Icosahedral truncate (EntityTopic, 11)

(Difference between revisions)

Revision as of 23:35, 18 November 2007

l ⇒ length of edges of the truncated icosahedron

total edge length = 90l
surface area = 3(3^{2^-1}10+5^{2^-1}(5+5^{2^-1}2)^{2^-1})l²
volume = (125+5^{2^-1}43)l³4^-1

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

@@ Line 1: / Line 1: @@
-{{Shape|Icosahedral truncate|http://fusion-global.org/share/truncicosa.png|3|32, 90, 60|0|t{[[Pentagon|3,]]5}|''Unknown''|''Unknown''|N/A|Isosceles [[triangle]]|Ti|[[Pentakis dodecahedron]]|N/A|N/A|N/A|none|''Unknown''|''Unknown''|[[Pentagon|5]]⋅[[Hexagon|6]]<sup>2</sup>}}
+{{Shape
+| image=http://fusion-global.org/share/truncicosa.png
+| dim=3
+| elements=32, 90, 60
+| schlaefli=t{[[Pentagon|3,]]5}
+| 20=SSC
+| ssc={G5<sup>3</sup>}X6
+| vfigure=Isosceles [[triangle]]
+| vlayout=[[Pentagon|5]]⋅[[Hexagon|6]]<sup>2</sup>
+| bowers=Ti
+| kana=ｲｺﾄ
+| dual=[[Pentakis dodecahedron]]
+}}
 == Geometry ==
 === Equations ===