Cylspherinder (EntityTopic, 13)
From Hi.gher. Space
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The cylspherinder will always roll when placed on a surface. If it rests on one of its [[teron|tera]], it can cover the space of a line. If it rests on its other teron, it can cover the space of a plane. | The cylspherinder will always roll when placed on a surface. If it rests on one of its [[teron|tera]], it can cover the space of a line. If it rests on its other teron, it can cover the space of a plane. | ||
| - | {{ | + | {{Pentashapes}} |
{{Rotope Nav|73|74|75|(((III)I)I)<br>Toraspherindric torus|(III)(II)<br>Cylspherinder|((III)(II))<br>Cylspherintigroid|tera}} | {{Rotope Nav|73|74|75|(((III)I)I)<br>Toraspherindric torus|(III)(II)<br>Cylspherinder|((III)(II))<br>Cylspherintigroid|tera}} | ||
{{Bracketope Nav|132|133|134|[(xy)(<zw>φ)]<br>''Unknown shape''|[(xy)(zwφ)]<br>Cylspherinder|<[xy][zwφ]><br>''Unknown shape''|tera}} | {{Bracketope Nav|132|133|134|[(xy)(<zw>φ)]<br>''Unknown shape''|[(xy)(zwφ)]<br>Cylspherinder|<[xy][zwφ]><br>''Unknown shape''|tera}} | ||
Revision as of 07:10, 18 August 2007
Geometry
A cylspherinder is the Cartesian product of a sphere and a circle.
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 |
| 132. [(xy)(<zw>φ)] Unknown shape | 133. [(xy)(zwφ)] Cylspherinder | 134. ExPar: unexpected closing bracket Unknown shape |
| List of bracketopes | ||
