Deltoidal icositetrahedron mapped from the continuous polynomial ((√2-1)(x+y)+z)^60+((√2-1)(-x+y)+z)^60+((√2-1)(x-y)+z)^60+((√2-1)(-x-y)+z)^60+((√2-1)(x+z)+y)^60+ ((√2-1)(-x+z)+y)^60+((√2-1)(x-z)+y)^60+((√2-1)(-x-z)+y)^60+((√2-1)(y+z)+x)^60+((√2-1)(-y+z)+x)^60+ ((√2-1)(y-z)+x)^60+ ((√2-1)(-y-z)+x)^60-1=0. The polyhedron, a ‘Catalan’ solid, has 24 identical kite shaped faces, 26 vertices and 48 edges. #maths #mathematics #math #polyhedrons
@theredcaps Here is a very fast roll of all 7 #polyhedrons perhaps too fast? For you to see how they are self used in a game.

This is a link to a Twitter Moment that I set up 4 years ago about my investigations related to “The Creature” (which itself came into being more than 3 decades ago).

https://twitter.com/i/events/1011825298382426119?s=20

#mathart #mathsart #polyhedra #geometry #geometricart #dodecahedrons #dodecahedron #polyhedrons #pentagons

The Creature

Stuff about my Creature as well some or my other attempts to make dodecahedrons fit together

Twitter

A #cube inside a #dodecahedron

The vertices of the cube touch 8 of the dodecahedron’s vertices, and each of its edges lies on a face of the dodecahedron.

#polyhedra #polyhedrons