U-tiling: UQC3745
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc821 |
*22222 |
(3,4,2) |
{4,4,4} |
{6.5.5.6}{6.5.6.5}{5.5.5.5} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
False
|
|
sqc1903
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4} |
8 |
(3,4) |
G
|
False
|
|
sqc7765
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
16 |
(3,5) |
D
|
False
|
|
sqc2079
|
|
Cmma |
67 |
orthorhombic |
{4,4,4} |
8 |
(3,4) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {6.5.5.6}{6.5.6.5}{5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.2:128:73 3 5 7 16 89 11 13 15 105 19 21 23 32 121 27 29 31 81 35 37 39 48 65 43 45 47 113 51 53 55 64 97 59 61 63 67 69 71 88 75 77 79 96 83 85 87 91 93 95 99 101 103 120 107 109 111 128 115 117 119 123 125 127,2 19 6 13 8 10 27 14 16 18 22 29 24 26 30 32 34 51 38 45 40 42 59 46 48 50 54 61 56 58 62 64 66 99 70 85 72 74 107 78 93 80 82 115 86 88 90 123 94 96 98 102 117 104 106 110 125 112 114 118 120 122 126 128,65 4 5 70 71 40 81 12 13 86 87 48 97 20 21 102 103 56 113 28 29 118 119 64 89 36 37 94 95 73 44 45 78 79 121 52 53 126 127 105 60 61 110 111 68 69 96 76 77 88 84 85 92 93 100 101 128 108 109 120 116 117 124 125:6 5 6 5 6 5 6 5 5 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 'tau2', (2, 62): 'tau2', (2, 63): 't1', (2, 56): 'tau2', (1, 124): 't2*tau1*t3^-1', (2, 53): 'tau3^-1', (2, 54): 'tau3^-1', (1, 114): 't2^-1', (2, 48): 'tau3^-1', (1, 116): 't2^-1*tau1^-1*t3', (0, 40): 't3^-1', (1, 106): 't3', (0, 32): 't2^-1', (1, 98): 't3^-1', (2, 29): 'tau3', (2, 30): 'tau3', (1, 90): 't2^-1', (2, 24): 'tau3', (2, 21): 'tau2^-1', (2, 22): 'tau2^-1', (2, 23): 't1^-1', (2, 16): 'tau2^-1', (1, 84): 'tau1^-1', (0, 8): 't2', (1, 76): 'tau1^-1', (0, 0): 't3', (0, 127): 't2*tau1*t3^-1', (2, 119): 'tau3^-1*t1^-1*tau2', (0, 119): 't2^-1*tau1^-1*t3', (2, 103): 'tau2*t1^-1*tau3^-1', (0, 95): 'tau1', (0, 87): 'tau1^-1'}