Dicone (EntityTopic, 11)
From Hi.gher. Space
(Difference between revisions)
m |
(update to STS) |
||
| Line 1: | Line 1: | ||
| - | {{Shape | + | {{STS Shape |
| - | + | ||
| name=Dicone | | name=Dicone | ||
| dim=4 | | dim=4 | ||
| elements=3, 4, 2, 2 | | elements=3, 4, 2, 2 | ||
| genus=0 | | genus=0 | ||
| - | |||
| ssc=(xy)PP | | ssc=(xy)PP | ||
| - | | | + | | extra={{STS Rotope |
| - | | | + | | attrib=pure |
| - | }} | + | | notation=2<sup>2</sup> (xy)<sup>zw</sup> |
| + | | index=38 | ||
| + | }}}} | ||
A '''dicone''' is a special case of a [[pyramid]] where the base is a [[cone]]. It is also a special case of a [[dipyramid]] where the base is a [[circle]]. | A '''dicone''' is a special case of a [[pyramid]] where the base is a [[cone]]. It is also a special case of a [[dipyramid]] where the base is a [[circle]]. | ||
Revision as of 14:56, 14 March 2008
A dicone is a special case of a pyramid where the base is a cone. It is also a special case of a dipyramid where the base is a circle.
Equations
- Variables:
r ⇒ radius of base of dicone
h ⇒ height of dicone
- All points (x, y, z, w) that lie on the surface of a dicone will satisfy the following equations:
Unknown
- The hypervolumes of a dicone are given by:
Unknown
- The realmic cross-sections (n) of a dicone are:
Unknown
Projection
The following are the two possible types of parallel projections for a dicone:
http://fusion-global.org/share/dicone.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 |
