U-tiling: UQC4121
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1442 |
*22222 |
(3,6,2) |
{4,4,4} |
{6.4.4.6}{6.6.4.4}{6.6.6.6} |
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
|
|
sqc9296
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3} |
20 |
(3,6) |
|
G
|
False
|
|
sqc9579
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
20 |
(3,7) |
|
D
|
False
|
|
sqc3262
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
10 |
(3,6) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.4.4.6}{6.6.4.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.4:160:21 3 5 26 27 9 30 31 13 15 36 37 19 40 23 25 29 33 35 39 61 43 45 66 67 49 70 81 53 55 86 87 59 90 63 65 69 101 73 75 106 107 79 110 83 85 89 111 93 95 116 117 99 120 103 105 109 113 115 119 141 123 125 146 147 129 150 151 133 135 156 157 139 160 143 145 149 153 155 159,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80 82 88 86 87 90 92 98 96 97 100 102 108 106 107 110 112 118 116 117 120 122 128 126 127 130 132 138 136 137 140 142 148 146 147 150 152 158 156 157 160,11 4 5 16 47 48 49 100 14 15 57 58 59 80 31 24 25 36 67 68 69 120 34 35 87 88 89 110 71 44 45 76 140 91 54 55 96 130 101 64 65 106 160 74 75 127 128 129 111 84 85 116 150 94 95 137 138 139 104 105 147 148 149 114 115 157 158 159 131 124 125 136 134 135 151 144 145 156 154 155:6 4 6 4 6 4 6 4 6 4 6 4 6 4 6 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 'tau2^-1', (0, 59): 't2*tau3^-1', (0, 60): 'tau2^-1*t3^-1', (0, 50): 't2*tau3^-1', (2, 55): 't2', (2, 50): 't2', (2, 45): 't3', (2, 40): 't3', (0, 35): 't1', (2, 36): 't1', (2, 37): 't1', (2, 38): 't1', (0, 36): 't1', (2, 35): 't1', (2, 156): 't1^-1', (2, 29): 't1^-1', (2, 30): 't1', (0, 156): 't1^-1*tau3^-1*t2', (0, 29): 't1^-1', (2, 149): 't1', (2, 150): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 145): 'tau2*t3', (0, 150): 'tau2^-1*t3^-1', (0, 20): 't1^-1', (0, 149): 't1*tau3*t2^-1', (0, 139): 't3*tau2', (0, 140): 't1*tau3*t2^-1', (2, 117): 't1', (0, 135): 't2^-1*tau3*t1', (2, 130): 'tau1', (2, 125): 'tau1^-1', (0, 49): 't3*tau2', (0, 126): 't3^-1*tau2^-1', (0, 115): 'tau3^-1*t2', (2, 118): 't1', (0, 116): 'tau3^-1*t2', (2, 115): 'tau3^-1', (0, 106): 'tau2*t3', (2, 110): 'tau3^-1', (2, 105): 'tau2', (2, 155): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 75): 't3^-1*tau2^-1'}