Lmst

Mathsy fedi, I have a question!

I have an arbitrarily sized cube of 3D space, and want to find the furthest possible distance an arbitrary number of points can be apart in it (and then average that and weight it by weights attached to the points and stuff but I can do all that hit).

This is presumably a very solved problem for low numbers (and I don't need more than low numbers), is there an easy enough formula or table I can use?

Boosts appreciated!

#Maths #Geometry #Vectors #Academia #Math

A little something on @codepen: pure #CSS icosphere of spheres https://codepen.io/thebabydino/pen/poYRGmV

Very little code and I should be able to make the algorithm even more efficient. Pure CSS shading too.

#CodePenChallenge #CodePen #3D #code #geometry #maths #mathematics #coding #recursion #cssGradient #frontend #web #dev #webDev #webDevelopment #transform #css3D #cssTransform #cssVariables

Theorem of the Day (June 18, 2025) : The Three-Distance Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/NumberTheory/ThreeDistance/TotDThreeDistance.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#78

#mathematics #maths #math #theorem @Theoremoftheday

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem.

The Three-Distance Theorem : Let α ∈ (0, 1) be irrational and let N be a positive integer. Then the set of lengths {kα | 0 ≤ k ≤ N}, measured around the unit-circumference circle, partitions the circle into N + 1 intervals, whose lengths take just two values, or three values of which one is the sum of the other two.

Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com/
A little more work on axis sizing and controls.

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #graph #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #academia #research

4: The palindromes in base 10 (A002113) ➡️ https://decompwlj.com/3DgraphGen/Palindromes.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #graph #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #academia #research

3: The triangular numbers (A000217) ➡️ https://decompwlj.com/3DgraphGen/Triangular_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #graph #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #academia #research

2: The prime numbers (A000040) ➡️ https://decompwlj.com/3DgraphGen/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #graph #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #academia #research

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
🧵⬇️

1: The natural numbers (A000027) ➡️ https://decompwlj.com/3DgraphGen/Natural_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #graph #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #academia #research

Les sujets de maths du bac 2025 :
Sources :
- Le Figaro étudiant : https://etudiant.lefigaro.fr/article/bac/decouvrez-les-sujets-de-mathematiques-du-bac-2025-20250617/
- digiSchool : https://www.digischool.fr/articles/lycee/bac/bac-maths-2025-sujets-corriges/
#mathématiques #maths #math #bac #bac2025

Double Maths First Thing: Issue 29
Source : The Aperiodical / Colin Beveridge

https://aperiodical.com/2025/06/double-maths-first-thing-issue-29/
#mathematics #maths #math @aperiodical

Here's the question for June 18th from the AMS Daily Epsilon of Math Calendar
@DailyEpsilon

#mathstodon #math #maths #mathematics #MathsToday

@MidniteMikeWrites

I have a feeling that the study of systems composed of feedback loops (all of creation, I dare say!) will be of interest to you.

I understand it is called "cybernetics".

Please find attached an amusing 1949 Letter from the US Library of Congress to Norbert Weiner, asking him in which section his book "Cybernetics" is supposed to be.

#math #maths #mathematics #library #librarian #DeweyDecimal #physics #economics #biology #astronomy #science #computing #computation

1949 Letter from the US Library of Congress to Norbert Weiner, asking him which section Cybernetics is supposed to be in.

Some folks asked me about making sound from the logistic map, so I came up with this first draft. https://soundcloud.com/matthew-m-conroy/first-draft-sound-from-logistics-map-bifurcation-diagram

#sound #audio #chaos #mathematics #math #maths #bifurcation #logisticMap

"Les mathématiciens créent par des actes de perspicacité et d'intuition. La logique sanctionne alors les conquêtes de l'intuition. C'est l'hygiène que pratique la mathématique pour garder ses idées saines et fortes." – Morris Kline (1908-1992)
#citation #mathématiques #maths #math

Citation de Morris Kline : "Les mathématiciens créent par des actes de perspicacité et d'intuition. La logique sanctionne alors les conquêtes de l'intuition. C'est l'hygiène que pratique la mathématique pour garder ses idées saines et fortes."

"Mathematicians create by acts of insight and intuition. Logic then sanctions the conquests of intuition. It is the hygiene that mathematics practices to keep its ideas healthy and strong." – Morris Kline (1908-1992)
#quote #mathematics #math #maths

Quote from Morris Kline : "Mathematicians create by acts of insight and intuition. Logic then sanctions the conquests of intuition. It is the hygiene that mathematics practices to keep its ideas healthy and strong."

Theorem of the Day (June 17, 2025) : Praeger’s Theorem on Bounded Movement
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/GroupTheory/Movement/TotDMovement.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#135

#mathematics #maths #math #theorem @Theoremoftheday

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem.

Praeger’s Theorem on Bounded Movement : Let G be a permutation group acting without fixed points on a set Ω. Denote by m the maximum size of any subset Γ ⊆ Ω whose image under some group element is disjoint from Γ; and suppose that m is finite. Then Ω is a finite set; the number t of G orbits is at most 2m − 1; each orbit has length at most 3m; and |Ω| ≤ 3m + t − 1 ≤ 5m − 2.

Source : Youtube / Steve Brunton

https://www.youtube.com/watch?v=8rnzHE2UtoM
#mathematics #math #maths #Youtube

Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com
A little more work on axis sizing and controls.

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #graph #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #academia #research