Cylindrone (EntityTopic, 11)

From Hi.gher. Space

(Difference between revisions)
m
 
(3 intermediate revisions not shown)
Line 1: Line 1:
 +
<[#ontology [kind topic] [cats 4D Curved Tapertope]]>
{{STS Shape
{{STS Shape
| name=Cylindrone
| name=Cylindrone
Line 6: Line 7:
| ssc=[(xy)z]P
| ssc=[(xy)z]P
| ssc2=&+T2
| ssc2=&+T2
-
| extra={{STS Rotope
+
| extra={{STS Tapertope
-
| attrib=pure
+
| order=2, 1
-
| notation=(11)1<sup>1</sup> (xy)z<sup>w</sup>)
+
| notation=[21]<sup>1</sup>
-
| index=33
+
| index=18
}}}}
}}}}
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.
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}}
-
{{Rotope Nav|34|35|36|(II)II<br>Cubinder|(II)I'<br>Cylindrone|((II)II)<br>Toracubinder|chora}}
+
{{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: (image) Disk-first: (image) Edge-first: (image)


Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus


17. 31
Sphone
18. [21]1
Cylindrone
19. [111]1
Cubic pyramid
List of tapertopes