Bicone (EntityTopic, 10)
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''h'' ⇒ perpendicular height of bicone from the circle to one of the vertices</blockquote> | ''h'' ⇒ perpendicular height of bicone from the circle to one of the vertices</blockquote> | ||
| - | *The [[hypervolume]]s of a | + | *The [[hypervolume]]s of a bicone are given by: |
<blockquote>total edge length = 2π''r''<br> | <blockquote>total edge length = 2π''r''<br> | ||
surface area = 2π''r''√(''r''<sup>2</sup> + ''h''<sup>2</sup>))<br> | surface area = 2π''r''√(''r''<sup>2</sup> + ''h''<sup>2</sup>))<br> | ||
Latest revision as of 15:03, 26 March 2017
A bicone is the tegum product of a circle and a digon. It is also the result of attaching two cones at their bases.
Equations
- Variables:
r ⇒ radius of base of bicone
h ⇒ perpendicular height of bicone from the circle to one of the vertices
- The hypervolumes of a bicone are given by:
total edge length = 2πr
surface area = 2πr√(r2 + h2))
volume = 2π∕3 · r2h
- The planar cross-sections (n) of a cone are:
[!x,!y] ⇒ rhombus
[!z] ⇒ circle
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
| 7. [(II)I] Cylinder | 8. <(II)I> Bicone | 9. ([II]I) Crind |
| List of bracketopes | ||
