#mathober2025 — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathober2025, aggregated by home.social.
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Mathober in this weeks CodePen Spark! It was a really fun month of math doodles.
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Mathober in this weeks CodePen Spark! It was a really fun month of math doodles.
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#Mathober code is complete!
On codepen: https://codepen.io/collection/yyapOP
On OpenProcessing: https://openprocessing.org/curation/90042
Thank you Everyone that participated - It was so inspiring to see all of the are, posts, humor and creations.
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#Mathober code is complete!
On codepen: https://codepen.io/collection/yyapOP
On OpenProcessing: https://openprocessing.org/curation/90042
Thank you Everyone that participated - It was so inspiring to see all of the are, posts, humor and creations.
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As a several-days-late contribution for the #Mathober Day 25 prompt ‘Wedge’, I would like to point out a little historical curiosity involving ‘wedge’.
Attached is a detail from an Old Babylonian clay tablet of geometrical problems and a reconstruction of the diagram.
The cuneiform text reads: ‘The square-side is 1 cable. ⟨Inside it⟩ I drew 12 wedges and 4 squares. What are their areas?’ (trans. Robson, ‘Mesopotamian mathematics’, p.95)
The term ‘wedge’ translates the Akkadian ‘santakkum’, which names any figure with three (possibly non-straight) sides. (1 ‘cable’ = approximately 360 metres)
The exact symmetry of the configuration is vital to the problem. Without symmetry, which is suggested by the (necessarily approximate) diagram, but which is not made explicit in the question, the ‘wedges’ could be (e.g.) non-isosceles triangles of different sizes, and the problem would be insoluble.
The problems on the tablet [https://www.britishmuseum.org/collection/object/W_1905-0515-1] comprise various geometric configurations in which symmetry is implicitly required for the solution.
#HistMath #HistSci #geometry #symmetry #Mathober2025
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As a several-days-late contribution for the #Mathober Day 25 prompt ‘Wedge’, I would like to point out a little historical curiosity involving ‘wedge’.
Attached is a detail from an Old Babylonian clay tablet of geometrical problems and a reconstruction of the diagram.
The cuneiform text reads: ‘The square-side is 1 cable. ⟨Inside it⟩ I drew 12 wedges and 4 squares. What are their areas?’ (trans. Robson, ‘Mesopotamian mathematics’, p.95)
The term ‘wedge’ translates the Akkadian ‘santakkum’, which names any figure with three (possibly non-straight) sides. (1 ‘cable’ = approximately 360 metres)
The exact symmetry of the configuration is vital to the problem. Without symmetry, which is suggested by the (necessarily approximate) diagram, but which is not made explicit in the question, the ‘wedges’ could be (e.g.) non-isosceles triangles of different sizes, and the problem would be insoluble.
The problems on the tablet [https://www.britishmuseum.org/collection/object/W_1905-0515-1] comprise various geometric configurations in which symmetry is implicitly required for the solution.
#HistMath #HistSci #geometry #symmetry #Mathober2025
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https://codepen.io/fractalkitty/pen/ZYQjbqJ
Today's #mathober - a metabidiminished icosahedron
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https://codepen.io/fractalkitty/pen/ZYQjbqJ
Today's #mathober - a metabidiminished icosahedron
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Today's and yesterdays #mathober
Wedge:
https://codepen.io/fractalkitty/pen/azdKYOL
Amalgamation:
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Today's and yesterdays #mathober
Wedge:
https://codepen.io/fractalkitty/pen/azdKYOL
Amalgamation:
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Hope I did this right.
Here is the Jacobian for #mathober today:
https://codepen.io/fractalkitty/pen/bNEMBGO?editors=0110
Thanks @dpoulsen for the links and inspiration!
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Hope I did this right.
Here is the Jacobian for #mathober today:
https://codepen.io/fractalkitty/pen/bNEMBGO?editors=0110
Thanks @dpoulsen for the links and inspiration!
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I think I love Odious Numbers.
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Today's #mathober
https://codepen.io/fractalkitty/pen/NPxyvZK?editors=0110
I was going to do more with the planes, but decided after a long run and a good day I needed to hug my banjo instead.
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The prompt for day 5 was 'Digraph Sink'. In mathematics 'digraph' is an abbreviation for 'directed graph' which is a kind of network made by joining nodes with arrows. A 'digraph sink' is any node which has no arrows that point out of it. If you walk around a digraph by following the arrows then the sinks are the places where you can get stuck.
In linguistics a 'digraph' is instead a pair of letters that make a different sound when written together than you would expect from their individual sounds. Let's draw a digraph digraph where the nodes are the letters of the alphabet, and the arrows represent which pairs of letters form digraphs.
The sinks in this digraph are B, D, F, H, J, K, L, M, V, X, Y and Z.
#Math #Maths #Mathematics #GraphTheory #Linguistics #Orthography #EnglishOrthography
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The prompt for day 5 was 'Digraph Sink'. In mathematics 'digraph' is an abbreviation for 'directed graph' which is a kind of network made by joining nodes with arrows. A 'digraph sink' is any node which has no arrows that point out of it. If you walk around a digraph by following the arrows then the sinks are the places where you can get stuck.
In linguistics a 'digraph' is instead a pair of letters that make a different sound when written together than you would expect from their individual sounds. Let's draw a digraph digraph where the nodes are the letters of the alphabet, and the arrows represent which pairs of letters form digraphs.
The sinks in this digraph are B, D, F, H, J, K, L, M, V, X, Y and Z.
#Math #Maths #Mathematics #GraphTheory #Linguistics #Orthography #EnglishOrthography
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A little Octagonal & Heptagonal walk
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A little Octagonal & Heptagonal walk
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Today's Mathober - partial sum.
I also did a p5 sketch: https://codepen.io/fractalkitty/pen/ByjWppj?editors=0110
#mathober #mathober2025 #creativeCoding #birdart #mathart #mtbos #cantor #partialsums
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Today's Mathober - partial sum.
I also did a p5 sketch: https://codepen.io/fractalkitty/pen/ByjWppj?editors=0110
#mathober #mathober2025 #creativeCoding #birdart #mathart #mtbos #cantor #partialsums
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Polyhedron - #mathober day 3
#polyhedron #mathober2025 #mtbos #mathart #pnw #birds #birdart
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Polyhedron - #mathober day 3
#polyhedron #mathober2025 #mtbos #mathart #pnw #birds #birdart
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The #Mathober day 3 prompt is ‘#Polyhedron’. I have no art to offer, but I thought I would use the occasion to draw attention to a lesser-known role of polyhedra in Johannes Kepler's (1571–1630) thought.
Start with the famous part: Kepler argued that the five regular (or Platonic) solids fitted between the orbs of the then-known six planets [https://commons.wikimedia.org/wiki/File:Kepler-solar-system-1.png].
When Galileo discovered four moons of Jupiter, Kepler sought a similar polyhedral structure for the Jovian system, and suggested that ‘semiregular’ solids provided the key. ‘Semiregular’ for Kepler meant that the polyhedra had rhombic faces and satisfied certain technical criteria. (The concept differs from today's notion of semiregular polyhedra.)
There were exactly three such ‘semiregular’ polyhedra:
• the cube (the square being a special kind of rhombus).
• the rhombic dodecahedron (12 faces; diagram attached).
• the rhombic triacontahedron (30 faces; diagram attached).
Kepler placed the rhombic dodecahedron between Io and Europa, the rhombic triacontahedron between Europa and Ganymede, and the cube between Ganymede and Callisto.
Kepler thought that there were six planets because God had shaped the cosmos around the five platonic solids. The three ‘semiregular’ solids would similarly explain why there were four moons of Jupiter.
Perhaps someone who is a better artist than I am could draw a diagram of the three rhombic solids and the orbs of the four Galilean moons in the style of Kepler's famous diagram of the Platonic solids between the orbs of the planets.
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The #Mathober day 3 prompt is ‘#Polyhedron’. I have no art to offer, but I thought I would use the occasion to draw attention to a lesser-known role of polyhedra in Johannes Kepler's (1571–1630) thought.
Start with the famous part: Kepler argued that the five regular (or Platonic) solids fitted between the orbs of the then-known six planets [https://commons.wikimedia.org/wiki/File:Kepler-solar-system-1.png].
When Galileo discovered four moons of Jupiter, Kepler sought a similar polyhedral structure for the Jovian system, and suggested that ‘semiregular’ solids provided the key. ‘Semiregular’ for Kepler meant that the polyhedra had rhombic faces and satisfied certain technical criteria. (The concept differs from today's notion of semiregular polyhedra.)
There were exactly three such ‘semiregular’ polyhedra:
• the cube (the square being a special kind of rhombus).
• the rhombic dodecahedron (12 faces; diagram attached).
• the rhombic triacontahedron (30 faces; diagram attached).
Kepler placed the rhombic dodecahedron between Io and Europa, the rhombic triacontahedron between Europa and Ganymede, and the cube between Ganymede and Callisto.
Kepler thought that there were six planets because God had shaped the cosmos around the five platonic solids. The three ‘semiregular’ solids would similarly explain why there were four moons of Jupiter.
Perhaps someone who is a better artist than I am could draw a diagram of the three rhombic solids and the orbs of the four Galilean moons in the style of Kepler's famous diagram of the Platonic solids between the orbs of the planets.