“Crinkled” is merely descriptive; I offer no mathematical definition of the term. This was a polyhedron I stumbled along while doing random-walk polyhedral manipulations with Stella 4d, available at this website.
A Crinkled Octahedron
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Tag Archives: polyhedron
The Compound of the Rhombic Dodecahedron and Its Own Third Stellation
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I used Stella 4d to make this polyhedral compound, and this program may be tried for free at this website.
The Dodecahedron, Made from Smaller Polyhedra
The polyhedra at the vertices are rhombic triacontahedra, and the yellow edges are elongated rhombic prisms. This was made using Stella 4d, software you may try for free at this website.
An Icosahedron, Constructed from Smaller Polyhedra
The polyhedra at the vertices are rhombic triacontahedra, and the yellow edges are elongated rhombic prisms. This was made using Stella 4d, software you may try for free at this website.
Three Views of a Rotating Cluster of 33 Icosidodecahedra
To make these three rotating cluster-polyhedra, I started with one icosidodecahedron in the center, then augmented each of its 32 faces with overlapping, additional icosidodecahedra, for a total of 33 icosidodecahedra per cluster. In the first image, only two colors are used: one for the triangular faces, and another for the pentagons. The second version, however, has the colors assigned by face-type, which is determined by each face’s placement in the overall cluster.
For the third version, I simply put Stella 4d (the program I use to make these images) into “rainbow color mode.” If you’d like to give Stella 4d a try, you can do so for free at this website.
A Gallery of Two Dozen Polyhedra with Icosidodecahedral Symmetry, with a Few of Them Chiral
Any of these rotating polyhedra may be made larger with a click. I created them using Stella 4d, a program you may try (as a free trial download) at http://www.software3d.com/Stella.php.
A Gallery of Fourteen Polyhedra with Cuboctahedral Symmetry
Any of these rotating polyhedra may be made larger with a single click. All were created using Stella 4d, a program you may try for free at this website: http://www.software3d.com/Stella.php.
A Symmetrohedron with 74 Faces
Symmetrohedra have many regular faces, but irregular faces are allowed in them as well. The octagons, hexagons, and squares in this polyhedron are regular, but the 48 triangles are scalene. Here’s what it looks like with these triangles rendered invisible:
Stella 4d was used to make these images; it may be tried for free at this website: http://www.software3d.com/Stella.php.
A Zonohedron with 1382 Faces
I used Stella 4d to make this zonohedron. This program may be tried for free at http://www.software3d.com/Stella.php.
A Zonohedron Featuring 662 Faces: Octadecagons, Decagons, Octagons, Hexagons, and Rhombi
These polyhedral images were created with Stella 4d, a program you may try for free at this website.
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