πολύχωρος 3D
¡¡the world’s most sophisticated polykhoros 3D viewer!!
explore 3D tessellations in elliptic/parabolic/hyperbolic space
select any tetrahedral symmetry group, based on 6 tetrahedral edges
set polyhedral edge lengths, using barycentric tetrahedral co·ordinates
select stereographic/gnomonic/orthogonal 4D▻3D projection
translate/rotate in 3D (with changing depth setting)
choose your favorite colors & elements (vertices, edges, faces)
¡¡draw pretty pictures!!
open/save/print your favorite configurations
for menu options, move the necklace string & beads
for high school & college math teachers:
instead of lecturing on tessellations & symmetry groups
let students play with this app for active learning seminar
for k-12 math teachers:
even young kids can (intuitively) understand symmetry groups
elizabeth r chen, PhD
mathe·magician