U-tiling: UQC1094
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1003 |
*22222 |
(2,4,3) |
{3,6} |
{4.8.6}{6.8.8.6.8.8} |
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
|
|
sqc8460
|
|
I4122 |
98 |
tetragonal |
{6,3,3} |
20 |
(3,5) |
|
D
|
False
|
|
sqc2479
|
|
P4222 |
93 |
tetragonal |
{3,6} |
10 |
(2,4) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.6}{6.8.8.6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.5:144:19 4 5 42 43 89 90 28 13 14 51 52 71 72 22 23 60 61 107 108 31 32 78 79 98 99 55 40 41 125 126 73 49 50 116 117 58 59 143 144 91 67 68 114 115 76 77 134 135 100 85 86 123 124 94 95 132 133 103 104 141 142 127 112 113 136 121 122 130 131 139 140,2 21 6 9 8 11 30 15 18 17 20 24 27 26 29 33 36 35 38 57 42 45 44 47 75 51 54 53 56 60 63 62 65 93 69 72 71 74 78 81 80 83 102 87 90 89 92 96 99 98 101 105 108 107 110 129 114 117 116 119 138 123 126 125 128 132 135 134 137 141 144 143,10 3 5 7 9 12 14 16 18 28 21 23 25 27 30 32 34 36 64 39 41 43 45 82 48 50 52 54 91 57 59 61 63 66 68 70 72 100 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 118 111 113 115 117 120 122 124 126 136 129 131 133 135 138 140 142 144:8 6 4 8 6 4 4 4 6 6 8 8,6 3 3 3 3 6 3 6 3 3 3 3 3 3 3 6 3 3 3 3> {(2, 27): 't1', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 140): 't1^-1', (0, 133): 't1', (2, 72): 'tau3', (1, 20): 't1^-1', (0, 26): 't1^-1', (2, 54): 'tau2^-1', (1, 56): 'tau2^-1*t3^-1', (0, 63): 't3^-1*tau2^-1', (0, 141): 't1^-1', (0, 27): 't1', (0, 134): 't1', (1, 110): 't2*tau3^-1*t1^-1', (0, 126): 'tau2*t3', (2, 45): 't2', (0, 32): 't1', (2, 63): 't3^-1', (0, 135): 't1^-1*tau3^-1*t2', (1, 119): 't3*tau2', (0, 33): 't1', (2, 108): 'tau1^-1', (0, 99): 'tau3^-1*t2', (0, 25): 't1^-1', (1, 74): 'tau3*t2^-1', }