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# solids.txt, 29 May 11

!fuzz 0.000001

!msgprefix Constant multiplier for 
!msgpostfix \n

# 3.4641016151377545870548926830117447338856 | area of regular Octahedron
0.4714045207910316829338962414032326928564 | volume of regular Octahedron

20.6457288070676030731081437286633151928882 | area of regular Dodecahedron
 7.6631189606246319687160539202797334120210 | volume of regular Dodecahedron

8.6602540378443864676372317075293618347140 | area of regular Icosahedron
2.1816949906249123735038223619713650980999 | volume of regular Icosahedron

!msgprefix Surface area of 
!msgpostfix  dimensional unit sphere\n

12.566370614359172954 | 3
19.739208802178717238 | 4
26.318945069571622985 | 5
# 31.006276680299820177 | 6 or p^3
33.073361792319808190 | 7
32.469697011334145747 | 8
29.686580124648361825 | 9

!msgprefix 
!msgpostfix Building an icosahedron of radius 1.0\n
!need all
# sqrt(2/(5+sqrt(5)))
0.52573111211913360601
# sqrt(2/(5-sqrt(5)))
0.85065080835203993217

