Bicone (EntityTopic, 10)

From Hi.gher. Space

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A '''bicone''' is the [[tegum product]] of a [[circle]] and a [[digon]].
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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.
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== Equations ==
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*Variables:
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<blockquote>''r'' ⇒ radius of base of bicone<br>
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''h'' ⇒ perpendicular height of bicone from the circle to one of the vertices</blockquote>
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*The [[hypervolume]]s of a cone are given by:
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<blockquote>total edge length = 2π''r''<br>
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surface area = 2π''r''√(''r''<sup>2</sup> + ''h''<sup>2</sup>))<br>
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volume = {{Over|2π|3}} &middot; ''r''<sup>2</sup>''h''</blockquote>
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*The [[planar]] [[cross-section]]s (''n'') of a cone are:
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<blockquote>[!x,!y] ⇒ rhombus <br>
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[!z] ⇒ circle
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</blockquote>
{{Trishapes}}
{{Trishapes}}
{{Bracketope Nav|7|8|9|[(II)I]<br>Cylinder|<(II)I><br>Bicone|([II]I)<br>Crind|hedra}}
{{Bracketope Nav|7|8|9|[(II)I]<br>Cylinder|<(II)I><br>Bicone|([II]I)<br>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: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind


7. [(II)I]
Cylinder
8. <(II)I>
Bicone
9. ([II]I)
Crind
List of bracketopes