Coninder (EntityTopic, 11)
From Hi.gher. Space
(Difference between revisions)
(Elaborate on description) |
m |
||
Line 6: | Line 6: | ||
| genus=0 | | genus=0 | ||
| ssc=[x(yz)P] | | ssc=[x(yz)P] | ||
+ | | ssc2=+&T2 | ||
| extra={{STS Rotope | | extra={{STS Rotope | ||
| attrib=pure | | attrib=pure | ||
Line 35: | Line 36: | ||
== Projection == | == Projection == | ||
The following is the parallel projection of the coninder: | The following is the parallel projection of the coninder: | ||
- | <blockquote>http:// | + | <blockquote>http://teamikaria.com/share/?caption=coninder1.png</blockquote> |
In perspective projection, the coninder can also appear as two concentric cones. Note that the [[frustum]] at the bottom is actually a cylinder: | In perspective projection, the coninder can also appear as two concentric cones. Note that the [[frustum]] at the bottom is actually a cylinder: | ||
- | <blockquote>http:// | + | <blockquote>http://teamikaria.com/share/?caption=coninder2.png</blockquote> |
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{{hmm}}. | 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{{hmm}}. | ||
- | <blockquote>http:// | + | <blockquote>http://teamikaria.com/share/?caption=coninder3.png</blockquote> |
{{Tetrashapes}} | {{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 16:31, 28 October 2008
A coninder is a special case of a tetraprism where the base is a cone. It is bounded by two cones, a cylinder, and a tetragonal torus with a degenerate hole that coincides with its single edge.
Its edge-first projection into 3-space is a cylinder containing two cones joined apex to apex by an edge.
Equations
- 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://teamikaria.com/share/?caption=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://teamikaria.com/share/?caption=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://teamikaria.com/share/?caption=coninder3.png
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 |