Cylindrone (EntityTopic, 11)
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+ | <[#ontology [kind topic] [cats 4D Curved Tapertope]]> | ||
{{STS Shape | {{STS Shape | ||
- | | name= | + | | name=Cylindrone |
| dim=4 | | dim=4 | ||
| elements=4, 5, 2, 1 | | elements=4, 5, 2, 1 | ||
| genus=? | | genus=? | ||
| ssc=[(xy)z]P | | ssc=[(xy)z]P | ||
- | | extra={{STS | + | | ssc2=&+T2 |
- | | | + | | extra={{STS Tapertope |
- | | notation= | + | | order=2, 1 |
- | | index= | + | | notation=[21]<sup>1</sup> |
+ | | index=18 | ||
}}}} | }}}} | ||
- | The | + | The '''cylindrone''' is a special case of the [[pyramid]] where the base is a [[cylinder]]. It has a single vertex, and is bounded by two [[cone]]s, a [[cylinder]], and an [[inverted arrinder]]. Its vertex-first projection into 3D is a cylinder containing two cones that meet at the central vertex. |
+ | |||
+ | == Cross-sections == | ||
+ | Cylinder-first: | ||
+ | <[#embed [hash F1CBT46J723V82ZNV08PTEHXZJ]]> | ||
+ | Disk-first: | ||
+ | <[#embed [hash PHRSGB59W2NRRP9F5MFJ41FC7X]]> | ||
+ | Edge-first: | ||
+ | <[#embed [hash 6DR7J0VR0EPWT7PADYHZRGQQN5]]> | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
- | {{ | + | {{Tapertope Nav|17|18|19|3<sup>1</sup><br>Sphone|[21]<sup>1</sup><br>Cylindrone|[111]<sup>1</sup><br>Cubic pyramid|chora}} |
Latest revision as of 18:25, 24 April 2018
The cylindrone is a special case of the pyramid where the base is a cylinder. It has a single vertex, and is bounded by two cones, a cylinder, and an inverted arrinder. Its vertex-first projection into 3D is a cylinder containing two cones that meet at the central vertex.
Cross-sections
Cylinder-first: Disk-first: Edge-first:
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 |
17. 31 Sphone | 18. [21]1 Cylindrone | 19. [111]1 Cubic pyramid |
List of tapertopes |