#topology — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #topology, aggregated by home.social.
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The nuclear pore complex (7R5J & 7R5K) – one of the largest molecular machines in biology.
The nuclear pore complex is the gatekeeper of the cell nucleus – controlling everything that enters or leaves. We captured it in two states: open (dilated) and closed (constricted).
961665 quantum records
#StructuralBiology #Biophysics #Bioinformatics #Topology #InformationTheory #DNAFolding #ComputationalBiology #ComplexSystems #Genomics #OpenScience #EXXOGEN
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I have a horrible urge to chain up a pair of bikes in such a way that they are topologically separate from the chain, but only actually able to be separated if the chain were, in fact, at least 2-3 times longer.
Bonus points if I can actually link the chain to the rack at the same time.
#Cycling #Topology #EvilThoughts #NobodyMentionTheBoltCutters
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A solar eclipse in a wrapped world.
The moon radius is 2x smaller than Sun radius, but it is also 2x closer than Sun, so it covers the Sun exactly. Also there are actually 8 moons, so the periodic images of Sun are covered too.
The first image uses stereographic projection to achieve 210 degree field-of-vision, which looks cool, although maybe a bit cheating. The second one uses the usual linear perspective.
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MVspa_ Stochastic processes
Стохастические процессы, Випадкові процеси
#Stochastic processes
#Стохастическиепроцессы, #Випадковіпроцеси
t.me/scilib_yura15cbx/230MVsa Statistics and applications
Статистика та додатки, Статистика и приложения
#Statistics
t.me/scilib_yura15cbx/229EM_ Mechanics of elastic materials
Механіка пружних матеріалів, Механика упругих материалов
t.me/scilib_yura15cbx/228MPd_ Dynamical systems
Динамические системы, Динамічні системи
#Dynamical systems
t.me/scilib_yura15cbx/227MNw_ Wavelets, signal processing
Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
#Wavelets, #signal processing
t.me/scilib_yura15cbx/226MNs_ Simulations of physics
Физические симуляции
t.me/scilib_yura15cbx/225MNl_ Numerical linear algebra
Числова лінійна алгебра, Численная линейная алгебра
t.me/scilib_yura15cbx/224MNf_ Finite elements
Конечные элементы, Скінченні елементи
t.me/scilib_yura15cbx/223MNd_ Numerical calculus
t.me/scilib_yura15cbx/222MDgt_ General topology
#topology
Общая топология, Загальна топологія
t.me/scilib_yura15cbx/221MDdg_ Differential geometry
Диференціальна геометрія, Дифференциальная геометрия
t.me/scilib_yura15cbx/220MDat_ Algebraic and differential topology
Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
t.me/scilib_yura15cbx/219MCv_ Variational calculus
Варіаційне числення, Вариационное исчисление
t.me/scilib_yura15cbx/218MCta_ Tensor calculus, forms
Тензорное исчисление, формы, Тензорне числення, форми
t.me/scilib_yura15cbx/217MCsf_ Special functions
Спеціальні функції, Специальные функции
t.me/scilib_yura15cbx/216MCf_ Functional analysis
Функциональный анализ, Функціональний аналіз
t.me/scilib_yura15cbx/215MCet_ Elementary calculus textbooks
Підручники з елементарного числення, Учебники по элементарному исчислению
t.me/scilib_yura15cbx/214MCde_ Differential equations
Дифференциальные уравнения, Диференціальні рівняння
#Differential equations
t.me/scilib_yura15cbx/213MCcf_ Continued fractions
Суцільні дроби, Непрерывные дроби
t.me/scilib_yura15cbx/212MCc_ Complex variable
Комплексная переменная, Комплексна змінна
t.me/scilib_yura15cbx/211MCat_ Advanced calculus
t.me/scilib_yura15cbx/210Asymptotics, perturbations
Асимптотика, збурення,
Асимптотика, возмущения
#Asymptotics, #perturbations
#Асимптотика, #збурення,
#Асимптотика, #возмущения
t.me/scilib_yura15cbx/209Group theory, Теория групп, Теорія груп
#Group theory, #Теориягрупп, #Теоріягруп
t.me/scilib_yura15cbx/208Algebra textbooks,
Підручники з алгебри,
Учебники по алгебре
t.me/scilib_yura15cbx/207Set theory,
Теория множеств, Теорія множин
#Set theory,
#Теория множеств,
t.me/scilib_yura15cbx/206Representation theory
Теорія репрезентації, Теория представлений
t.me/scilib_yura15cbx/205Quantum groups
#Quantum groups
Квантовые группы, Квантові групи
t.me/scilib_yura15cbx/204Mathematical logic
#Mathematical logic
Математична логіка, Математическая логика
t.me/scilib_yura15cbx/203Linear algebra
#Linear algebra
Линейная алгебра, Лінійна алгебра
t.me/scilib_yura15cbx/202Homology, Гомологія, Гомология
#Homology, #Гомологія, #Гомология
t.me/scilib_yura15cbx/201Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Algebraic geometry
#Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Finite groups
Скінченні групи, Конечные группы
t.me/scilib_yura15cbx/199Differential algebra
#Differential algebra
Дифференциальная алгебра, Диференціальна алгебра
t.me/scilib_yura15cbx/198Category theory
Теорія категорій, Теория категорий -
MVspa_ Stochastic processes
Стохастические процессы, Випадкові процеси
#Stochastic processes
#Стохастическиепроцессы, #Випадковіпроцеси
t.me/scilib_yura15cbx/230MVsa Statistics and applications
Статистика та додатки, Статистика и приложения
#Statistics
t.me/scilib_yura15cbx/229EM_ Mechanics of elastic materials
Механіка пружних матеріалів, Механика упругих материалов
t.me/scilib_yura15cbx/228MPd_ Dynamical systems
Динамические системы, Динамічні системи
#Dynamical systems
t.me/scilib_yura15cbx/227MNw_ Wavelets, signal processing
Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
#Wavelets, #signal processing
t.me/scilib_yura15cbx/226MNs_ Simulations of physics
Физические симуляции
t.me/scilib_yura15cbx/225MNl_ Numerical linear algebra
Числова лінійна алгебра, Численная линейная алгебра
t.me/scilib_yura15cbx/224MNf_ Finite elements
Конечные элементы, Скінченні елементи
t.me/scilib_yura15cbx/223MNd_ Numerical calculus
t.me/scilib_yura15cbx/222MDgt_ General topology
#topology
Общая топология, Загальна топологія
t.me/scilib_yura15cbx/221MDdg_ Differential geometry
Диференціальна геометрія, Дифференциальная геометрия
t.me/scilib_yura15cbx/220MDat_ Algebraic and differential topology
Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
t.me/scilib_yura15cbx/219MCv_ Variational calculus
Варіаційне числення, Вариационное исчисление
t.me/scilib_yura15cbx/218MCta_ Tensor calculus, forms
Тензорное исчисление, формы, Тензорне числення, форми
t.me/scilib_yura15cbx/217MCsf_ Special functions
Спеціальні функції, Специальные функции
t.me/scilib_yura15cbx/216MCf_ Functional analysis
Функциональный анализ, Функціональний аналіз
t.me/scilib_yura15cbx/215MCet_ Elementary calculus textbooks
Підручники з елементарного числення, Учебники по элементарному исчислению
t.me/scilib_yura15cbx/214MCde_ Differential equations
Дифференциальные уравнения, Диференціальні рівняння
#Differential equations
t.me/scilib_yura15cbx/213MCcf_ Continued fractions
Суцільні дроби, Непрерывные дроби
t.me/scilib_yura15cbx/212MCc_ Complex variable
Комплексная переменная, Комплексна змінна
t.me/scilib_yura15cbx/211MCat_ Advanced calculus
t.me/scilib_yura15cbx/210Asymptotics, perturbations
Асимптотика, збурення,
Асимптотика, возмущения
#Asymptotics, #perturbations
#Асимптотика, #збурення,
#Асимптотика, #возмущения
t.me/scilib_yura15cbx/209Group theory, Теория групп, Теорія груп
#Group theory, #Теориягрупп, #Теоріягруп
t.me/scilib_yura15cbx/208Algebra textbooks,
Підручники з алгебри,
Учебники по алгебре
t.me/scilib_yura15cbx/207Set theory,
Теория множеств, Теорія множин
#Set theory,
#Теория множеств,
t.me/scilib_yura15cbx/206Representation theory
Теорія репрезентації, Теория представлений
t.me/scilib_yura15cbx/205Quantum groups
#Quantum groups
Квантовые группы, Квантові групи
t.me/scilib_yura15cbx/204Mathematical logic
#Mathematical logic
Математична логіка, Математическая логика
t.me/scilib_yura15cbx/203Linear algebra
#Linear algebra
Линейная алгебра, Лінійна алгебра
t.me/scilib_yura15cbx/202Homology, Гомологія, Гомология
#Homology, #Гомологія, #Гомология
t.me/scilib_yura15cbx/201Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Algebraic geometry
#Algebraic geometry
Алгебраическая геометрия, Алгебраїчна геометрія
t.me/scilib_yura15cbx/200Finite groups
Скінченні групи, Конечные группы
t.me/scilib_yura15cbx/199Differential algebra
#Differential algebra
Дифференциальная алгебра, Диференціальна алгебра
t.me/scilib_yura15cbx/198Category theory
Теорія категорій, Теория категорий -
Probability,
теорія ймовірностей, теория вероятностей
#Probability,
#теоріяймовірностей, #теориявероятностей
t.me/scilib_yura15cbx/193Number theory
Теория чисел, Теорія чисел
#Number theory
#Теориячисел, #Теоріячисел
t.me/scilib_yura15cbx/192References, Collected works
Література, Зібрання праць,
Ссылки, Собрание сочинений
t.me/scilib_yura15cbx/190Symmetry and groups
Симметрия и группы,
Симетрія і групи
#Symmetry
t.me/scilib_yura15cbx/189Philosophy of mathematics
Філософія математики, Философия математики
t.me/scilib_yura15cbx/188Mathematical physics
Математическая физика, Математична фізика
#Mathematical physics
#Математическаяфизика, #Математичнафізика
t.me/scilib_yura15cbx/187Optimization and control
Оптимізація та контроль, Оптимизация и контроль
t.me/scilib_yura15cbx/186Optimal control
Оптимальный контроль, Оптимальний контроль
#Optimal control
#Оптимальныйконтроль, #Оптимальнийконтроль
t.me/scilib_yura15cbx/185Numerical methods
Чисельні методи, Численные методы
#Numerical methods
#Чисельніметоди, #Численныеметоды
t.me/scilib_yura15cbx/184Lecture notes
Конспекты лекций, Конспект лекцiй
t.me/scilib_yura15cbx/183Encyclopaediae, School-level
Енциклопедії, Шкільний рівень
Энциклопедии, школьный уровень
t.me/scilib_yura15cbx/182Games, game theory
Ігри, теорія ігор
Игры, теория игр
#Games, #game theory
#Ігри, ₽теоріяігор
#Игры, #теорияигр
t.me/scilib_yura15cbx/181Geometry and topology
Геометрия и топология
Геометрія і топологія
#Geometry and #topology
#Геометрия и #топология
#Геометрія і #топологія
t.me/scilib_yura15cbx/180Biography, history
Биография, история
Біографія, історія
#Biography, #history
#Биография, #история
#Біографія, #історія
t.me/scilib_yura15cbx/178Mams_ Proceedings AMS
Праці AMS, Труды АМС
t.me/scilib_yura15cbx/177Algebra, Алгебра
#Algebra, #Алгебра
t.me/scilib_yura15cbx/176Optical devices
Оптика, оптические устройства, технологии, инжинерия
#Optical devices -
🤖🎩 Behold, the grandiose 'Principia Artificialis' where #AI #overlords supposedly hone their dark arts with fancy maths jargon like 'information geometry' and 'topology'—because plain English is for mere mortals. Meanwhile, #GitHub parades its automated code monkey, #Copilot, as humanity's savior, ensuring our inevitable dominion by lines of code. 🦾💻
https://github.com/holland202/Principia-Artificialis #InformationGeometry #Topology #CodeAutomation #HackerNews #ngated -
So in the end we finally have a decent app for the automatic remeshing in quad #topology
Below my first test one a bit messy done with #QRemeshify and the other with this new #autoremesher #opensource #b3d #CAD #fc3d #blender3d #3D #CGI -
While teaching a course on algebraic theories last semester I mentioned at some point that the familiar bicomplete categories Top and Poset were not algebraic, but were topological. A student asked about this later on and I found that the #Wikipedia page on «topological category» pointed to categories enriched in Top, not categories with a forgetful functor to Set which is topological. While I have lost a lot of faith in Wikipedia recently, I am pleased to report that https://en.wikipedia.org/wiki/Topological_category is now a disambiguation page.
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Some mathematical research that I've been doing. I just took a screenshot of my status update on DeviantArt, since there's no way I can fit it into the Mastodon format.
#Math #Maths #Mathematics #Mathematical #Fractal #Fractals #Topology #Geometry #Geometric #Research #Series #Theorem #Proof #Deduction #Mathstodon
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💁🏻♀️ TIL: 🧵🌐 The hairy ball #theorem says you can’t comb a #sphere smooth without a cowlick somewhere.
The same rule explains why #Earth always has a #cyclone spinning, why #fusion reactors use #doughnut shapes, and why omnidirectional antennas can’t exist. #Wind patterns over the #Arctic and #Antarctic circles illustrate the proof.
👉 https://www.scientificamerican.com/article/how-maths-hairy-ball-theorem-could-explain-bad-hair-days/
#topology #math #weather #hurricane #nuclearfusion #tokamak #plasma #science #hair
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A long-theorized material has become reality: DNA-based Olympic gels. Their structure is stabilized not by chemical crosslinks, but by mechanically interlocked molecular rings. A striking example of how geometry and topology shape material behavior.
🔗 https://phys.org/news/2026-04-olympic-gels-theorized-class-dna.html
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A magnetic hopfion is a highly stable, three-dimensional magnetic structure in which electron spins exhibit all possible directions within a limited volume, forming closed and linked loops.
#CondensedMatterPhysics #Spintronics #Topology #sflorg
https://www.sflorg.com/2026/05/phy05222601.html -
A molecule with half-Möbius topology
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Black holes and topological vortices in a discrete spacetime lattice.
This is not an animation.I created a simulation where particle stability is maintained by internal field tension rather than hard coded rules. I didn't program any velocity increase the geometry itself is generating the motion.
#Topology
#Gravity
#blackholes
#nonlineardynamics
#Superfluid #Physics
#Simulation
#QuantumPhysics
#computationalphysics
#emergence -
Black holes and topological vortices in a discrete spacetime lattice.
This is not an animation.#Topology
#Gravity
#blackholes
#nonlineardynamics
#Superfluid #Physics
#Simulation
#QuantumPhysics
#computationalphysics
#Emergence -
James C. Scott et les sociétés anti-étatiques : Zomia comme art de la fuite
Dans The Art of Not Being Governed, James C. Scott inverse le récit classique de la civilisation : les peuples des montagnes ne seraient pas des “restes du passé”, mais des sociétés organisées pour échapper à l’État. #state #civilization #Scott #zomia #topology #history #anthropology #resistance Le livre de James C. Scott propose une thèse décisive : une grande partie des populations dites…
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🏛️ Paper 5 The Fortress
Resilience Architectures and Topological Stabilization
Delaying the Velocity of Transition in Persistent Systems
Phase 5 explored:
• persistence
• leakage
• latency
• collapse
• threshold failure
Paper 5 asks the inverse question:
Why do some systems survive?
The answer proposed here is not “strength.”
It is:
• active maintenance
• adaptive geometry
• compartmentalization
• buffering
• rerouting
• and continuous energetic expenditure.
Persistence is not preserved.
Persistence is maintained.
This introduces: • the Maintenance Inequality
• the Red Queen Dynamic
• heterogeneous redundancy ($R_d$)
• buffer capacity ($C_{buffer}$)
• and geometric stabilization as an anti-collapse architecture.The accompanying VR-05 Evidence Card may be the clearest visual summary of the series.
🌿☕🏛️
#HybridMind42 #AtlasRosetta #Resilience #SystemsThinking #ComplexSystems #ScientificIllustration #Topology #BoundaryTheory #Physics #InterdisciplinaryResearch -
🐘 🏛️ Phase 3 — Paper 2:
The Topology of Asymmetric PersistenceMost failures don’t start with collapse.
They start with directional leakage.
One direction still works.
The other quietly fails.
This paper formalises:
• Asymmetry Coefficient (α) → direction of failure
• Boundary Gradient (σ) → rate of degradation👉 systems can appear stable while already failing
https://substack.com/@hybridmind42/note/c-250862953?r=75c2ac
🐾 “It didn’t stop working all at once.”
#HybridMind42 #BoundaryDynamics #Physics #ComplexSystems #Topology #BFPF -
Researchers have discovered a hidden topological property of light that enables it to naturally develop chiral behavior—spinning and twisting—as it travels freely through empty space.
#Optics #QuantumPhysics #Topology #sflorg
https://www.sflorg.com/2026/04/phy04282602.html -
Differential Propositional Calculus • 10
Special Classes of Propositions (cont.)
Let’s pause at this point and get a better sense of how our special classes of propositions are structured and how they relate to propositions in general. We can do this by recruiting our visual imaginations and drawing up a sufficient budget of venn diagrams for each family of propositions. The case for 3 variables is exemplary enough for a start.
Linear Propositions
The linear propositions, may be written as sums:
One thing to keep in mind about these sums is that the values in are added “modulo 2”, that is, in such a way that
In a universe of discourse based on three boolean variables, the linear propositions take the shapes shown in Figure 8.
At the top is the venn diagram for the linear proposition of rank 3, which may be expressed by any one of the following three forms.
Next are the venn diagrams for the three linear propositions of rank 2, which may be expressed by the following three forms, respectively.
Next are the three linear propositions of rank 1, which are none other than the three basic propositions,
At the bottom is the linear proposition of rank 0, the everywhere false proposition or the constant function, which may be expressed by the form or by a simple
Resources
cc: Academia.edu • Cybernetics • Structural Modeling • Systems Science
cc: Conceptual Graphs • Laws of Form • Mathstodon • Research Gate#Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #CategoryTheory #Change #Cybernetics #DifferentialAnalyticTuringAutomata #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GraphTheory #Hologrammautomaton #IndicatorFunctions #InquiryDrivenSystems #Leibniz #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Topology #Visualization
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The following list identifies the longest escarpments on the planet. Escarpments are defined as follows:
Escarpment: “A steep slope or long cliff that results from erosion or faulting and separates two relatively level areas of differing elevations.”
Source: The American Heritage® Dictionary of the English Language, 5th Edition
If you have ever driven along the Ohio Turnpike near Cleveland, you have gone up/down the Portage Escarpment. Similarly, between Toronto and London Ontario, one would have to cross the Niagara Escarpment. In fact, Niagara Falls, on the New York/Ontario border, are literally a part of the Niagara Escarpment. The falls are where the elevation drops dramatically between Lake Erie (571 feet above sea level) on the upper side and Lake Ontario (243 feet above sea level) on the lower side of the escarpment. The Welland Canal was specifically built to bypass the falls and cross the escarpment.
Niagara Falls on the Niagara Escarpment -Source: driftwoodjournals.comSimilar examples of lengthy escarpments can be found worldwide on every continent including Antarctica. And the steepness/sheerness of them can vary too, as the Cody Scarp in northern Florida is comparatively quite mild. However, most escarpments are quite bold, rapidly rising to elevations well above the surrounding terrain. The sharp change can often be measured in hundreds or thousands of feet.
In several cases, hiking trails or scenic byways have been developed along or near the rim of these magnificent natural features, providing amazing visiting fr those trekking them. Blue Ridge Parkway, Mogollon Rim Road and Skyline Drive are examples of scenic byways while the Knobstone Trail in Indiana and the developing Mogollon Rim Trail in Arizona are hiking routes.
Knobstone Hiking Trail in Indiana – Source: Indianaoutfitters.comFor proposes of this post a minimum length of 10 miles was required and escarpments which are primarily situated underwater (ocean/sea/lake, etc.) are not included. Those shown in italics the author has seen or traveled across. Peace!
- Great Escarpment of Southern Africa = 3,107 miles/5,000 km
Africa – Source: alexnail.com2. Great Escarpment (Oceania) = 2,200 miles/3,600 km
Great Australian Escarpment (red) – Source: researchgate.net3. Grande Escarpa do Brasil (South America) = 1,600 miles/2,600 km
Source: sarthaks.com4. Niagara Escarpment (North America) = 1,000 miles/1609 km
Niagara Escarpment – Source: Waterloo.ca5. Atlantic Seaboard Fall Line (North America) = 900 miles/1,400 km
Fall Line (thicker red line) – Source: alchetron,com6. Portage Escarpment (North America) ~ 653 miles/1051 km
Portage Escarpment – Source: kids.kiddle.co7-8. Darling Scarp (Oceania) and Madagascar East Coast Escarpment (Africa) = 620 miles/1,000 km
9. Blue Ridge Escarpment (North America) = 550 miles/885 km
10. Tuwaiq Escarpment (Asia) = 500 miles/800 km
11. Zambezi Escarpment (Africa) = 497 miles/800 km
12. Manitoba/Pembina Escarpment (North America) = 419 miles/675 km
13-14. Sierra Escarpment (North America) = 400 miles/644 km Balcones Escarpment (North America) ~ 400 miles/644 km
Balcones and Caprock Escarpments in Texas – Source: weather.gov15. Book Cliffs Escarpment (North America) = 250 miles/402 km *longest continuous escarpment in the world
16-17. Caprock Escarpment (North America) and Mogollon Rim (North America) = 200 miles/320 km
Source: i0wp.com18. Usas Escarpment (Antarctica) = 199 miles/320 km
19. Roan Cliffs Escarpment (North America) = 190 miles/306 km – separate escarpment atop the Book Cliffs Escarpment
20. Allegheny Front (North America) = 180 miles/290 km
21. Western Andean Escarpment (South America) = 155 miles/250 km
22. North Downs Chalk Escarpment = 153 miles/246 km
23. Knobstone Escarpment (North America) = 150 miles/241 km
24. Nullarbor Scarp (Oceania) = 130 miles/210 km
25. Missouri Escarpment (North America) = 100 miles/161 km
26-27. Bandiagara Escarpment (Africa) and Vermillion-Echo Cliffs Escarpment (North America) = 90 miles/160 km
Clearly defined Vermillion Cliffs (left) and Echo Cliffs (right) – Source: maps.google.com28. South Downs Chalk Escarpment (Europe) = 68 miles/110 km
29. Onondaga Escarpment (North America) = 62 miles/100km
30. Illawarra Escarpment (Oceania) = 57 miles/92 km
31-32. Lincoln/Trent Cliff (Europe) and Mescalero Ridge (North America) = 50 miles/80 km
33. Chiltern Escarpment (Europe) = 45 miles/72 km
34. Côte d’Or (Europe) = 30 miles/48 km
35. Catskills Escarpment (North America) = 24 miles/38 km
36. Palisades Escarpment (North America) = 20 miles/34 km
37. Wenlock Edge (Europe) = 19 miles/31 km
38. Chinese Wall Escarpment (North America) = 12 miles/19 km
Chinese Wall Escarpment in Montana – Source: pinterest.com39-40. Duluth Escarpment (North America) and Black Mountain Escarpment (Europe) = 11 miles/18 km
Portions of the Niagara and Onondaga Escarpments in New York – Source: falzguy.comOther Escarpments – More Information Needed
- Cody Scarp (North America)
- Elgeyo Escarpement (Africa)
- Eardley Escarpment (North America) = 40+ km
- Kaimai Escarpment (Oceania)
- Muldraugh Hill Escarpment (North America)
- Pottsville/Cumberland Escarpment (North America)
- Sharon Escarpment (Asia)
- Gotland–Saaremaa Klint (Europe) = 180+ km
- Wulian Feng (Asia)
SOURCES:
- https://en.wikipedia.org/wiki/Escarpment
- https://www.britannica.com/place/Niagara-Escarpment
- https://www.britannica.com/place/Serra-do-Mar
- https://www.dmr.nd.gov/ndgs/ndnotes/pembina/Pembina.htm
- personal knowledge
- https://www.manitoba.ca/iem/geo/mgstracker/images/region6/2010_fieldtrip.pdf
- https://www.greatnortherncatskills.com/how-thru-hike-escarpment-trail
- https://en-academic.com/dic.nsf/enwiki/4787527
- https://falzguy.com/escarp-niag-onon.html#:~:text=The%20Onondaga%20Escarpment%20begins%20at,600%20feet%20above%20sea%20level.
- https://www.geneseo.edu/sites/default/files/2023-08/Brett%20and%20Brett%20SDS%202023%20Part%201%20-%20Niagara%20Frontier.pdf
- https://oldleacounty.com/2021/07/13/mescalero-ridge/
- https://www.sciencedirect.com/science/article/pii/S0040195101002128
- https://en.wikipedia.org/wiki/Tuwaiq
- https://www.researchgate.net/profile/Nigel-Barker-2/publication/234834352_The_Great_Escarpment_of_Southern_Africa_A_New_Frontier_for_Biodiversity_Exploration/links/0fcfd510128f337795000000/The-Great-Escarpment-of-Southern-Africa-A-New-Frontier-for-Biodiversity-Exploration.pdf
- https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2022JF007001#:~:text=Eastern%20Madagascar%20is%20characterized%20by,et%20al.%2C%202021).
- https://en.wikipedia.org/wiki/Bunda_Cliffs
- https://kentdowns.org.uk/north-downs-way/#:~:text=Passing%20through%20153%20miles%20of,life%2Dchanging%20long%20distance%20walk.
- https://www.blackmountainswalking.co.uk/the-black-mountains-magic
- https://thevinofiles.typepad.com/the_vino_files/2008/09/burgundy-2.html#:~:text=For%20all%20its%20notoriety%2C%20the,past%20Santenay%20in%20the%20south.
- https://www.looduskalender.ee/klint/eng/5.html
- https://www.neilyworld.com/neilyworld/eegpnw.htm
- https://www.swimdrinkfish.ca/lake-ontario-waterkeeper/blog/19870
- https://en.wikipedia.org/wiki/The_Palisades_(Hudson_River)
- https://suwa.org/multimedia/map/book-cliffsdesolation-canyon-region/#:~:text=Winding%20for%20250%20miles%20across,continuous%20escarpment%20in%20the%20world.
- https://en.wikipedia.org/wiki/Roan_Cliffs#:~:text=Stretching%20nearly%20190%20miles%20(310,the%20Carbon%E2%80%91Duchesne%20county%20line.
- https://duluthmn.gov/media/7719/skyline_map.pdf
- https://www.lakesuperiorstreams.org/understanding/geology.html
- https://falzguy.com/escarp-niag-onon.html
- https://howardfalls.org/2023/08/24/the-portage-escarpment/
- https://janelcurry.com/blog1/understanding-western-new-york
- https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=3134&context=geosci_geo_peteng_facwork
https://panethos.wordpress.com/2024/01/11/natures-sheer-cliffs-the-worlds-longest-escarpments/
#bluffs #cliffs #ecology #ecosystems #environment #escarpments #geology #hiking #history #landUse #mountains #planning #rims #topology #travel
-
The following list identifies the longest escarpments on the planet. Escarpments are defined as follows:
Escarpment: “A steep slope or long cliff that results from erosion or faulting and separates two relatively level areas of differing elevations.”
Source: The American Heritage® Dictionary of the English Language, 5th Edition
If you have ever driven along the Ohio Turnpike near Cleveland, you have gone up/down the Portage Escarpment. Similarly, between Toronto and London Ontario, one would have to cross the Niagara Escarpment. In fact, Niagara Falls, on the New York/Ontario border, are literally a part of the Niagara Escarpment. The falls are where the elevation drops dramatically between Lake Erie (571 feet above sea level) on the upper side and Lake Ontario (243 feet above sea level) on the lower side of the escarpment. The Welland Canal was specifically built to bypass the falls and cross the escarpment.
Niagara Falls on the Niagara Escarpment -Source: driftwoodjournals.comSimilar examples of lengthy escarpments can be found worldwide on every continent including Antarctica. And the steepness/sheerness of them can vary too, as the Cody Scarp in northern Florida is comparatively quite mild. However, most escarpments are quite bold, rapidly rising to elevations well above the surrounding terrain. The sharp change can often be measured in hundreds or thousands of feet.
In several cases, hiking trails or scenic byways have been developed along or near the rim of these magnificent natural features, providing amazing visiting fr those trekking them. Blue Ridge Parkway, Mogollon Rim Road and Skyline Drive are examples of scenic byways while the Knobstone Trail in Indiana and the developing Mogollon Rim Trail in Arizona are hiking routes.
Knobstone Hiking Trail in Indiana – Source: Indianaoutfitters.comFor proposes of this post a minimum length of 10 miles was required and escarpments which are primarily situated underwater (ocean/sea/lake, etc.) are not included. Those shown in italics the author has seen or traveled across. Peace!
- Great Escarpment of Southern Africa = 3,107 miles/5,000 km
Africa – Source: alexnail.com2. Great Escarpment (Oceania) = 2,200 miles/3,600 km
Great Australian Escarpment (red) – Source: researchgate.net3. Grande Escarpa do Brasil (South America) = 1,600 miles/2,600 km
Source: sarthaks.com4. Niagara Escarpment (North America) = 1,000 miles/1609 km
Niagara Escarpment – Source: Waterloo.ca5. Atlantic Seaboard Fall Line (North America) = 900 miles/1,400 km
Fall Line (thicker red line) – Source: alchetron,com6. Portage Escarpment (North America) ~ 653 miles/1051 km
Portage Escarpment – Source: kids.kiddle.co7-8. Darling Scarp (Oceania) and Madagascar East Coast Escarpment (Africa) = 620 miles/1,000 km
9. Blue Ridge Escarpment (North America) = 550 miles/885 km
10. Tuwaiq Escarpment (Asia) = 500 miles/800 km
11. Zambezi Escarpment (Africa) = 497 miles/800 km
12. Manitoba/Pembina Escarpment (North America) = 419 miles/675 km
13-14. Sierra Escarpment (North America) = 400 miles/644 km Balcones Escarpment (North America) ~ 400 miles/644 km
Balcones and Caprock Escarpments in Texas – Source: weather.gov15. Book Cliffs Escarpment (North America) = 250 miles/402 km *longest continuous escarpment in the world
16-17. Caprock Escarpment (North America) and Mogollon Rim (North America) = 200 miles/320 km
Source: i0wp.com18. Usas Escarpment (Antarctica) = 199 miles/320 km
19. Roan Cliffs Escarpment (North America) = 190 miles/306 km – separate escarpment atop the Book Cliffs Escarpment
20. Allegheny Front (North America) = 180 miles/290 km
21. Western Andean Escarpment (South America) = 155 miles/250 km
22. North Downs Chalk Escarpment = 153 miles/246 km
23. Knobstone Escarpment (North America) = 150 miles/241 km
24. Nullarbor Scarp (Oceania) = 130 miles/210 km
25. Missouri Escarpment (North America) = 100 miles/161 km
26-27. Bandiagara Escarpment (Africa) and Vermillion-Echo Cliffs Escarpment (North America) = 90 miles/160 km
Clearly defined Vermillion Cliffs (left) and Echo Cliffs (right) – Source: maps.google.com28. South Downs Chalk Escarpment (Europe) = 68 miles/110 km
29. Onondaga Escarpment (North America) = 62 miles/100km
30. Illawarra Escarpment (Oceania) = 57 miles/92 km
31-32. Lincoln/Trent Cliff (Europe) and Mescalero Ridge (North America) = 50 miles/80 km
33. Chiltern Escarpment (Europe) = 45 miles/72 km
34. Côte d’Or (Europe) = 30 miles/48 km
35. Catskills Escarpment (North America) = 24 miles/38 km
36. Palisades Escarpment (North America) = 20 miles/34 km
37. Wenlock Edge (Europe) = 19 miles/31 km
38. Chinese Wall Escarpment (North America) = 12 miles/19 km
Chinese Wall Escarpment in Montana – Source: pinterest.com39-40. Duluth Escarpment (North America) and Black Mountain Escarpment (Europe) = 11 miles/18 km
Portions of the Niagara and Onondaga Escarpments in New York – Source: falzguy.comOther Escarpments – More Information Needed
- Cody Scarp (North America)
- Elgeyo Escarpement (Africa)
- Eardley Escarpment (North America) = 40+ km
- Kaimai Escarpment (Oceania)
- Muldraugh Hill Escarpment (North America)
- Pottsville/Cumberland Escarpment (North America)
- Sharon Escarpment (Asia)
- Gotland–Saaremaa Klint (Europe) = 180+ km
- Wulian Feng (Asia)
SOURCES:
- https://en.wikipedia.org/wiki/Escarpment
- https://www.britannica.com/place/Niagara-Escarpment
- https://www.britannica.com/place/Serra-do-Mar
- https://www.dmr.nd.gov/ndgs/ndnotes/pembina/Pembina.htm
- personal knowledge
- https://www.manitoba.ca/iem/geo/mgstracker/images/region6/2010_fieldtrip.pdf
- https://www.greatnortherncatskills.com/how-thru-hike-escarpment-trail
- https://en-academic.com/dic.nsf/enwiki/4787527
- https://falzguy.com/escarp-niag-onon.html#:~:text=The%20Onondaga%20Escarpment%20begins%20at,600%20feet%20above%20sea%20level.
- https://www.geneseo.edu/sites/default/files/2023-08/Brett%20and%20Brett%20SDS%202023%20Part%201%20-%20Niagara%20Frontier.pdf
- https://oldleacounty.com/2021/07/13/mescalero-ridge/
- https://www.sciencedirect.com/science/article/pii/S0040195101002128
- https://en.wikipedia.org/wiki/Tuwaiq
- https://www.researchgate.net/profile/Nigel-Barker-2/publication/234834352_The_Great_Escarpment_of_Southern_Africa_A_New_Frontier_for_Biodiversity_Exploration/links/0fcfd510128f337795000000/The-Great-Escarpment-of-Southern-Africa-A-New-Frontier-for-Biodiversity-Exploration.pdf
- https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2022JF007001#:~:text=Eastern%20Madagascar%20is%20characterized%20by,et%20al.%2C%202021).
- https://en.wikipedia.org/wiki/Bunda_Cliffs
- https://kentdowns.org.uk/north-downs-way/#:~:text=Passing%20through%20153%20miles%20of,life%2Dchanging%20long%20distance%20walk.
- https://www.blackmountainswalking.co.uk/the-black-mountains-magic
- https://thevinofiles.typepad.com/the_vino_files/2008/09/burgundy-2.html#:~:text=For%20all%20its%20notoriety%2C%20the,past%20Santenay%20in%20the%20south.
- https://www.looduskalender.ee/klint/eng/5.html
- https://www.neilyworld.com/neilyworld/eegpnw.htm
- https://www.swimdrinkfish.ca/lake-ontario-waterkeeper/blog/19870
- https://en.wikipedia.org/wiki/The_Palisades_(Hudson_River)
- https://suwa.org/multimedia/map/book-cliffsdesolation-canyon-region/#:~:text=Winding%20for%20250%20miles%20across,continuous%20escarpment%20in%20the%20world.
- https://en.wikipedia.org/wiki/Roan_Cliffs#:~:text=Stretching%20nearly%20190%20miles%20(310,the%20Carbon%E2%80%91Duchesne%20county%20line.
- https://duluthmn.gov/media/7719/skyline_map.pdf
- https://www.lakesuperiorstreams.org/understanding/geology.html
- https://falzguy.com/escarp-niag-onon.html
- https://howardfalls.org/2023/08/24/the-portage-escarpment/
- https://janelcurry.com/blog1/understanding-western-new-york
- https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=3134&context=geosci_geo_peteng_facwork
https://panethos.wordpress.com/2024/01/11/natures-sheer-cliffs-the-worlds-longest-escarpments/
#bluffs #cliffs #ecology #ecosystems #environment #escarpments #geology #hiking #history #landUse #mountains #planning #rims #topology #travel
-
The following list identifies the longest escarpments on the planet. Escarpments are defined as follows:
Escarpment: “A steep slope or long cliff that results from erosion or faulting and separates two relatively level areas of differing elevations.”
Source: The American Heritage® Dictionary of the English Language, 5th Edition
If you have ever driven along the Ohio Turnpike near Cleveland, you have gone up/down the Portage Escarpment. Similarly, between Toronto and London Ontario, one would have to cross the Niagara Escarpment. In fact, Niagara Falls, on the New York/Ontario border, are literally a part of the Niagara Escarpment. The falls are where the elevation drops dramatically between Lake Erie (571 feet above sea level) on the upper side and Lake Ontario (243 feet above sea level) on the lower side of the escarpment. The Welland Canal was specifically built to bypass the falls and cross the escarpment.
Niagara Falls on the Niagara Escarpment -Source: driftwoodjournals.comSimilar examples of lengthy escarpments can be found worldwide on every continent including Antarctica. And the steepness/sheerness of them can vary too, as the Cody Scarp in northern Florida is comparatively quite mild. However, most escarpments are quite bold, rapidly rising to elevations well above the surrounding terrain. The sharp change can often be measured in hundreds or thousands of feet.
In several cases, hiking trails or scenic byways have been developed along or near the rim of these magnificent natural features, providing amazing visiting fr those trekking them. Blue Ridge Parkway, Mogollon Rim Road and Skyline Drive are examples of scenic byways while the Knobstone Trail in Indiana and the developing Mogollon Rim Trail in Arizona are hiking routes.
Knobstone Hiking Trail in Indiana – Source: Indianaoutfitters.comFor proposes of this post a minimum length of 10 miles was required and escarpments which are primarily situated underwater (ocean/sea/lake, etc.) are not included. Those shown in italics the author has seen or traveled across. Peace!
- Great Escarpment of Southern Africa = 3,107 miles/5,000 km
Africa – Source: alexnail.com2. Great Escarpment (Oceania) = 2,200 miles/3,600 km
Great Australian Escarpment (red) – Source: researchgate.net3. Grande Escarpa do Brasil (South America) = 1,600 miles/2,600 km
Source: sarthaks.com4. Niagara Escarpment (North America) = 1,000 miles/1609 km
Niagara Escarpment – Source: Waterloo.ca5. Atlantic Seaboard Fall Line (North America) = 900 miles/1,400 km
Fall Line (thicker red line) – Source: alchetron,com6. Portage Escarpment (North America) ~ 653 miles/1051 km
Portage Escarpment – Source: kids.kiddle.co7-8. Darling Scarp (Oceania) and Madagascar East Coast Escarpment (Africa) = 620 miles/1,000 km
9. Blue Ridge Escarpment (North America) = 550 miles/885 km
10. Tuwaiq Escarpment (Asia) = 500 miles/800 km
11. Zambezi Escarpment (Africa) = 497 miles/800 km
12. Manitoba/Pembina Escarpment (North America) = 419 miles/675 km
13-14. Sierra Escarpment (North America) = 400 miles/644 km Balcones Escarpment (North America) ~ 400 miles/644 km
Balcones and Caprock Escarpments in Texas – Source: weather.gov15. Book Cliffs Escarpment (North America) = 250 miles/402 km *longest continuous escarpment in the world
16-17. Caprock Escarpment (North America) and Mogollon Rim (North America) = 200 miles/320 km
Source: i0wp.com18. Usas Escarpment (Antarctica) = 199 miles/320 km
19. Roan Cliffs Escarpment (North America) = 190 miles/306 km – separate escarpment atop the Book Cliffs Escarpment
20. Allegheny Front (North America) = 180 miles/290 km
21. Western Andean Escarpment (South America) = 155 miles/250 km
22. North Downs Chalk Escarpment = 153 miles/246 km
23. Knobstone Escarpment (North America) = 150 miles/241 km
24. Nullarbor Scarp (Oceania) = 130 miles/210 km
25. Missouri Escarpment (North America) = 100 miles/161 km
26-27. Bandiagara Escarpment (Africa) and Vermillion-Echo Cliffs Escarpment (North America) = 90 miles/160 km
Clearly defined Vermillion Cliffs (left) and Echo Cliffs (right) – Source: maps.google.com28. South Downs Chalk Escarpment (Europe) = 68 miles/110 km
29. Onondaga Escarpment (North America) = 62 miles/100km
30. Illawarra Escarpment (Oceania) = 57 miles/92 km
31-32. Lincoln/Trent Cliff (Europe) and Mescalero Ridge (North America) = 50 miles/80 km
33. Chiltern Escarpment (Europe) = 45 miles/72 km
34. Côte d’Or (Europe) = 30 miles/48 km
35. Catskills Escarpment (North America) = 24 miles/38 km
36. Palisades Escarpment (North America) = 20 miles/34 km
37. Wenlock Edge (Europe) = 19 miles/31 km
38. Chinese Wall Escarpment (North America) = 12 miles/19 km
Chinese Wall Escarpment in Montana – Source: pinterest.com39-40. Duluth Escarpment (North America) and Black Mountain Escarpment (Europe) = 11 miles/18 km
Portions of the Niagara and Onondaga Escarpments in New York – Source: falzguy.comOther Escarpments – More Information Needed
- Cody Scarp (North America)
- Elgeyo Escarpement (Africa)
- Eardley Escarpment (North America) = 40+ km
- Kaimai Escarpment (Oceania)
- Muldraugh Hill Escarpment (North America)
- Pottsville/Cumberland Escarpment (North America)
- Sharon Escarpment (Asia)
- Gotland–Saaremaa Klint (Europe) = 180+ km
- Wulian Feng (Asia)
SOURCES:
- https://en.wikipedia.org/wiki/Escarpment
- https://www.britannica.com/place/Niagara-Escarpment
- https://www.britannica.com/place/Serra-do-Mar
- https://www.dmr.nd.gov/ndgs/ndnotes/pembina/Pembina.htm
- personal knowledge
- https://www.manitoba.ca/iem/geo/mgstracker/images/region6/2010_fieldtrip.pdf
- https://www.greatnortherncatskills.com/how-thru-hike-escarpment-trail
- https://en-academic.com/dic.nsf/enwiki/4787527
- https://falzguy.com/escarp-niag-onon.html#:~:text=The%20Onondaga%20Escarpment%20begins%20at,600%20feet%20above%20sea%20level.
- https://www.geneseo.edu/sites/default/files/2023-08/Brett%20and%20Brett%20SDS%202023%20Part%201%20-%20Niagara%20Frontier.pdf
- https://oldleacounty.com/2021/07/13/mescalero-ridge/
- https://www.sciencedirect.com/science/article/pii/S0040195101002128
- https://en.wikipedia.org/wiki/Tuwaiq
- https://www.researchgate.net/profile/Nigel-Barker-2/publication/234834352_The_Great_Escarpment_of_Southern_Africa_A_New_Frontier_for_Biodiversity_Exploration/links/0fcfd510128f337795000000/The-Great-Escarpment-of-Southern-Africa-A-New-Frontier-for-Biodiversity-Exploration.pdf
- https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2022JF007001#:~:text=Eastern%20Madagascar%20is%20characterized%20by,et%20al.%2C%202021).
- https://en.wikipedia.org/wiki/Bunda_Cliffs
- https://kentdowns.org.uk/north-downs-way/#:~:text=Passing%20through%20153%20miles%20of,life%2Dchanging%20long%20distance%20walk.
- https://www.blackmountainswalking.co.uk/the-black-mountains-magic
- https://thevinofiles.typepad.com/the_vino_files/2008/09/burgundy-2.html#:~:text=For%20all%20its%20notoriety%2C%20the,past%20Santenay%20in%20the%20south.
- https://www.looduskalender.ee/klint/eng/5.html
- https://www.neilyworld.com/neilyworld/eegpnw.htm
- https://www.swimdrinkfish.ca/lake-ontario-waterkeeper/blog/19870
- https://en.wikipedia.org/wiki/The_Palisades_(Hudson_River)
- https://suwa.org/multimedia/map/book-cliffsdesolation-canyon-region/#:~:text=Winding%20for%20250%20miles%20across,continuous%20escarpment%20in%20the%20world.
- https://en.wikipedia.org/wiki/Roan_Cliffs#:~:text=Stretching%20nearly%20190%20miles%20(310,the%20Carbon%E2%80%91Duchesne%20county%20line.
- https://duluthmn.gov/media/7719/skyline_map.pdf
- https://www.lakesuperiorstreams.org/understanding/geology.html
- https://falzguy.com/escarp-niag-onon.html
- https://howardfalls.org/2023/08/24/the-portage-escarpment/
- https://janelcurry.com/blog1/understanding-western-new-york
- https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=3134&context=geosci_geo_peteng_facwork
https://panethos.wordpress.com/2024/01/11/natures-sheer-cliffs-the-worlds-longest-escarpments/
#bluffs #cliffs #ecology #ecosystems #environment #escarpments #geology #hiking #history #landUse #mountains #planning #rims #topology #travel
-
The following list identifies the longest escarpments on the planet. Escarpments are defined as follows:
Escarpment: “A steep slope or long cliff that results from erosion or faulting and separates two relatively level areas of differing elevations.”
Source: The American Heritage® Dictionary of the English Language, 5th Edition
If you have ever driven along the Ohio Turnpike near Cleveland, you have gone up/down the Portage Escarpment. Similarly, between Toronto and London Ontario, one would have to cross the Niagara Escarpment. In fact, Niagara Falls, on the New York/Ontario border, are literally a part of the Niagara Escarpment. The falls are where the elevation drops dramatically between Lake Erie (571 feet above sea level) on the upper side and Lake Ontario (243 feet above sea level) on the lower side of the escarpment. The Welland Canal was specifically built to bypass the falls and cross the escarpment.
Niagara Falls on the Niagara Escarpment -Source: driftwoodjournals.comSimilar examples of lengthy escarpments can be found worldwide on every continent including Antarctica. And the steepness/sheerness of them can vary too, as the Cody Scarp in northern Florida is comparatively quite mild. However, most escarpments are quite bold, rapidly rising to elevations well above the surrounding terrain. The sharp change can often be measured in hundreds or thousands of feet.
In several cases, hiking trails or scenic byways have been developed along or near the rim of these magnificent natural features, providing amazing visiting fr those trekking them. Blue Ridge Parkway, Mogollon Rim Road and Skyline Drive are examples of scenic byways while the Knobstone Trail in Indiana and the developing Mogollon Rim Trail in Arizona are hiking routes.
Knobstone Hiking Trail in Indiana – Source: Indianaoutfitters.comFor proposes of this post a minimum length of 10 miles was required and escarpments which are primarily situated underwater (ocean/sea/lake, etc.) are not included. Those shown in italics the author has seen or traveled across. Peace!
- Great Escarpment of Southern Africa = 3,107 miles/5,000 km
Africa – Source: alexnail.com2. Great Escarpment (Oceania) = 2,200 miles/3,600 km
Great Australian Escarpment (red) – Source: researchgate.net3. Grande Escarpa do Brasil (South America) = 1,600 miles/2,600 km
Source: sarthaks.com4. Niagara Escarpment (North America) = 1,000 miles/1609 km
Niagara Escarpment – Source: Waterloo.ca5. Atlantic Seaboard Fall Line (North America) = 900 miles/1,400 km
Fall Line (thicker red line) – Source: alchetron,com6. Portage Escarpment (North America) ~ 653 miles/1051 km
Portage Escarpment – Source: kids.kiddle.co7-8. Darling Scarp (Oceania) and Madagascar East Coast Escarpment (Africa) = 620 miles/1,000 km
9. Blue Ridge Escarpment (North America) = 550 miles/885 km
10. Tuwaiq Escarpment (Asia) = 500 miles/800 km
11. Zambezi Escarpment (Africa) = 497 miles/800 km
12. Manitoba/Pembina Escarpment (North America) = 419 miles/675 km
13-14. Sierra Escarpment (North America) = 400 miles/644 km Balcones Escarpment (North America) ~ 400 miles/644 km
Balcones and Caprock Escarpments in Texas – Source: weather.gov15. Book Cliffs Escarpment (North America) = 250 miles/402 km *longest continuous escarpment in the world
16-17. Caprock Escarpment (North America) and Mogollon Rim (North America) = 200 miles/320 km
Source: i0wp.com18. Usas Escarpment (Antarctica) = 199 miles/320 km
19. Roan Cliffs Escarpment (North America) = 190 miles/306 km – separate escarpment atop the Book Cliffs Escarpment
20. Allegheny Front (North America) = 180 miles/290 km
21. Western Andean Escarpment (South America) = 155 miles/250 km
22. North Downs Chalk Escarpment = 153 miles/246 km
23. Knobstone Escarpment (North America) = 150 miles/241 km
24. Nullarbor Scarp (Oceania) = 130 miles/210 km
25. Missouri Escarpment (North America) = 100 miles/161 km
26-27. Bandiagara Escarpment (Africa) and Vermillion-Echo Cliffs Escarpment (North America) = 90 miles/160 km
Clearly defined Vermillion Cliffs (left) and Echo Cliffs (right) – Source: maps.google.com28. South Downs Chalk Escarpment (Europe) = 68 miles/110 km
29. Onondaga Escarpment (North America) = 62 miles/100km
30. Illawarra Escarpment (Oceania) = 57 miles/92 km
31-32. Lincoln/Trent Cliff (Europe) and Mescalero Ridge (North America) = 50 miles/80 km
33. Chiltern Escarpment (Europe) = 45 miles/72 km
34. Côte d’Or (Europe) = 30 miles/48 km
35. Catskills Escarpment (North America) = 24 miles/38 km
36. Palisades Escarpment (North America) = 20 miles/34 km
37. Wenlock Edge (Europe) = 19 miles/31 km
38. Chinese Wall Escarpment (North America) = 12 miles/19 km
Chinese Wall Escarpment in Montana – Source: pinterest.com39-40. Duluth Escarpment (North America) and Black Mountain Escarpment (Europe) = 11 miles/18 km
Portions of the Niagara and Onondaga Escarpments in New York – Source: falzguy.comOther Escarpments – More Information Needed
- Cody Scarp (North America)
- Elgeyo Escarpement (Africa)
- Eardley Escarpment (North America) = 40+ km
- Kaimai Escarpment (Oceania)
- Muldraugh Hill Escarpment (North America)
- Pottsville/Cumberland Escarpment (North America)
- Sharon Escarpment (Asia)
- Gotland–Saaremaa Klint (Europe) = 180+ km
- Wulian Feng (Asia)
SOURCES:
- https://en.wikipedia.org/wiki/Escarpment
- https://www.britannica.com/place/Niagara-Escarpment
- https://www.britannica.com/place/Serra-do-Mar
- https://www.dmr.nd.gov/ndgs/ndnotes/pembina/Pembina.htm
- personal knowledge
- https://www.manitoba.ca/iem/geo/mgstracker/images/region6/2010_fieldtrip.pdf
- https://www.greatnortherncatskills.com/how-thru-hike-escarpment-trail
- https://en-academic.com/dic.nsf/enwiki/4787527
- https://falzguy.com/escarp-niag-onon.html#:~:text=The%20Onondaga%20Escarpment%20begins%20at,600%20feet%20above%20sea%20level.
- https://www.geneseo.edu/sites/default/files/2023-08/Brett%20and%20Brett%20SDS%202023%20Part%201%20-%20Niagara%20Frontier.pdf
- https://oldleacounty.com/2021/07/13/mescalero-ridge/
- https://www.sciencedirect.com/science/article/pii/S0040195101002128
- https://en.wikipedia.org/wiki/Tuwaiq
- https://www.researchgate.net/profile/Nigel-Barker-2/publication/234834352_The_Great_Escarpment_of_Southern_Africa_A_New_Frontier_for_Biodiversity_Exploration/links/0fcfd510128f337795000000/The-Great-Escarpment-of-Southern-Africa-A-New-Frontier-for-Biodiversity-Exploration.pdf
- https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2022JF007001#:~:text=Eastern%20Madagascar%20is%20characterized%20by,et%20al.%2C%202021).
- https://en.wikipedia.org/wiki/Bunda_Cliffs
- https://kentdowns.org.uk/north-downs-way/#:~:text=Passing%20through%20153%20miles%20of,life%2Dchanging%20long%20distance%20walk.
- https://www.blackmountainswalking.co.uk/the-black-mountains-magic
- https://thevinofiles.typepad.com/the_vino_files/2008/09/burgundy-2.html#:~:text=For%20all%20its%20notoriety%2C%20the,past%20Santenay%20in%20the%20south.
- https://www.looduskalender.ee/klint/eng/5.html
- https://www.neilyworld.com/neilyworld/eegpnw.htm
- https://www.swimdrinkfish.ca/lake-ontario-waterkeeper/blog/19870
- https://en.wikipedia.org/wiki/The_Palisades_(Hudson_River)
- https://suwa.org/multimedia/map/book-cliffsdesolation-canyon-region/#:~:text=Winding%20for%20250%20miles%20across,continuous%20escarpment%20in%20the%20world.
- https://en.wikipedia.org/wiki/Roan_Cliffs#:~:text=Stretching%20nearly%20190%20miles%20(310,the%20Carbon%E2%80%91Duchesne%20county%20line.
- https://duluthmn.gov/media/7719/skyline_map.pdf
- https://www.lakesuperiorstreams.org/understanding/geology.html
- https://falzguy.com/escarp-niag-onon.html
- https://howardfalls.org/2023/08/24/the-portage-escarpment/
- https://janelcurry.com/blog1/understanding-western-new-york
- https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=3134&context=geosci_geo_peteng_facwork
https://panethos.wordpress.com/2024/01/11/natures-sheer-cliffs-the-worlds-longest-escarpments/
#bluffs #cliffs #ecology #ecosystems #environment #escarpments #geology #hiking #history #landUse #mountains #planning #rims #topology #travel
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The following list identifies the longest escarpments on the planet. Escarpments are defined as follows:
Escarpment: “A steep slope or long cliff that results from erosion or faulting and separates two relatively level areas of differing elevations.”
Source: The American Heritage® Dictionary of the English Language, 5th Edition
If you have ever driven along the Ohio Turnpike near Cleveland, you have gone up/down the Portage Escarpment. Similarly, between Toronto and London Ontario, one would have to cross the Niagara Escarpment. In fact, Niagara Falls, on the New York/Ontario border, are literally a part of the Niagara Escarpment. The falls are where the elevation drops dramatically between Lake Erie (571 feet above sea level) on the upper side and Lake Ontario (243 feet above sea level) on the lower side of the escarpment. The Welland Canal was specifically built to bypass the falls and cross the escarpment.
Niagara Falls on the Niagara Escarpment -Source: driftwoodjournals.comSimilar examples of lengthy escarpments can be found worldwide on every continent including Antarctica. And the steepness/sheerness of them can vary too, as the Cody Scarp in northern Florida is comparatively quite mild. However, most escarpments are quite bold, rapidly rising to elevations well above the surrounding terrain. The sharp change can often be measured in hundreds or thousands of feet.
In several cases, hiking trails or scenic byways have been developed along or near the rim of these magnificent natural features, providing amazing visiting fr those trekking them. Blue Ridge Parkway, Mogollon Rim Road and Skyline Drive are examples of scenic byways while the Knobstone Trail in Indiana and the developing Mogollon Rim Trail in Arizona are hiking routes.
Knobstone Hiking Trail in Indiana – Source: Indianaoutfitters.comFor proposes of this post a minimum length of 10 miles was required and escarpments which are primarily situated underwater (ocean/sea/lake, etc.) are not included. Those shown in italics the author has seen or traveled across. Peace!
- Great Escarpment of Southern Africa = 3,107 miles/5,000 km
Africa – Source: alexnail.com2. Great Escarpment (Oceania) = 2,200 miles/3,600 km
Great Australian Escarpment (red) – Source: researchgate.net3. Grande Escarpa do Brasil (South America) = 1,600 miles/2,600 km
Source: sarthaks.com4. Niagara Escarpment (North America) = 1,000 miles/1609 km
Niagara Escarpment – Source: Waterloo.ca5. Atlantic Seaboard Fall Line (North America) = 900 miles/1,400 km
Fall Line (thicker red line) – Source: alchetron,com6. Portage Escarpment (North America) ~ 653 miles/1051 km
Portage Escarpment – Source: kids.kiddle.co7-8. Darling Scarp (Oceania) and Madagascar East Coast Escarpment (Africa) = 620 miles/1,000 km
9. Blue Ridge Escarpment (North America) = 550 miles/885 km
10. Tuwaiq Escarpment (Asia) = 500 miles/800 km
11. Zambezi Escarpment (Africa) = 497 miles/800 km
12. Manitoba/Pembina Escarpment (North America) = 419 miles/675 km
13-14. Sierra Escarpment (North America) = 400 miles/644 km Balcones Escarpment (North America) ~ 400 miles/644 km
Balcones and Caprock Escarpments in Texas – Source: weather.gov15. Book Cliffs Escarpment (North America) = 250 miles/402 km *longest continuous escarpment in the world
16-17. Caprock Escarpment (North America) and Mogollon Rim (North America) = 200 miles/320 km
Source: i0wp.com18. Usas Escarpment (Antarctica) = 199 miles/320 km
19. Roan Cliffs Escarpment (North America) = 190 miles/306 km – separate escarpment atop the Book Cliffs Escarpment
20. Allegheny Front (North America) = 180 miles/290 km
21. Western Andean Escarpment (South America) = 155 miles/250 km
22. North Downs Chalk Escarpment = 153 miles/246 km
23. Knobstone Escarpment (North America) = 150 miles/241 km
24. Nullarbor Scarp (Oceania) = 130 miles/210 km
25. Missouri Escarpment (North America) = 100 miles/161 km
26-27. Bandiagara Escarpment (Africa) and Vermillion-Echo Cliffs Escarpment (North America) = 90 miles/160 km
Clearly defined Vermillion Cliffs (left) and Echo Cliffs (right) – Source: maps.google.com28. South Downs Chalk Escarpment (Europe) = 68 miles/110 km
29. Onondaga Escarpment (North America) = 62 miles/100km
30. Illawarra Escarpment (Oceania) = 57 miles/92 km
31-32. Lincoln/Trent Cliff (Europe) and Mescalero Ridge (North America) = 50 miles/80 km
33. Chiltern Escarpment (Europe) = 45 miles/72 km
34. Côte d’Or (Europe) = 30 miles/48 km
35. Catskills Escarpment (North America) = 24 miles/38 km
36. Palisades Escarpment (North America) = 20 miles/34 km
37. Wenlock Edge (Europe) = 19 miles/31 km
38. Chinese Wall Escarpment (North America) = 12 miles/19 km
Chinese Wall Escarpment in Montana – Source: pinterest.com39-40. Duluth Escarpment (North America) and Black Mountain Escarpment (Europe) = 11 miles/18 km
Portions of the Niagara and Onondaga Escarpments in New York – Source: falzguy.comOther Escarpments – More Information Needed
- Cody Scarp (North America)
- Elgeyo Escarpement (Africa)
- Eardley Escarpment (North America) = 40+ km
- Kaimai Escarpment (Oceania)
- Muldraugh Hill Escarpment (North America)
- Pottsville/Cumberland Escarpment (North America)
- Sharon Escarpment (Asia)
- Gotland–Saaremaa Klint (Europe) = 180+ km
- Wulian Feng (Asia)
SOURCES:
- https://en.wikipedia.org/wiki/Escarpment
- https://www.britannica.com/place/Niagara-Escarpment
- https://www.britannica.com/place/Serra-do-Mar
- https://www.dmr.nd.gov/ndgs/ndnotes/pembina/Pembina.htm
- personal knowledge
- https://www.manitoba.ca/iem/geo/mgstracker/images/region6/2010_fieldtrip.pdf
- https://www.greatnortherncatskills.com/how-thru-hike-escarpment-trail
- https://en-academic.com/dic.nsf/enwiki/4787527
- https://falzguy.com/escarp-niag-onon.html#:~:text=The%20Onondaga%20Escarpment%20begins%20at,600%20feet%20above%20sea%20level.
- https://www.geneseo.edu/sites/default/files/2023-08/Brett%20and%20Brett%20SDS%202023%20Part%201%20-%20Niagara%20Frontier.pdf
- https://oldleacounty.com/2021/07/13/mescalero-ridge/
- https://www.sciencedirect.com/science/article/pii/S0040195101002128
- https://en.wikipedia.org/wiki/Tuwaiq
- https://www.researchgate.net/profile/Nigel-Barker-2/publication/234834352_The_Great_Escarpment_of_Southern_Africa_A_New_Frontier_for_Biodiversity_Exploration/links/0fcfd510128f337795000000/The-Great-Escarpment-of-Southern-Africa-A-New-Frontier-for-Biodiversity-Exploration.pdf
- https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2022JF007001#:~:text=Eastern%20Madagascar%20is%20characterized%20by,et%20al.%2C%202021).
- https://en.wikipedia.org/wiki/Bunda_Cliffs
- https://kentdowns.org.uk/north-downs-way/#:~:text=Passing%20through%20153%20miles%20of,life%2Dchanging%20long%20distance%20walk.
- https://www.blackmountainswalking.co.uk/the-black-mountains-magic
- https://thevinofiles.typepad.com/the_vino_files/2008/09/burgundy-2.html#:~:text=For%20all%20its%20notoriety%2C%20the,past%20Santenay%20in%20the%20south.
- https://www.looduskalender.ee/klint/eng/5.html
- https://www.neilyworld.com/neilyworld/eegpnw.htm
- https://www.swimdrinkfish.ca/lake-ontario-waterkeeper/blog/19870
- https://en.wikipedia.org/wiki/The_Palisades_(Hudson_River)
- https://suwa.org/multimedia/map/book-cliffsdesolation-canyon-region/#:~:text=Winding%20for%20250%20miles%20across,continuous%20escarpment%20in%20the%20world.
- https://en.wikipedia.org/wiki/Roan_Cliffs#:~:text=Stretching%20nearly%20190%20miles%20(310,the%20Carbon%E2%80%91Duchesne%20county%20line.
- https://duluthmn.gov/media/7719/skyline_map.pdf
- https://www.lakesuperiorstreams.org/understanding/geology.html
- https://falzguy.com/escarp-niag-onon.html
- https://howardfalls.org/2023/08/24/the-portage-escarpment/
- https://janelcurry.com/blog1/understanding-western-new-york
- https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=3134&context=geosci_geo_peteng_facwork
https://panethos.wordpress.com/2024/01/11/natures-sheer-cliffs-the-worlds-longest-escarpments/
#bluffs #cliffs #ecology #ecosystems #environment #escarpments #geology #hiking #history #landUse #mountains #planning #rims #topology #travel
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The name for the algebraic structure consisting of a set \(A\) equipped with a binary operation \(f\colon A^2\to A\) which is not assumed to be commutative, associative, etc. has an interesting history. As far as I can tell, this sort of algebra was originally known as a "groupoid", and you can find recent literature using the term in that way. However, Nicolas Bourbaki called a set with a single binary operation a "magma" in his Éléments de mathématique and this name came to be used when there might be confusion with the newer topological use of "groupoid" to mean a category whose morphisms are all invertible. A third contender is "binar". I don't know the history of this one but it seems reasonable to me.
I prefer "magma" myself. I don't know what a "lava" or a "volcano" should be nor have I had the audacity to try to name something like this in the literature. One reason I prefer "magma" is that I can talk about a set \(A\) equipped with a single \(n\)-ary operation \(f\colon A^n\to A\) as an "\(n\)-ary magma" (or just "\(n\)-magma" or even "magma").
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Collab with my brother @robstacle (Instagram)
Check out his free Transcode font we used: http://www.robinsinnaeve.com/fonts
#binarybros #b3d #cyclesrender #twopointeight #beta #digital #art #pattern #3D #CG #polytrash #decimation #geo #geometric #topology #randomesh #vj #loop #perfectloop #particles #particlesryan #broken #glitch #data #wire #wireframe #structure
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bisect_03 (Even More RandoMesh)
#b3d #cyclesrender #twopointeight #beta #randomesh #python #script #character #digital #art #3D #CG #man #polytrash #decimation #geo #geometric #topology #tri #triangle #broken #twotone #glitch #data