U-tiling: UQC1262
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1055 |
*22222 |
(2,5,3) |
{6,3} |
{4.8.3.3.8.4}{8.8.3} |
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) |
|
G
|
False
|
|
sqc9033
|
|
I4122 |
98 |
tetragonal |
{6,3} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2978
|
|
P4222 |
93 |
tetragonal |
{3,6} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.3.3.8.4}{8.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<40.2:144:82 4 5 24 16 17 27 64 13 14 33 36 100 22 23 34 35 91 31 32 118 40 41 60 70 71 63 109 49 50 78 88 89 81 136 58 59 97 98 67 68 96 99 127 76 77 106 107 85 86 105 108 94 95 103 104 112 113 132 124 125 135 121 122 141 144 130 131 142 143 139 140,2 7 85 6 9 11 16 67 15 18 20 25 103 24 27 29 34 94 33 36 38 43 121 42 45 47 52 112 51 54 56 61 139 60 63 65 70 69 72 74 79 130 78 81 83 88 87 90 92 97 96 99 101 106 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,37 3 5 87 8 45 46 12 14 69 17 54 55 21 23 105 26 63 73 30 32 96 35 81 39 41 123 44 48 50 114 53 57 59 141 62 109 66 68 71 117 75 77 132 80 118 84 86 89 126 127 93 95 98 135 136 102 104 107 144 111 113 116 120 122 125 129 131 134 138 140 143:3 8 4 3 3 3 3 8 4 3 8 4 3 3 8 4,6 3 6 3 6 3 6 3 3 3 3 6 3 6 6 6> {(2, 27): 't1', (0, 134): 'tau2*t3', (0, 51): 't2', (0, 60): 'tau2^-1', (0, 105): 'tau3^-1', (0, 18): 't1^-1', (0, 107): 'tau3^-1*t2', (0, 126): 't1', (0, 43): 't3', (2, 135): 't1^-1', (0, 79): 'tau3', (0, 131): 't1*tau3*t2^-1', (0, 140): 'tau2^-1*t3^-1', (0, 98): 'tau2*t3', (0, 34): 't1', (2, 131): 't1', (1, 75): 't1^-1', (0, 59): 'tau2^-1*t3^-1', (0, 133): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 23): 't1^-1', (0, 124): 'tau1', (0, 61): 'tau2^-1', (2, 143): 't1^-1', (0, 50): 't2*tau3^-1', (0, 123): 'tau1', (0, 52): 't2', (0, 33): 't1', (0, 42): 't3', (0, 23): 't1^-1', (0, 141): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 102): 't1', (0, 17): 't1^-1', (0, 143): 't1^-1*tau3^-1*t2', (2, 35): 't1', }