Coninder (EntityTopic, 11)

From Hi.gher. Space

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<blockquote>http://fusion-global.org/share/coninder3.png</blockquote>
<blockquote>http://fusion-global.org/share/coninder3.png</blockquote>
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{{Polychora}}
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{{Tetrashapes}}
{{Rotope Nav|36|37|38|((II)II)<br>Toracubinder|(II)'I<br>Coninder|<nowiki>(II)''</nowiki><br>Dicone|chora}}
{{Rotope Nav|36|37|38|((II)II)<br>Toracubinder|(II)'I<br>Coninder|<nowiki>(II)''</nowiki><br>Dicone|chora}}

Revision as of 20:21, 17 August 2007

Template:Shape

Geometry

A coninder is a special case of a tetraprism where the base is a cone.

Equations

  • Variables:
r ⇒ radius of base of coninder
h ⇒ height of coninder
l ⇒ length of coninder
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = πr2hl3-1
[!x,!y] ⇒ Unknown
[!z] ⇒ cylinder of radius (r-rnh-1) and height l
[!w] ⇒ cone of base radius r and height h

Projection

The following is the parallel projection of the coninder:

http://fusion-global.org/share/coninder1.png

In perspective projection, the coninder can also appear as two concentric cones. Note that the frustum at the bottom is actually a cylinder:

http://fusion-global.org/share/coninder2.png

The following are also perspective projections of the coninder. It seems to have four cells: two cones, a cylinder and something else, which may or may not be another cylinder(?).

http://fusion-global.org/share/coninder3.png


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

Template:Rotope Nav