U-tiling: UQC2014
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1645 |
*2244 |
(2,5,4) |
{4,12} |
{4.4.3.8}{3.4.4.3.4.4.3.4.4.3.4.4} |
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
|
|
sqc9985
|
|
P42/mmc |
131 |
tetragonal |
{10,4} |
18 |
(2,5) |
|
G
|
False
|
|
sqc10170
|
|
I-42d |
122 |
tetragonal |
{12,4,4} |
18 |
(3,6) |
|
D
|
False
|
|
sqc4038
|
|
P-42m |
111 |
tetragonal |
{4,12} |
9 |
(2,5) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.4.3.8}{3.4.4.3.4.4.3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.1:176:89 4 5 94 95 19 20 32 33 100 15 16 105 106 43 44 111 26 27 116 117 52 53 122 37 38 127 128 63 64 133 48 49 138 139 76 77 144 59 60 149 150 87 88 155 70 71 160 161 85 86 166 81 82 171 172 92 93 107 108 120 121 103 104 131 132 114 115 140 141 125 126 151 152 136 137 164 165 147 148 175 176 158 159 173 174 169 170,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 69 50 55 52 54 57 80 61 66 63 65 68 72 77 74 76 79 83 88 85 87 90 113 94 99 96 98 101 124 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 157 138 143 140 142 145 168 149 154 151 153 156 160 165 162 164 167 171 176 173 175,67 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 8 4 3 4 4 4 4 4 3 4 3 4 4 4 3 8 3 3 3,12 4 4 4 4 4 4 4 4 12 4 4 4 4 4 4 4 4> {(1, 123): 'tau3^-1', (1, 46): 't3', (0, 150): 't3*tau2*t1^-1', (0, 63): 't3*tau2*t1^-1', (0, 42): 't1', (0, 151): 't3*tau2*t1^-1', (2, 11): 't1^-1*tau2*t3', (2, 165): 't3^-1*tau2^-1*t1', (1, 156): 'tau1^-1', (0, 130): 'tau3^-1', (0, 163): 'tau1^-1', (0, 174): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 62): 't3*tau2*t1^-1', (1, 90): 't2', (0, 53): 't3', (0, 43): 't1', (1, 79): 't3^-1*tau2^-1*t3^-1', (0, 119): 't2^-1', (0, 86): 't3^-1*tau2^-1*t3^-1', (0, 131): 'tau3^-1', (1, 167): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 175): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 164): 'tau1^-1', (1, 35): 't1', (0, 87): 't3^-1*tau2^-1*t3^-1', (0, 54): 't3', (0, 120): 't2^-1', }