Polyeder. 
282 
Polyeder. 
fürs Dodekaeder 
r fürs Tetraeder 
fürs Octaeder 
fürs Ikosaeder 
fürs Hexaeder 
fürs Dodekaeder 
A fürs Tetraeder 
fürs Octaeder 
fürs Ikosaeder 
fürs Hexaeder 
fürs Dodekaeder 
J 2 fürs Tetraeder 
= i 1/3 (6 + 2 5) X k 
= D3 (5 - 2 VS) x r 
= ix ß 
= ~i V ]/ 6 x k 
= k j/6 x k 
= i]/3 X ß 
= tV(3 + 1/5) 13 X k 
_ + 2 J/5 
= 1,401 2585 X k 
= 1,258 4086 x r 
= 0,333 3333 X ß 
= 0,204 1241 X k 
= 0,408 2483 X k 
= 0,577 3503 X ß 
= 0,755 7613 x k 
X ß = 0,794 6435 X ß 
15 
= 4 X k = 0,500 0000 x k 
= iV3 X ß = 0,577 3503 x ß 
= iI / i(50i+22V5)x/t= 1,114 6381 x k 
= m (5 + 2D5) X ß = 0,794 6544 X ß 
= iV6 X ß = 1,632 9932 X ß 
= 21^6 X r = 4,898 9795 xr 
= 1/2 xß = 1,414 2136 xß 
= V6 X r = 2,449 4897 X r 
= V2 (1 - i 1/5) X ß = 1,051 4620 X ß 
= (3 - Vö) 1/3 X r = 1,323 1691 X r 
= if/3 X ß = 1,154 7005 X ß 
= 2 X r = 2,000 0000 X r 
= ¿J/6 (3 - V5) X ß = 0,713 6441 X ß 
= 1 50 - 22 V5 X r = 0,778 7840 X r 
= il/3 X Ä 2 = 1,632 9932 X A 2 
= Jl/3xß 2 = 1,154 7005 X ß» 
= 21/3 Xr 3 = 3,464 1016 X r 2 
fürs Octaeder = il/3 + A a = 1,632 9932 x A 2 
= iV3 X ß 2 = 0,866 0254 X ß 2 
= |D3 X r 2 = 2,598 0762 X r 2 
fürs Ikosaeder = iV3 x A 2 = 0,433 0127 x A 2 
= xV (5 - 1/5) 1/3 X ß 2 = 0,478 7270 X ß 2 
= I (7 - 31/5) 1/3 X r 2 = 0,758 1084 X r 2 
fürs Hexaeder = A 2 = 1,000 0000 X A 2 
= i X ß 2 = 1,333 3333 X ß 2 
= 4 X r 2 = 4,000 0000 X r 2 
fürs Dodekaeder = i 1'5 (5 + 2 J/5) x A 2 = 1,720 4773 x A 2 
= i 1/10(5-1/5) X ß 2 = 0,876 218 X ß 2 
= 5-1/2 (65 — 291 7 5 X r 2 = 1,245 1340 X r 2 
J 3 fürs Tetraeder = j/2 x l 3 = 0,117 8511 x A 3 
= 2 V X ß 3 = 0,513 200 x ß 3 
= jj J/3 x r 3 = 1,539 6007 X r 3 
fürs Octaeder = il'2 X A 3 = 0,471 4045 X A 3 
= i x ß 3 = 1,333 3333 x ß 3 
= 413 X r 3 = 6,928 2032 X r 3 
fürs Ikosaeder = T s j (3 + V'5) A 3 = 2,181 6950 X A 3 
= 11/I0 + 2 K5 X ß 3 = 2,536 1509 X ß 3 
= 10(7-3l'5)^3Xr 3 = 0,505 4056 X r 3 
fürs Hexaeder = A 3 = 1,000 0000 x A 3 
= 51/3 X ß 3 = 1,539 6007 X ß 3 
= 8 X r 3 = 8,000 0000 X r 3