U-tiling: UQC2475
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1732 |
*2244 |
(2,5,5) |
{7,4} |
{4.3.4.4.4.3.4}{3.4.4.4} |
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
|
True
|
|
sqc9758
|
|
P42/mmc |
131 |
tetragonal |
{6,4} |
16 |
(2,5) |
G
|
False
|
|
sqc10274
|
|
I-42d |
122 |
tetragonal |
{7,4} |
16 |
(2,6) |
D
|
False
|
|
sqc4308
|
|
P-42m |
111 |
tetragonal |
{4,7} |
8 |
(2,5) |
Topological data
Vertex degrees | {7,4} |
2D vertex symbol | {4.3.4.4.4.3.4}{3.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<120.1:176:89 13 14 6 7 30 31 32 33 100 17 18 41 42 43 44 111 46 47 28 29 122 57 58 39 40 133 50 51 74 75 76 77 144 61 62 85 86 87 88 155 79 80 72 73 166 83 84 101 102 94 95 118 119 120 121 105 106 129 130 131 132 134 135 116 117 145 146 127 128 138 139 162 163 164 165 149 150 173 174 175 176 167 168 160 161 171 172,2 4 10 17 8 20 77 13 15 21 19 88 24 26 32 50 30 53 44 35 37 43 61 41 64 46 48 54 52 66 57 59 65 63 68 70 76 83 74 86 79 81 87 85 90 92 98 105 96 108 165 101 103 109 107 176 112 114 120 138 118 141 132 123 125 131 149 129 152 134 136 142 140 154 145 147 153 151 156 158 164 171 162 174 167 169 175 173,67 3 5 7 9 11 78 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 155 91 93 95 97 99 166 102 104 106 108 110 122 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 3 4 4 4 4 4 3 4 3 4 4 4 3 3 4 4 4 4 3 3 4 4 3,7 4 7 7 4 4 7 4 7 4 7 7 4 4 7 4> {(0, 144): 't3*tau2*t1^-1', (0, 120): 't2^-1', (0, 51): 't3', (1, 60): 't3*tau2*t1^-1', (0, 41): 't1', (0, 18): 't1^-1', (0, 53): 't3', (0, 62): 't3*tau2*t3', (0, 43): 't1', (1, 151): 't3*tau2*t1^-1', (0, 129): 'tau3^-1', (0, 119): 't2^-1', (0, 173): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 86): 't3^-1*tau2^-1*t3^-1', (0, 131): 'tau3^-1', (0, 140): 'tau1', (0, 57): 't3*tau2*t1^-1', (0, 130): 'tau3^-1', (0, 175): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 118): 't2^-1', (1, 126): 't1*tau2^-1*t3^-1', (0, 164): 'tau1^-1', (0, 145): 't3*tau2*t1^-1', (0, 63): 't3*tau2*t3', (1, 109): 't1^-1*tau2*t3', (1, 87): 't3^-1*tau2^-1*t1', (0, 52): 't3', (0, 161): 'tau1^-1', (0, 42): 't1', (0, 87): 't3^-1*tau2^-1*t3^-1', (0, 128): 'tau3^-1', (0, 141): 'tau1', (0, 54): 't3', (2, 165): 't3^-1*tau2^-1*t1', (0, 172): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 11): 't1^-1*tau2*t3', (0, 56): 't3*tau2*t1^-1', (0, 174): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 117): 't2^-1', (1, 63): 't3*tau2*t1^-1', }