Of the thirty faces of this polyhedron, only the yellow parallelograms are not pentagons. I used Stella 4d to make this; you may try it for free at http://www.software3d.com/Stella.php.
Triacontahedron with Two Dozen Pentagonal Faces
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Tag Archives: pentagon
Five
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Three Polyhedra with Only Pentagonal Faces
The polyhedron above has 72 pentagonal faces of two types. The next one below has three different types of pentagon for its 132 faces. After that is a polyhedron with sixty faces, all of which are non-convex pentagons.
All three of these all-pentagon polyhedra were created using Stella 4d: Polyhedron Navigator. This program is available here.
A Radial Tessellation, on the Topic of the Difficulty in Tessellating with Regular Pentagons
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A Pyritohedral and Pentagon-Faced Polyhedron
Twelve of the faces of this polyhedron are pink, and the other twenty-four are blue. It has no faces which are not pentagons. I made it using Stella 4d: Polyhedron Navigator, which is avialable at http://www.software3d.com/Stella.php.
A Spectrum of Pentagons, Backed By Black & White
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A Polyhedron with 36 Pentagonal Faces
This polyhedron was created using Stella 4d, software which can be found here. It has pyritohedral symmetry.
Tessellation Featuring Regular Pentagons and Regular Pentadecagons
Other polygons included in this tessellation include several types of rhombi, as well as triconcave octadecagons. The pattern is chiral, but the chirality is subtle. (Hint: look near the pentagons.)
A Chiral Polyhedron with 120 Pentagonal Faces, Together with Its Dual
In this chiral polyhedron, sixty faces are the small, purple pentagons, while the other sixty are the larger, orange pentagons. The next image shows its dual.
Both images were created with Stella 4d, a program you can buy, or try for free, at this website: http://www.software3d.com/Stella.php.
Two Versions of a 72-Pentagon Polyhedron
Here’s the first one:
To make the next one, I rendered the twelve regular pentagons invisible, and put the remaining sixty faces in “rainbow color mode,” using Stella 4d, software you can try at this website.
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