U-tiling: UQC4634
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1494 |
*22222 |
(4,5,2) |
{4,4,3,3} |
{8.8.8.8}{8.8.8.8}{8.4.8}{8.8.4} |
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
|
|
sqc9874
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3,3} |
24 |
(4,5) |
G
|
False
|
|
sqc9878
|
|
I4122 |
98 |
tetragonal |
{4,4,3,3} |
24 |
(4,6) |
D
|
False
|
|
sqc3426
|
|
P42/mmc |
131 |
tetragonal |
{4,3,4,3} |
12 |
(4,5) |
Topological data
Vertex degrees | {4,4,3,3} |
2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.4.8}{8.8.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.5:160:11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 71 43 45 47 49 80 91 53 55 57 59 100 101 63 65 67 69 110 73 75 77 79 111 83 85 87 89 120 93 95 97 99 103 105 107 109 113 115 117 119 131 123 125 127 129 140 133 135 137 139 151 143 145 147 149 160 153 155 157 159,2 4 6 10 98 29 12 14 16 20 78 39 22 24 26 30 118 32 34 36 40 108 42 44 46 50 138 69 52 54 56 60 128 89 62 64 66 70 158 72 74 76 80 109 82 84 86 90 148 92 94 96 100 119 102 104 106 110 112 114 116 120 122 124 126 130 149 132 134 136 140 159 142 144 146 150 152 154 156 160,21 42 43 94 95 8 9 30 31 52 53 74 75 18 19 40 62 63 114 115 28 29 82 83 104 105 38 39 61 134 135 48 49 70 81 124 125 58 59 90 154 155 68 69 101 122 123 78 79 110 144 145 88 89 111 132 133 98 99 120 142 143 108 109 152 153 118 119 141 128 129 150 151 138 139 160 148 149 158 159:8 4 4 8 8 4 8 4 8 8 8 8,4 4 3 3 4 4 3 3 4 3 4 3 3 3 3 3 3 4 3 3 4 3 3 3> {(0, 59): 't2', (2, 23): 't1^-1', (0, 60): 'tau2^-1', (2, 59): 't2*tau3^-1', (0, 50): 't2', (0, 150): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 49): 't3', (1, 117): 't1', (2, 49): 't3*tau2', (0, 40): 't3', (1, 87): 't1^-1', (2, 32): 't1', (0, 39): 't1', (2, 29): 't1^-1', (2, 30): 't1', (2, 31): 't1', (2, 24): 't1^-1', (2, 149): 't1*tau3*t2^-1', (2, 150): 't1^-1*tau3^-1*t2', (2, 151): 't1^-1', (2, 144): 't1', (0, 20): 't1^-1', (0, 149): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 140): 'tau2*t3', (0, 139): 'tau1', (2, 139): 't3*tau2', (0, 130): 'tau1', (1, 58): 't2*tau3^-1', (1, 48): 't3*tau2', (2, 112): 't1', (2, 110): 'tau3^-1*t2', (0, 110): 'tau3^-1', (0, 109): 'tau2', (2, 100): 'tau2*t3', (0, 89): 'tau3', (1, 28): 't1^-1', (1, 158): 'tau2^-1*t3^-1', (1, 148): 't1*tau3*t2^-1', (2, 83): 't1^-1'}