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{{Infobox polyhedron
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| image        = sphenocorona.png
| type          = [[Johnson solid|Johnson]]<br>[[snub square antiprism|J<sub>85</sub>]] - '''J<sub>86</sub>''' - [[augmented sphenocorona|J<sub>87</sub>]]
| faces        = 2x2+2x4 [[triangle]]s <br> 2 [[Square (geometry)|square]]s
| edges        = 22
| vertices      = 10
| symmetry      = ''C''<sub>2v</sub>
| vertex_config = 4(3<sup>3</sup>.4) <br> 2(3<sup>2</sup>.4<sup>2</sup>) <br> 2x2(3<sup>5</sup>)
| dual          = -
| properties    = [[convex set|convex]]
| net          = Johnson solid 86 net.png
}}
 
In [[geometry]], the '''sphenocorona''' is one of the
[[Johnson solid]]s (''J''<sub>86</sub>).
 
{{Johnson solid}}
 
It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the [[Platonic solid|Platonic]] and [[Archimedean solid|Archimedean]] solids.
 
==Formulae==
The following [[formula]]e for [[volume]] and [[surface area]] can be used if all [[face (geometry)|faces]] are [[regular polygon|regular]], with edge length ''a'':<ref>[[Stephen Wolfram]], "[http://www.wolframalpha.com/input/?i=sphenocorona Sphenocorona]" from [[Wolfram Alpha]]. Retrieved July 21, 2010.</ref>
 
<math>V=\left(\frac{1}{2}\sqrt{1+3\sqrt{\frac{3}{2}+\sqrt{13+3\sqrt{6}}}}\right)a^3\approx1.51535...a^3</math>
 
<math>A=\left(2+3\sqrt{3}\right)a^2\approx7.19615...a^2</math>
 
==See also==
* [[Augmented sphenocorona]]
 
==References==
{{Reflist}}
 
==External links==
* {{MathWorld | urlname=JohnsonSolid | title=Johnson Solid}}
* {{MathWorld | urlname=Sphenocorona  | title=Sphenocorona}}
 
[[Category:Johnson solids]]
 
 
{{Polyhedron-stub}}

Latest revision as of 06:32, 31 October 2014

Hello and welcome. My name is Numbers Wunder. One of the things he loves most is ice skating but he is struggling to find time for it. For many years I've been working as a payroll clerk. Puerto Rico is exactly where he and his wife reside.

My site; meal delivery service