# Pentagonal octagoltriate (EntityTopic, 11)

### From Hi.gher. Space

The **pentagonal octagoltriate** is a powertope formed by taking the octagon of the pentagon. It is therefore the convex hull of two duoprisms of regular pentagons of side 1 and 1+√2, oriented in opposite axes.

Notable Tetrashapes
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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 |