Permutations...
- To: mathgroup at smc.vnet.net
- Subject: [mg95770] Permutations...
- From: brunocam at libero.it
- Date: Mon, 26 Jan 2009 06:52:29 -0500 (EST)
Given 4 elements (1 2 3 4) we have 6 translatios: 1 2 3 4 1 3 2 4 1 4 2 3 2 1 3 4 3 1 2 4 4 3 2 1 Each translation can generate 4 rotations: 1 2 3 4 1 3 2 4 1 4 2 3 2 3 4 1 3 2 4 1 4 2 3 1 3 4 1 2 4 1 3 2 3 1 4 2 4 1 2 3 4 1 3 2 3 1 4 2 etc. Then: Translations = (4-1)! = 6 Rotations = 4 per translation Permutations = Trans * Rot = 4! = 24 With Mathematica: Permutations[Range[4]] prints all 24 Permutations How can I get the 6 Translations and the 18 Rotations separately? Bruno