Diminished rectified order-6 truncated triakis tetrahedron
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Diminished rectified order-6 truncated triakis tetrahedron | |
---|---|
Rank | 3 |
Type | Near-miss |
Elements | |
Faces | 3+3+3+3 isosceles triangles, 6 irregular pentagons, 1 hexagon, 1 dodecagon |
Edges | 6+6+6+6+6+3+3+3+3 |
Vertices | 6+6+6+3+3 |
Vertex figures | 6+6 scalene triangles |
6 irregular quadrilateral | |
3+3 isosceles trapezoid | |
Measures (edge length 1) | |
Edge length ratio | 1.04774 |
Central density | 1 |
Number of external pieces | 20 |
Related polytopes | |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 2 |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | A2×I |
Convex | Yes |
Nature | Tame |
The diminished rectified order-6 truncated triakis tetrahedron is a near-miss Johnson solid. Its faces are 3+3+3+3 isosceles triangles, 6 irregular pentagons, 1 hexagon and 1 dodecagon.
It can be called a hexagonal rotunda, due to its visual similarity to the pentagonal rotunda. That being said, there's not actually a family of rotunda-like shapes that contains both of these.