# Bicone (EntityTopic, 10)

(Difference between revisions)
 Revision as of 22:55, 11 February 2014 (view source)Hayate (Talk | contribs)m (ontology)← Older edit Revision as of 02:32, 26 March 2017 (view source)Newer edit → Line 3: Line 3: | image=<[#embed [hash RQBYTBGJKTVCMV1MDFX1TTA2C5] [width 180]]> | image=<[#embed [hash RQBYTBGJKTVCMV1MDFX1TTA2C5] [width 180]]> | dim=3 | dim=3 - | elements=2, 1, 2 + | elements=2 conic naps, 1 circular edge, 2 [[point]]s | genus=0 | genus=0 | ssc=<(xy)z> | ssc=<(xy)z> Line 9: Line 9: | extra={{STS Bracketope | extra={{STS Bracketope | index=8 | index=8 + | notation=<(II)I> }}}} }}}} - A '''bicone''' is the [[tegum product]] of a [[circle]] and a [[digon]]. + A '''bicone''' is the [[tegum product]] of a [[circle]] and a [[digon]]. It is also the result of attaching two [[cone]]s 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 [[hypervolume]]s of a cone are given by: +
total edge length = 2π''r''
+ surface area = 2π''r''√(''r''2 + ''h''2))
+ volume = {{Over|2π|3}} · ''r''2''h''
+ + *The [[planar]] [[cross-section]]s (''n'') of a cone are: +
[!x,!y] ⇒ rhombus
+ [!z] ⇒ circle +
{{Trishapes}} {{Trishapes}} {{Bracketope Nav|7|8|9|[(II)I]
Cylinder|<(II)I>
Bicone|([II]I)
Crind|hedra}} {{Bracketope Nav|7|8|9|[(II)I]
Cylinder|<(II)I>
Bicone|([II]I)
Crind|hedra}}

## Revision as of 02:32, 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
total edge length = 2πr
surface area = 2πr√(r2 + h2))
volume = 3 · r2h
[!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