U-tiling: UQC1981
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1635 |
*22222 |
(2,5,4) |
{4,6} |
{4.4.6.4}{6.4.4.6.4.4} |
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
|
|
sqc3989
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
10 |
(2,5) |
|
G
|
False
|
|
sqc10343
|
|
I4122 |
98 |
tetragonal |
{6,4,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc4473
|
|
P4222 |
93 |
tetragonal |
{4,6} |
10 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.6.4}{6.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.3:176:23 4 5 28 29 19 20 32 33 34 15 16 39 40 43 44 26 27 41 42 37 38 67 48 49 72 73 85 86 76 77 89 59 60 94 95 107 108 98 99 70 71 118 119 111 81 82 116 117 120 121 92 93 129 130 122 103 104 127 128 131 132 114 115 125 126 155 136 137 160 161 151 152 164 165 166 147 148 171 172 175 176 158 159 173 174 169 170,2 47 6 11 8 10 13 58 17 22 19 21 24 69 28 33 30 32 35 91 39 44 41 43 46 50 55 52 54 57 61 66 63 65 68 72 77 74 76 79 135 83 88 85 87 90 94 99 96 98 101 146 105 110 107 109 112 157 116 121 118 120 123 168 127 132 129 131 134 138 143 140 142 145 149 154 151 153 156 160 165 162 164 167 171 176 173 175,100 3 5 7 9 11 78 14 16 18 20 22 122 25 27 29 31 33 111 36 38 40 42 44 144 47 49 51 53 55 133 58 60 62 64 66 166 69 71 73 75 77 80 82 84 86 88 155 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 6 4 4 4 6 4 4 4 4 4 4 4 6 4 6 4 4 4 4,6 4 6 4 6 4 6 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 41): 't1', (0, 117): 'tau2', (0, 129): 'tau3^-1', (0, 55): 't2*tau3^-1', (0, 173): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 22): 't1^-1', (0, 154): 't1*tau3*t2^-1', (0, 63): 't2', (0, 42): 't1', (0, 151): 'tau1', (0, 118): 'tau2', (0, 163): 'tau2*t3', (0, 130): 'tau3^-1*t2', (0, 174): 't1^-1*tau3^-1*t2', (0, 27): 't1^-1', (2, 22): 't1^-1', (1, 123): 't1', (0, 159): 't1*tau3*t2^-1', (0, 171): 'tau2^-1*t3^-1', (0, 164): 'tau2*t3', (0, 61): 't2*tau3^-1', (1, 35): 't1', (0, 28): 't1^-1', (0, 40): 't1', (2, 88): 't1^-1', (0, 128): 'tau3^-1', (0, 172): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 51): 't3', (0, 62): 't2', (0, 150): 'tau1', (0, 52): 't3', (0, 170): 'tau2^-1*t3^-1', (0, 49): 't3*tau2', (0, 60): 't2*tau3^-1', (0, 43): 't1', (0, 119): 'tau2*t3', (0, 160): 't1*tau3*t2^-1', (0, 131): 'tau3^-1*t2', (0, 175): 't1^-1*tau3^-1*t2', (0, 50): 't3*tau2', (0, 44): 't3*tau2', (0, 120): 'tau2*t3', (0, 165): 'tau2^-1*t3^-1', }