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User:Tomruen/tempdiagram

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Space Coxeter diagrams Bracket notation Extended
Finite S3 [(2,2,2,2):2] [2[4]:2] = [2[4]] [4[2[4]:2]] = [4[2[4]]] = [[4,2,4]]
[(2,2,2,2):3] [2[4]:3] [4[2[4]:3]] = [[6,2,6]]
[(2,2,2,2):4] [2[4]:4] [4[2[4]:4]] = [[8,2,8]]
[(2,2,2,2):p] [2[4]:p] [4[2[4]:p]] = [[2p,2,2p]]
Affine E2 [(2,2,2,2):∞] [2[4]:∞] [4[2[4]:∞]] = [[∞,2,∞]] = [4,4]
[(3,3,3)] [3[3]] [3[3[3]]] = [6,3]
E3 [(3,3,3,3):2] [3[4]:2] = [3[4]] [4[3[4]:2]] = [[4,3,4]]
E4 [(3,3,3,3,3):2] [3[5]:2] = [3[5]] [5[3[5]:2]] = [5[3[5]]]
E5 [(3,3,3,3,3,3):2] [3[6]:2] = [3[6]] [6[3[6]:2]] = [6[3[6]]]
Compact H2 [(3,3,3,3):∞] [3[4]:∞] [4[3[4]:∞]] = [[∞,3,∞]] = [6,4]
[(2,3,2,3):∞] [(2,3)[2]:∞] [2[(2,3)[2]:∞]] = [6,4]
[(2,2,2,2,2,2):∞] [2[6]:∞] [6[2[6]:∞]] = [6,4]
[(4,4,4,4):∞] [4[4]:∞] [4[4[4]:∞]] = [[∞,4,∞]] = [8,4]
[(3,4,3,4):∞] [(3,4)[2]:∞] [2[(3,4)[2]:∞]] = [8,6]
H3 [(3,4,3,4):2] [(3,4)[2]:2] = [(3,4)[2]] [2[(3,4)[2]]]
Paracompact H3 [(4,4,4,4):2] [4[4]:2] = [4[4]] [4[4[4]:2]] = [[4,4,4]]
[(3,3,3,3):3] [3[4]:3] [4[3[4]:3]] = [[6,3,6]]
Lorentzian L3 [(5,5,5,5):2] [5[4]:2] = [5[4]] [4[5[4]:2]] = [[4,10,4]]
[(∞,∞,∞,∞):2] [∞[4]:2] = [∞[4]] [4[∞[4]:2]] = [[4,∞,4]]
[(a,a,a,a):b] [a[4]:b] [b[a[4]:b]] = [[2b,a,2b]]
L4 [(3,3,3,3,3):3] [3[5]:3] [5[3[5]:3]]