Coninder (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Shape|Coninder|''No image''|4|4, ?, ?, ?|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cone|T]]E|2<sup>1</sup>1|N/A|N/A|N/A|37}} | + | {{Shape|Coninder|''No image''|4|4, ?, ?, ?|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cone|T]]E|2<sup>1</sup>1|N/A|N/A|N/A|37|N/A|N/A|pure}} |
== Geometry == | == Geometry == | ||
A '''coninder''' is a special case of a [[tetraprism]] where the base is a [[cone]]. | A '''coninder''' is a special case of a [[tetraprism]] where the base is a [[cone]]. | ||
Revision as of 18:19, 18 June 2007
Geometry
A coninder is a special case of a tetraprism where the base is a cone.
Equations
- Assumption: Coninder's base is centered at the origin.
- Variables:
r ⇒ radius of base of coninder
h ⇒ height of coninder
l ⇒ length of coninder
- The hypervolumes of a coninder are given by:
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = πr2hl3-1
- The realmic cross-sections (n) of a coninder are:
[!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
