Triangular octagoltriate (EntityTopic, 11)
From Hi.gher. Space
(Difference between revisions)
(add) |
m |
||
| Line 8: | Line 8: | ||
}} | }} | ||
| - | The '''triangular octagoltriate''' is a [[powertope]] formed by taking the [[octagon]] of the [[triangle]]. It is therefore the [[convex hull]] of two | + | The '''triangular octagoltriate''' is a [[powertope]] formed by taking the [[octagon]] of the [[triangle]]. It is therefore the [[convex hull]] of two [[ditriangular duoprism]]s, each being the [[duoprism]] of triangles of side 1 and 1+√2, oriented in opposite axes. |
== Cells == | == Cells == | ||
Revision as of 14:50, 17 November 2007
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
- 6× frustoid of base equilateral triangle of side 1+√2, height ½√2 and apex ½+½√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 |
