Dicone (EntityTopic, 11)
From Hi.gher. Space
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 an arrinder. Its faces are a circle and two curved-cone-surfaces.
Equations
- Variables:
r ⇒ radius of base of dicone
h ⇒ height of dicone
- The hypervolumes of a dicone are given by: (the red equations are thought to be inaccurate and need revising!)
total edge length = 2πr + h
total surface area = πr(r + 2√(r^{2} + h^{2}))
surcell volume = ^{πrh}∕_{3} · (2r + √(r^{2} + h^{2}))
bulk = ^{π}∕_{12} · r^{2}h^{2}
- The realmic cross-sections (n) of a dicone are:
Unknown
Cross-sections
Disk-first: Edge-first: Cone-first:
Projection
The following are the two possible types of parallel projections for a dicone:
The nappe-first parallel projection of the dicone into 3-space is a tetrahedron.
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 |
21. 111^{1} Triangular diprism | 22. 2^{2} Dicone | 23. [11]^{2} Square dipyramid |
List of tapertopes |