U-tiling: UQC1097
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) |
|
P
|
False
|
|
sqc2781
|
|
Fmmm |
69 |
orthorhombic |
{6,3} |
10 |
(2,4) |
|
G
|
False
|
|
sqc8717
|
|
Fddd |
70 |
orthorhombic |
{6,3,3} |
20 |
(3,5) |
|
D
|
False
|
|
sqc294
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
5 |
(2,3) |
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
<1.2:144:73 4 5 42 43 17 18 91 13 14 51 52 109 22 23 60 61 35 36 127 31 32 69 70 100 40 41 53 54 82 49 50 136 58 59 71 72 118 67 68 76 77 105 106 98 99 85 86 96 97 107 108 94 95 103 104 112 113 141 142 134 135 121 122 132 133 143 144 130 131 139 140,2 21 6 9 8 11 30 15 18 17 20 24 27 26 29 33 36 35 38 57 42 45 44 47 66 51 54 53 56 60 63 62 65 69 72 71 74 111 78 81 80 83 120 87 90 89 92 129 96 99 98 101 138 105 108 107 110 114 117 116 119 123 126 125 128 132 135 134 137 141 144 143,82 3 5 7 9 100 12 14 16 18 118 21 23 25 27 136 30 32 34 36 91 39 41 43 45 73 48 50 52 54 127 57 59 61 63 109 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144:8 6 4 8 8 4 8 6 6 4 6 4,6 3 6 3 3 3 6 3 6 3 3 3 3 3 3 3 3 3 3 3> {(0, 18): 'tau2^-1', (0, 107): 'tau1', (0, 140): 'tau3*t1*tau2^-1', (2, 36): 't2^-1', (0, 133): 't2^-1*tau1^-1*t3', (0, 59): 't1', (0, 63): 'tau2', (0, 97): 'tau1^-1', (0, 141): 'tau3*t1*tau2^-1', (2, 99): 't2^-1', (0, 27): 'tau3', (2, 0): 't3', (0, 60): 't1', (1, 110): 't3^-1', (2, 45): 't3^-1', (0, 32): 't1^-1', (0, 131): 'tau3^-1*t1^-1*tau2', (1, 101): 't2^-1', (0, 98): 'tau1^-1', (0, 142): 't2*tau1*t3^-1', (1, 119): 't3', (0, 116): 't3^-1*tau1*t2', (0, 33): 't1^-1', (0, 106): 'tau1', (0, 54): 'tau3^-1', (1, 92): 't2', (0, 143): 't2*tau1*t3^-1', (0, 132): 'tau3^-1*t1^-1*tau2', }