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  • Chiral polyhedra in the 3-sphere


Following, are some of the codes and images used for the paper:

 Javier Bracho, Isabel Hubard and Daniel Pellicer.
Chiral polyhedra in 3-dimensional geometries and from a Petrie-Coxeter construction.
Discrete & Computational Geometry (To appear)

As proved there: to a spherical 4-polytope and its dual, there corresponds a continuous family of chiral polyhedra with helicoidal faces --obtained as the Half 2-hole of its Petrie-Coxeter polyhedron and denoted H2H_. For each case, we present:
-the Mathematica code
-the file containing the Group of matrices with their corresponding words
-and some images obtained from the Mathematica program.
H2H{3,3,3}
code group
H2H{3,4,3}
code group
H2H{4,3,3}
code group
H2H{5,3,3}
code group
H2H{3,5,5/2}
code group
H2H{5,5/2,5}
code group
H2H{5,3,5/2}
code group
H2H{3,3,5/2}
code group
H2H{3,5/2,5}
code group
H2H{5/2,5,5/2}
code group
(February, 2021; Page done with support from PAPIIT-UNAM project IN109218)
This work is licensed under a Creative Commons Attribution 4.0 International License. Creative Commons License