Idea for a wobbly nobbly #Xmaths star :
6⭐around an icosidodecahedron core.
#MathGIF with #geogebra
https://geogebra.org/m/yzuks5vy
Icosidodecahedron ⭐⭐⭐⭐⭐⭐

Icosidodecahedron ⭐⭐⭐⭐⭐⭐

GeoGebra

@panlepan - icosidodecahedrons for Christmas, great!

Do know Coxeter's work on the 59 stellations of the icosahedron, or something like that? I think Wikipedia discusses it.

@johncarlosbaez Oh! I might have heard of it. It's here on Wiki:
https://en.wikipedia.org/wiki/The_Fifty-Nine_Icosahedra
My favorite is the compound of 5 tetrahedra, and I see you can interlock them :
The Fifty-Nine Icosahedra - Wikipedia

@panlepan - that's very pretty! Rotating this shape lets you achieve any *even* permutation of the 5 tetrahedra... or so they say... and this gives a proof that the rotational symmetry group of an icosahedron or dodecahedron is the group A₅, consisting of all even permutations of 5 things!

@panlepan

❝Thus, what looks to us like a sphere of scientific knowledge more accurately should be represented as the inside of a highly irregular and spiky object, like a pincushion or porcupine, with very sharp extensions in certain directions, and virtually no knowledge in immediately adjacent areas. If our intellectual gaze could shift slightly, it would alter each quill’s direction, and suddenly our entire reality would change.❞

— Herbert J. Bernstein • “Idols of Modern Science”