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Tag Archives: symmetrohedra
Four Symmetrohedra with Tetrahedral Symmetry
Symmetrohedra are polyhedra with some form of polyhedral symmetry, and many (not necessarily all) regular faces. The first two symmetrohedra here each include four regular enneagons as faces. The next two symmetrohedra each include four regular dodecagons as faces. All … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, symmetrohedra, symmetrohedron, symmetry, tetrahedral
2 Comments
Two Symmetrohedra Which Feature Enneagons
These two symmetrohedra were created using Stella 4d, software you can try for free right here.
Posted in Mathematics
Tagged enneagon, geometry, Mathematics, nonagon, polyhedra, polyhedron, symmetrohedra, symmetrohedron
2 Comments
A Symmetrohedron Featuring Regular Hexadecagons and Regular Hexagons
I made this using Stella4d, which you can try for free right here.
Four Symmetrohedra
Symmetrohedra are polyhedra with some form of polyhedral symmetry, all faces convex, and many (but not all) faces regular. Here are four I have found using Stella 4d, a polyhedronmanipulation program you can try for yourself at http://www.software3d.com/Stella.php. The second … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, symmetrohedra, symmetrohedron
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Bowtie Cubes in a Polyhedral Honeycomb
This polyhedron has been described here as a “bowtie cube.” It is possible to augment its six dodecagonal faces with additional bowtie cubes. Also, the bowtie cube’s hexagonal faces may be augmented by truncated octahedra. These two polyhedra “tessellate” space, together … Continue reading
Posted in Mathematics
Tagged 3d, bowtie cube, geometry, honeycomb, Mathematics, polyhedra, polyhedral, polyhedron, symmetrahedron, symmetrohedra, threedimensional, truncated octahedron
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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: … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, symmetrohedra, symmetrohedron
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The Second of Dave Smith’s “Bowtie” Polyhedral Discoveries, and Related Polyhedra
Dave Smith discovered the polyhedron in the last post here, shown below, with the faces hidden, to reveal how the edges appear on the back side of the figure, as it rotates. (Other views of it may be found here.) … Continue reading