One day, one decomposition
A117223: Numbers n such that Phi(n,x) is a flat cyclotomic polynomial of order three

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117223.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #Phi #cyclotomic #polynomial #order #graph #threejs #webGL

Decomposition into weight × level + jump of A117223 in 3D - three.js webGL - Rémi Eismann

Decomposition into weight × level + jump of A117223 in 3D. Made with three.js webGL. Rémi Eismann

Cyclomatic

#mathart #mathober #mathober2023 #mathober21 #cyclotomic

https://youtu.be/_pAyswBjd1s

Blogpost: https://blog.illestpreacha.com/mathober2023cyclotomic

Visuals coded in #tixyland
Sound Coded in #sonicpi @sonic_pi
Tweaked for Visuals

For the 21st Prompt Of Mathober:Cyclotomic.Cyclotomic polynomials will be coded via Tixyland & SonicPi. The name of the piece will be Cyclomatic

Cyclo-Process

The equation will contain the following Cyclotomic Polynomials : cos(t*(x^4+1))/sin((x-1)* i *(x^4-x^2+1)).

Aided with the addition of cos/sin functions and the i & t variables and overlaid TixyLand sketches

Poem

Motions are cycling
Wilding
Moving fast
Moving past
The motions that open
As if they are words that have to be spoken

#creativecoding #coding
#newmedia #scifi #animation
#math #geometricart #geometry #cycles

Mathober2023 Cyclotomic: Cyclomatic

YouTube
for abelian extensions L of Q : an abelian extension of rationals lying in one #cyclotomic field f also lies in infinitely many other f, and for each such f overfield one obtains by Galois g theory a subgroup of g group corresponding to the same field L.
This not just my imagination, I wish, see #cyclotomic polynomial