Cylspherinder (EntityTopic, 13)
From Hi.gher. Space
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{{Tapertope Nav|31|32|33|41<br>Glominder|32<br>Cylspherinder|311<br>Cubspherinder|tera}} | {{Tapertope Nav|31|32|33|41<br>Glominder|32<br>Cylspherinder|311<br>Cubspherinder|tera}} | ||
{{Toratope Nav A|13|14|15|((II)I)II<br>Cubtorinder|(((II)I)II)<br>Toracubtorinder|(III)(II)<br>Cylspherinder|((III)(II))<br>Cylspherintigroid|((II)I)(II)<br>Cyltorinder|(((II)I)(II))<br>Cyltorintigroid|tera}} | {{Toratope Nav A|13|14|15|((II)I)II<br>Cubtorinder|(((II)I)II)<br>Toracubtorinder|(III)(II)<br>Cylspherinder|((III)(II))<br>Cylspherintigroid|((II)I)(II)<br>Cyltorinder|(((II)I)(II))<br>Cyltorintigroid|tera}} | ||
| - | {{Bracketope Nav|168|169|170|[(xy)(<zw>φ)]<br>''Unknown shape''|[(xy)(zwφ)]<br>Cylspherinder|<[xy][zwφ]><br>''Unknown shape''|tera}} | + | {{Bracketope Nav|168|169|170|[(xy)(<zw>φ)]<br>''Unknown shape''|[(xy)(zwφ)]<br>Cylspherinder|<nowiki><[xy][zwφ]></nowiki><br>''Unknown shape''|tera}} |
Revision as of 14:18, 11 September 2011
A cylspherinder is the Cartesian product of a sphere and a circle. It is the expanded rotatope of the toraspherinder and toracubinder.
Equations
- Variables:
a ⇒ radius of the sphere
b ⇒ radius of the circle
- The hypervolumes of a cylspherinder are given by:
Unknown
Rolling
The cylspherinder will always roll when placed on a surface. If it rests on one of its tera, it can cover the space of a line. If it rests on its other teron, it can cover the space of a plane.
| Notable Pentashapes | |
| Flat: | pyroteron • aeroteron • geoteron |
| Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
| 31. 41 Glominder | 32. 32 Cylspherinder | 33. 311 Cubspherinder |
| List of tapertopes | ||
| 13a. ((II)I)II Cubtorinder | 13b. (((II)I)II) Toracubtorinder | 14a. (III)(II) Cylspherinder | 14b. ((III)(II)) Cylspherintigroid | 15a. ((II)I)(II) Cyltorinder | 15b. (((II)I)(II)) Cyltorintigroid |
| List of toratopes | |||||
| 168. [(xy)(<zw>φ)] Unknown shape | 169. [(xy)(zwφ)] Cylspherinder | 170. <[xy][zwφ]> Unknown shape |
| List of bracketopes | ||
