#citation #mathématiques #maths #math
@sam_hartburn That's very pretty! Your mention of triangles and music reminded me of a diagram system I saw a short while ago: https://en.wikipedia.org/wiki/Tonnetz - and TIL by reading the wikipedia article that it was first described by Euler.
There's an interactive webapp: https://girlinbluemusic.com/interactive-tonnetz/
and several YT videos - this one being the one which introduced me to the concept in the first place: https://www.youtube.com/watch?v=NQ7LkWCzKxI
Theorem of the Day (January 27, 2026) : Lamé’s Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/Binomial/Lame/TotDLame.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#87
By now I have a huge pile of scientific papers in #maths and #physics that I thought I should read at some point. So I've decided to start a #dailyPaperChallenge to read at least one of them per day.
Today's paper was "Enumeration and limit laws for series–parallel graphs" from 2007. A series-parallel graph is a graph that can be built from repeatedly inserting multiple parallel edges, and splitting edges with 2-valent vertices. The authors study functional equations for the generating functions of these graphs, and how the number grows for large graphs. This is quite interesting for me since I have done some work on enumerating unlabelled graphs weighted by symmetry factors, whereas they enumerate labelled graphs. https://doi.org/10.1016/j.ejc.2007.04.011
A098058: Prime(n) such that 4 does not divide the difference between prime(n) and prime(n+1)
3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A098058.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A098058.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A098058.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
A097933: Primes p that divide 3^((p-1)/2) - 1
3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A097933.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A097933.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A097933.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
Problem for January 27th from the 2026 AMS Daily Epsilon of Math Calendar