Cylindrone (EntityTopic, 11)

From Hi.gher. Space

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{{Shape|Cylindrical pyramid|''No image''|4|4, 5, 2, 1|?|N/A|N/A|''Unknown''|(11)1<sup>1</sup> (xy)z<sup>w</sup>)|N/A|N/A|N/A|33|N/A|N/A|strange immeasurable}}
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<[#ontology [kind topic] [cats 4D Curved Tapertope]]>
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{{STS Shape
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| name=Cylindrone
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| dim=4
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| elements=4, 5, 2, 1
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| genus=?
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| ssc=[(xy)z]P
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| ssc2=&+T2
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| extra={{STS Tapertope
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| order=2, 1
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| notation=[21]<sup>1</sup>
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| index=18
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}}}}
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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.
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== Cross-sections ==
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Cylinder-first:
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<[#embed [hash F1CBT46J723V82ZNV08PTEHXZJ]]>
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Disk-first:
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<[#embed [hash PHRSGB59W2NRRP9F5MFJ41FC7X]]>
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Edge-first:
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<[#embed [hash 6DR7J0VR0EPWT7PADYHZRGQQN5]]>
{{Tetrashapes}}
{{Tetrashapes}}
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{{Rotope Nav|34|35|36|(II)II<br>Cubinder|(II)I'<br>Cylindrical pyramid|((II)II)<br>Toracubinder|chora}}
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{{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