Triangular octagoltriate (EntityTopic, 11)
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The triangular octagoltriate is a powertope formed by taking the octagon of the triangle. It is therefore the convex hull of two ditriangular duoprisms, each being the duoprism of triangles of side 1 and 1+√2, oriented in opposite axes.
Cells
The triangular octagoltriate has the following cells:
- 6× prism of side 1+√2 and end equilateral triangle of side 1
- 6× prism of side 1 and end equilateral triangle of side 1+√2
- 9× antifrustoid of base rectangle of sides 1 and 1+√2 and unknown height
Faces
The triangular octagoltriate has the following faces:
- 6× equilateral triangle of side 1
- 6× equilateral triangle of side 1+√2
- 18× rectangle of sides 1 and 1+√2
- 18× trapezium of base 1+√2, height √3 and apex ½√6+√3
| Notable Tetrashapes | |
| Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
| Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
| Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
| Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
