Dicone (EntityTopic, 11)

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Revision as of 06:25, 3 September 2008 by Quickfur (Talk | contribs)


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. It is bounded by two cones and a triangular torus made by rotating a triangle around one edge while the opposite vertex traces out a circle lying in a plane parallel from the edge.

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:
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Projection

The following are the two possible types of parallel projections for a dicone:

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

The nappe-first parallel projection of the dicone into 3-space is a tetrahedron.


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

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