#fibonacci — Public Fediverse posts

I recently came across a video about the Fibonacci sequence.

You know: 1 1 2 3 5 8 13 21 34 55 89 144

And I know we shouldn't need it (everyone should use the metric system! 😅).
But the researcher mentioned that this is a great number sequence to use when connecting miles to km in your head.

I've never heard it used that way before, but it's quite practical when having to convert numbers from km to miles or the other way around.

So 55 mph would be roughly 89 km/h

Neat!

#fibonacci

what? … Miles to Kilometre conversion can be approximated by the #Fibonacci sequence?*

<https://youtube.com/shorts/K_QgsJV6wI0> * 1xMi ~ 1.6 km ~ Fib ratio of 1.609

🇮🇷 Tensiones en Irán y la Fed agresiva: el #DXY rebota en la "Golden zone" de #Fibonacci. ¿Es esto una pausa o el inicio de una corrección mayor para el dólar?

Mönchengladbach: Fibonacci Quartet begeistert im Rittersaal

Ein Lächeln zum Gruß und ein Lächeln zum…
#Moenchengladbach #Deutschland #Deutsch #DE #Schlagzeilen #Headlines #Nachrichten #News #Europe #Europa #EU #Mönchengladbach #brillierte #dritten #Ensemble #Ensemblenamen #Fibonacci #Germany #Lerchenquartett #Nordrhein-Westfalen #Quartet #Quartett #Rheydt #Ritt #Rittersaal #Spiel #Spielers #Streichquartett #Streichquartette #virtuosen #Zusammenspiel #Zyklus
https://www.europesays.com/de/974114/

#genuary2026, day 3:
Fibonacci forever. Create a work that uses the Fibonacci sequence in some way.

made with #p5js
#genuary3 #genuary #creativecoding #fibonacci #art

For #genuary3, "Fibonacci Forever", I'm recycling an orbit-trap fractal I shared back on Fibonacci Day (11/23, of course). It uses the typical fractal equation z ↦ zⁿ + z₀, but n increases following the Fibonacci sequence with each iteration.

#genuary #genuary2026 #fibonacci #fractal

The #genuary3 prompt is "Fibonacci Forever".

These images plot successive pairs in the Fibonacci sequence (F_{i}, F_{i+1}) modulo N -- that is, their remainders after division by N. Because mod N there are at most N^2 pairs, each path must close to form a loop, and indeed we can show that the loop comes back to the starting point (0,1).

#Fibonacci #Genuary2026 #Genuary

Fibonacci Rainbow Spirals var.7 is on the blockchain

These collections feature 2nd royalties to all minters, a percentage of all royalties to @GirlsWhoCode and @ProcessingOrg

#generativeart #fibonacci #fxhash #p5js #nft #tezos #xtz #javascript #genart

https://www.fxhash.xyz/generative/25309

Fibonacci Rainbow Spirals var. 5

These collections feature 2nd royalties to all minters, a percentage of all royalties to @GirlsWhoCode and @ProcessingOrg

#generativeart #fibonacci #fxhash #p5js #nft #tezos #xtz #javascript #genart

https://www.fxhash.xyz/generative/24912

for some reason I suddenly remembered the brilliant Vi Hart and her 'cat slugs' from her spiral video (from many years ago). She seems to no longer be online in her previous entertaining math geek persona, looks like she's been consumed by MicroSoft, hope she still has the same sense of wonder as she did back then.

https://www.youtube.com/watch?v=bY1sOzTLrQQ

#cats #spirals #fibonacci

@knowuh

Not a “hot take … more like a “kind take”!

I very rarely respond to “hot takes”.

Here, have a cool flower with 3d counter-rotating spirals where the spiral counts are probably part of a Fibonacci sequence.

Hard to describe well but lots of alt-text in an attempt!

#BloomScrolling #Echinacea #Fibonacci

Leonardo Pisano (c.1170–after 1240), dubbed ‘Fibonacci’, thought that Archimedes' proof that π was between $3\frac{10}{71}$ and $3\frac{1}{7}$ was beautiful [pulcra].

Archimedes' proof proceeds by calculating approximate ratios of the perimeters of 96-gons circumscribed about and inscribed in a circle to the diameter of that circle, implicitly starting with dodecagons and repeatedly bisecting edges to obtain 24-, 48-, and then 96-gons (see attached image).

Fibonacci’s judgement seems to be the earliest extant description of a *proof* as beautiful in the European tradition. [Al-Nasawī (fl. 1029–44) had earlier described a proof as beautiful.]

But there is a twist in the story...

1/3

#MathematicalBeauty #BeautifulProof #HistMath #Fibonacci #Archimedes #Pi

OMG, another #AI thingy bragging about #Fibonacci embeddings! 🤯 If you ever needed proof that #techies can turn anything into a pseudo-mathematical catastrophe, look no further. 😂 GitHub's got yet another "intelligent" thing that nobody asked for! 🥳
https://github.com/henrygabriels/FMLLM/blob/main/README.md #Embeddings #GitHub #Pseudo-Mathematics #Humor #HackerNews #ngated

There’s a Problem With Photographers’ Obsession With The Golden Ratio https://petapixel.com/2025/12/28/theres-a-problem-with-photographers-obsession-with-the-golden-ratio/ #cartier-bresson #goldensection #Educational #composition #goldenratio #fibonacci #Vitruvius #davinci #davinci #art

Chainlink Dip to $16 Could Be the Most Bullish Setup for LINK Price, Expert Says - TLDR:

Chainlink trades near $22 after a 4% daily drop, while analysts see $16 support as... - https://blockonomi.com/chainlink-dip-to-16-could-be-the-most-bullish-setup-for-link-price-expert-says/ #cryptoanalysis #chainlink #fibonacci #linkprice #analysis #trading #crypto

For the @printersolstice #printerSolstice prompt proportion, my print comparing my own hand to the golden ratio/rectangle/spiral. The golden rectangle has sides which are at the golden ratio and the spiral is constructed by making a series of smaller golden rectangles on the smaller side of the previous one.

#mathematics #mathart #sciart #GoldenRatio #GoldenRectangle #GoldenSpiral #Fibonacci #FibonacciSequence

#linocut #printmaking #proportion

I walk down the #Patterned #Garden #Paths
In my stiff, brocaded #Gown.
With my powdered hair and #Jeweled fan,
I, too, am a #Rare #Pattern.
As I #Wander down
the garden paths.

- Amy Lowell, American #Poet of the #Imagist school

Amy posthumously won the #Pulitzer Prize for Poetry in 1926.

#Autumn #Poetry #Gardening #GardenPodcast #Pattern #Patterns #Fibonacci #Paths #GardenPath #Poem #GardenGate #Nature #Passion #SelfCare #Inspiration #Winter #Wintertime #Podcast #Sunday

How strong is #Microsoft's #phi4 mini with only 2.32 G? I asked it about the relation between difference equations and the #Fibonacci #sequence. It gave me several pages of its thought process after spending almost 2 minutes without giving me any output. It was over-thinking, looking for a "solution" to my very general question, not knowing that the Fibonacci sequence was kind of a special case of difference equations. But still it is more knowledgeable than a typical college student. #math #AI

If you don't like this song about the #FibonacciSequence then we can't be friends anymore. Created by the great Milton and Bridget Mermikides #Fibonacci #BossaNova #BossaNovaJazz #Music #MusicVideo #Math #MathNerd #MathNerdsUnite #NumberSequences https://youtu.be/4jDSRi3VTNI

Endlich mal wieder ein langes Video von Tibees. Including: eine lange überfällige Übersetzung eines Weltklassikers, Erklärung des Worts "buttload" und ein Rant über Mathe-Esoterik.

https://www.youtube.com/watch?v=LWJzirlCv8I

#maths #Tibees #Fibonacci #GoldenRatio

Calculating the Fibonacci numbers on GPU

https://veitner.bearblog.dev/calculating-the-fibonacci-numbers-on-gpu/

#HackerNews #Calculating #Fibonacci #GPU #Performance #ParallelComputing #TechInnovation #Algorithms

Soms laat het leven je even stilstaan. Niet omdat je dat wil, maar omdat je lichaam of je hoofd niet meer vooruit kan. Als mantelzorgvader van een dochter met een ernstige beperking ken ik die moeheid. Niet de moeheid van een slechte nacht, maar de vermoeidheid die zich stilletjes tussen je dagen nestelt.

#mantelzorg #veerkracht #oververmoeidheid #herstel #persoonlijkleiderschap #natuurinspiratie #duurzaamritme #Fibonacci #zorgenvoorelkaar #vertraging

https://kanteldenker.wordpress.com/2025/04/17/de-spiraal-van-herstel-wat-de-natuur-ons-leert-over-oververmoeidheid-en-veerkracht/

Physiker haben erstmals Lichtstrahlen erzeugt, die einer logarithmischen Spirale ähneln – die Lichtspirale folgt dem Goldenen Schnitt. #Rotatum #Licht #Physik #Optik #Lichtspirale #Fibonacci
https://www.scinexx.de/news/physik/neuartige-lichtspirale-folgt-den-goldenen-schnitt/

Fibonacci Numbers Programming: https://youtu.be/ZLHEGFCO8Kk

#youtube #youtuber #youtubechannel #youtubevideo #python #apl #befunge #program #programming #code #coding #computer #ComputerScience #noobvspro #creative #creativecoding #fibonacci #math #maths #mathematics #software #indie #scripting #versus #vs #comparision

Building the Spectacular Fibonacci128 Simple Add-On https://hackaday.com/2024/12/16/building-the-spectacular-fibonacci128-simple-add-on/ #SimpleAdd-On #fibonacci #LEDHacks #LEDarray #sao

Building the Spectacular Fibonacci128 Simple Add-On - This year, we not only challenged Supercon attendees to come up with their own Sim... - https://hackaday.com/2024/12/16/building-the-spectacular-fibonacci128-simple-add-on/ #simpleadd-on #fibonacci #ledhacks #ledarray #sao

"Golden Angle"

1000 small squares go from an angular offset of 0 up to the golden angle of 137.508°.
From a line to the perfect distribution in a Fermat spiral based on the Fibonacci series.

This is the speedramp-version.
Watch the full one-hour math meditation / living painting on a big screen at 4k 60fps on YouTube:
https://youtu.be/PmOVaKauq8U

#Tooll3 #realtime #Fermat #Fibonacci #Spiral #meditation #math #creativecoding #HLSL #mathtodon #abstractart #beautyofmath #opensource

@jasoncoon I was tracking down an unrelated (?) mathematical oddity, and I fell into this page. It has some clever interactive Fibonacci spiral graphs; have you seen it?

I especially like the part at the very bottom where you can replace φ with other constants.

#Fibonacci

https://observablehq.com/@meetamit/fibonacci-lattices

An interesting math video: https://www.youtube.com/watch?v=fVVspcjQr5M
The most interesting part for me: the sum of (n'th Fibonacci number times x^n), for all nonnegative integers n, equals x / (1 - x - x^2). For example:
- if x = 0.1: 0.1 / 0.89 = 10/89 = 0.11235...
- if x = 0.01: 0.01 / 0.9899 = 100 / 9899 = 0.01010203050813...

#math #fibonacci

Looking for a snap with a #new theme I came up with this new #fern from #Tasmania in 2023 - probably a lot of #Fibonacci going on here.

#OlumpusEM1iii #olympus12100f4

#photography #naturephotography

@FloraIncognita_DE
Um es noch schwerer zu machen
#lateralus by Tool
#fibonacci
#goldenespirale
#phyllotaxis
👹

Fibonacci numbers are cool

https://nebula.tv/videos/tibees-fibonacci-slop-is-out-of-control

https://www.youtube.com/watch?v=LWJzirlCv8I

#Math #Fibonacci

Good morning!

I combined some hill sprints with the gathering of extra squadratinhos.

And I passed the Fibonacci statue in our town. ☺️

#running #squadrats #squadratslife #fibonacci

@bewitchedmind
I did not know that there were two Ohms. What a double act!

#Fibonacci #electronics #maths

Wow, I learned SO MUCH!
#Fibonacci was actually amazing, but not the way you'd think
https://www.youtube.com/watch?v=LWJzirlCv8I

From when I was learning @processingorg 's p5js from @shiffman during covid. Adjustable in a few ways, try the sliders at the bottom: https://ednl.github.io/rainbowsunflower/ (<--this is the link, click it!)

Source code untouched since Aug 2020: https://github.com/ednl/rainbowsunflower

#p5js #p5xjs #animation #geometry #sunflower #rainbow #generativeart #computerart #spiral #fibonacci #mathematics

Hi all, it seems I discovered a previously unknown relationship between the Collatz conjecture and the (signed) Fibonacci numbers. It is a continuation of prior work by Bernstein and Lagarias. I would be super grateful for any feedback. Thank you! #math #collatzConjecture #fibonacci

https://vincentrolfs.dev/blog/collatz

Complex Fibonacci plots:
https://www.youtube.com/watch?v=ghxQA3vvhsk
#maths #mathematics #Binet #GoldenRatio #GoldenNumber #Fibonacci #Geogebra

@0x10f
You may also enjoy: https://www.youtube.com/watch?v=e7SnRPubg-g
#maths #Fibonacci #Binet #Mathologer

#JacobYatsko - A New Way To Look At #Fibonacci #Numbers

A look at how #PisanoPeriods and the #Modulo #Function can turn the #FibonacciSequence into strange and fun visual designs.

https://www.youtube.com/watch?v=o1eLKODSCqw

#Pisano #Integers #Geometry #Math #Maths #Mathematics

I love Pisano Periods so I played with a draft visualization I'd like to explore more in the future:

https://codepen.io/fractalkitty/pen/abeYVGK

#mathober #mathober2024 #pisano #fibonacci

One day, one decomposition
A250444: Numbers n such that gcd(n!, Fibonacci(n)) is prime

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A250444.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A250444.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A250444.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #gcd #Fibonacci #primes #PrimeNumbers #graph #threejs #webGL

"A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of those sticks can form a triangle? It turns out the answer to this quandary has an unexpected parallel to [the Fibonacci sequence.]"

https://www.scientificamerican.com/article/students-find-hidden-fibonacci-sequence-in-classic-probability-puzzle/

#Mathematics #Probabilities #Puzzles #Fibonacci #Sequence

Yön unessa ratkaisevaa roolia näyttelivät taas #Fibonacci'n luvut — mutta eivät kaikki niistä. Piti laittaa mutkikkaiden sääntöjen mukaan osajoukko, joka olisi toiminut salasanana johonkin arvoitukseen. #unet #mysteeri #arvoitus

Acoustic Engine Harnesses the Power of Sound https://hackaday.com/2025/02/21/acoustic-engine-harnesses-the-power-of-sound/ #TransportationHacks #propulsion #TechHacks #fibonacci #resonance #acoustic #ramjet #sonic

#3iAtlas is broadcasting #fibonacci sequence.

Explains major space agencies (including China) silence.

No credible source so far, hearsay

#space #astronomy #nhe

Here's a very simple sequence (generalized from the Fibonacci sequence) to discourage students from generalizing a pattern too quickly. In fact, the sequence will look like it is the powers of 2 until it stops.

1, 1, 2, 4, 8, 16, ..., 2ᵏ, 2ᵏ⁺¹−1, 2ᵏ⁺²−3, 2ᵏ⁺³−8, ...

By selecting a detail in the sequence's (recursive) formula, I can control what the value of 𝑘 will be. So, technically, this is a family of sequences with the Fibonacci sequence being the one with 𝑘=2.

Reasons this family of sequences is cool:

1. I can control exactly what the value of the last power of 2 is and can make the pattern break after 2, 3, 10, 20, or 100 consecutive powers of 2 showing up.

2. The formula for this sequence is very easy to describe:
Start with a 1 and to find a new term, add up the last 𝑘 terms of the sequence (everything before the starting 1 that can be considered to be 0 if needed). Note that the 𝑘 terms being added up will match with the first 𝑘 powers of two (starting at 2⁰=1) showing up in the sequence before the pattern breaks.

3. If you know the Fibonacci sequence (which is the special case of 𝑘=2), then this family of sequences is a natural generalization to look at. See:
https://en.wikipedia.org/wiki/Generalizations_of_Fibonacci_numbers#Higher_orders

4. If we adjust it to say "sum of all previous terms", we do in fact get the powers of two sequence.
Proof (by induction):
Base case: 1 + 1 = 2
Hypothesis: Assume that upto now, we've added up terms and gotten a power of two, say 2ᵏ.
Inductive step: For the next term, when we add all previous terms, we would add the terms that gave us 2ᵏ and then add the 2ᵏ term itself resulting in the sum of 2ᵏ⁺¹.

#math; #pattern in a #sequence; #PowersOf2; #generalization of #Fibonacci.

#SaintPatrickDay? Non c'entra nulla ☺️. La sequenza di #Fibonacci dietro alla bellezza del Pozzo di San Patrizio https://www.rainews.it/photogallery/2025/03/la-sequenza-di-fibonacci-dietro-alla-bellezza-del-pozzo-san-patrizio-ipotesi-studio-moneta-sezione-aurea-fidia-4bf58870-8f7f-46c3-9db2-5301485fdeee.html #architecture

From when I was learning @processingorg 's p5js from @shiffman during covid. Adjustable in a few ways, try the sliders at the bottom: https://ednl.github.io/rainbowsunflower/ (<--this is the link, click it!)

Source code untouched since Aug 2020: https://github.com/ednl/rainbowsunflower

#p5js #p5xjs #animation #geometry #sunflower #rainbow #generativeart #computerart #spiral #fibonacci #mathematics