A Large Collection of Polyhedra with Pyritohedral Symmetry, Some of Them Chiral

pyritohedral polyhedron featuring octagons

pyritohedral polyhedron featuring heptagons

14 hexagons of two types 12 heptagons 24 pentagons 50 faces in all and pyritohedral

hourglasses

hexagons and pyritohedral rectangles

Dual of Convex hull

idea pyrito

interesting pyritohedral convex hull from 8Apr15 blog post

kites and paired irregular pentagons pyritohedral

pyrito and interesting

Pyrito Compound of enantiomorphic pair

jsfasdkf

pyritic Convex hull

pyrito Dual of Convex hull

pyrito RCO

pyrito stellation of great Dodeca 2 actuaaly these are tetstells

pyrito stellation of great Dodeca

pyrito

pyritohedral and chiral 3

pyritohedral and chiral

idea stellated

pyritohedral Convex hull

pyritohedral double snub cube

pyritohedral dual

Pyritohedral Icosahedral with added octagons

pyritohedral triangles and heptagons again

pyritohedral triangles and heptagons

pyritol

pyritoonvex hull

pyritowrinkles by no of sides

Unmessnamed Dual

Faceted Dual pyritohedral and chiral

Final Stellation of Compound of Icosidodeca and Trunc Cube also pyritohedral

chiral Dual of Convex hull

Unnamed Dual

It’s quite an informal way to define it, but pyritohedral symmetry is the symmetry-type of a standard volleyball. These images of pyritohedral polyhedra were made using Stella 4d, software available at http://software3d.com/Stella.php.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. The majority of these things are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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