Tag Archives: symmetrohedron

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

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Two Symmetrohedra Which Feature Enneagons

These two symmetrohedra were created using Stella 4d, software you can try for free right here.

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Three Symmetrohedra

Symmetrohedra are polyhedra which have many (but not all) faces regular, and have some form of polyhedral symmetry. Here’s one that has regular decagons and triangles, along with trapezoids appearing in “bowtie” pairs. The next one has regular dodecagons and … Continue reading

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A Symmetrohedron Featuring Regular Hexadecagons and Regular Hexagons

I made this using Stella4d, which you can try for free right here.

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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 polyhedron-manipulation program you can try for yourself at http://www.software3d.com/Stella.php. The second … Continue reading

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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

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Three Convex Polyhedra with Tetrahedral Symmetry, Each Featuring Four Regular Enneagons

In addition to the four regular enneagons, the polyhedron above also has rhombi and isosceles triangles as faces. The next one, however, adds equilateral triangles, instead, to the four regular enneagons, along with trapezoids and rectangles. Only the last of … Continue reading

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