Dicone (EntityTopic, 11)
From Hi.gher. Space
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{{Shape|Dicone|''No image''|4|3, 4, 2, 2|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cone|T]]T|2<sup>2</sup> xy<sup>zw</sup>|''Unknown''|N/A|N/A|38|N/A|N/A|pure}} | {{Shape|Dicone|''No image''|4|3, 4, 2, 2|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cone|T]]T|2<sup>2</sup> xy<sup>zw</sup>|''Unknown''|N/A|N/A|38|N/A|N/A|pure}} | ||
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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]]. | ||
- | + | == Equations == | |
*Variables: | *Variables: | ||
<blockquote>''r'' ⇒ radius of base of dicone<br> | <blockquote>''r'' ⇒ radius of base of dicone<br> |
Revision as of 20:23, 22 September 2007
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 |