Showing posts with label numbers. Show all posts
Showing posts with label numbers. Show all posts

20.11.13

13.6.12

Icosidodecagon




A 32-sided polygon. The regular icosidodecagon is a constructible polygon, and the regular icosidodecahedron of side length 1 has inradius r, circumradius R, and area A

r=1/2[1+sqrt(2)+sqrt(2(2+sqrt(2)))+sqrt(2(2+sqrt(2))(2+sqrt(2+sqrt(2))))]
(1)
R=[1/2(2+sqrt(2))(2+sqrt(2+sqrt(2)))×(2+sqrt(2+sqrt(2+sqrt(2))))]^(1/2)
(2)
A=8[1+sqrt(2)+sqrt(2(2+sqrt(2)))+sqrt(2(2+sqrt(2))(2+sqrt(2+sqrt(2))))].
(3)

28.5.12

Chess

In chess, the total number of black squares on the board, the total number of white squares, and the total number of pieces (black and white) at the beginning of the game.


17.4.12

Happiness


32 is the ninth Happy Number. 

For more information on the wonders of the happy numbers check Wikipedia.


2.4.12

Visual representation

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