Cylhemoctahedrinder (EntityTopic, 11)
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{{STS Shape | {{STS Shape | ||
| name=Cylhemoctahedrinder | | name=Cylhemoctahedrinder | ||
| dim=5 | | dim=5 | ||
| - | | elements= | + | | elements=6, 13, 13, 5, 2 |
| genus=0 | | genus=0 | ||
| ssc=[(xy)G4P] | | ssc=[(xy)G4P] | ||
| - | | extra={{STS | + | | ssc2=T2x&G4 |
| - | | | + | | extra={{STS Tapertope |
| - | | notation=11<sup>1</sup> | + | | order=3, 1 |
| - | | index= | + | | notation=2[11]<sup>1</sup> |
| + | | index=49 | ||
}}}} | }}}} | ||
The '''cylhemoctahedrinder''' is the [[Cartesian product]] of a [[square pyramid]] and a [[circle]]. Its systematic name uses the square pyramid's less common name ''hemoctahedron'' as systematic naming breaks when trying to represent the Cartesian product of something with a multiple-word name like "square pyramid". | The '''cylhemoctahedrinder''' is the [[Cartesian product]] of a [[square pyramid]] and a [[circle]]. Its systematic name uses the square pyramid's less common name ''hemoctahedron'' as systematic naming breaks when trying to represent the Cartesian product of something with a multiple-word name like "square pyramid". | ||
| + | |||
| + | It is bounded by a [[cubinder]], four [[cyltrianglinder]]s and one curved 4-surface of some description. Its cells are eight [[cylinder]]s and five curved cells formed by bending prisms of the faces of the square pyramid around in 4D. Its faces are five circles and eight curved-cylinder-surfaces. It has five edges and no vertices. | ||
| + | |||
| + | == Projection == | ||
| + | The following is a projection of the cylhemoctahedrinder: | ||
| + | |||
| + | <[#embed [hash XNWHEAVZF6M2PPM1VW37GDRPZ5]]> | ||
{{Pentashapes}} | {{Pentashapes}} | ||
| - | {{ | + | {{Tapertope Nav|48|49|50|22<sup>1</sup><br>Cylconinder|2[11]<sup>1</sup><br>Cylhemoctahedrinder|21<sup>2</sup><br>Cyltetrahedrinder|tera}} |
Latest revision as of 22:57, 11 February 2014
The cylhemoctahedrinder is the Cartesian product of a square pyramid and a circle. Its systematic name uses the square pyramid's less common name hemoctahedron as systematic naming breaks when trying to represent the Cartesian product of something with a multiple-word name like "square pyramid".
It is bounded by a cubinder, four cyltrianglinders and one curved 4-surface of some description. Its cells are eight cylinders and five curved cells formed by bending prisms of the faces of the square pyramid around in 4D. Its faces are five circles and eight curved-cylinder-surfaces. It has five edges and no vertices.
Projection
The following is a projection of the cylhemoctahedrinder:
| Notable Pentashapes | |
| Flat: | pyroteron • aeroteron • geoteron |
| Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
| 48. 221 Cylconinder | 49. 2[11]1 Cylhemoctahedrinder | 50. 212 Cyltetrahedrinder |
| List of tapertopes | ||
