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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
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
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
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, symmetrohedron, symmetrohera
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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.
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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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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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
Posted in Mathematics
Tagged enneagon, geometry, Mathematics, nonagon, polyhedra, polyhedron, symmetrohedron, tetrahedral
1 Comment