U-tiling: UQC1096
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
|
|
sqc294
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
5 |
(2,3) |
|
G
|
False
|
|
sqc8927
|
|
Fddd |
70 |
orthorhombic |
{6,3,3} |
20 |
(3,5) |
|
D
|
False
|
|
sqc2783
|
|
Cmma |
67 |
orthorhombic |
{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 87 88 80 81 28 13 14 105 106 98 99 22 23 123 124 116 117 31 32 141 142 134 135 55 40 41 96 97 107 108 64 49 50 78 79 89 90 58 59 132 133 143 144 67 68 114 115 125 126 109 76 77 118 85 86 127 94 95 136 103 104 112 113 121 122 130 131 139 140,2 39 6 9 8 11 48 15 18 17 20 57 24 27 26 29 66 33 36 35 38 42 45 44 47 51 54 53 56 60 63 62 65 69 72 71 74 102 78 81 80 83 93 87 90 89 92 96 99 98 101 105 108 107 110 138 114 117 116 119 129 123 126 125 128 132 135 134 137 141 144 143,10 3 5 7 9 12 14 16 18 28 21 23 25 27 30 32 34 36 46 39 41 43 45 48 50 52 54 64 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144:8 6 4 8 6 4 6 4 6 4 8 8,6 3 3 6 3 3 3 3 3 3 6 3 3 3 3 6 3 3 3 3> {(0, 51): 't3^-1', (0, 124): 'tau2^-1', (0, 41): 't2^-1', (0, 62): 'tau3^-1', (0, 34): 'tau3', (0, 5): 't3', (2, 72): 'tau1', (0, 81): 't3^-1', (0, 26): 'tau2^-1', (0, 125): 'tau2^-1', (0, 42): 't2^-1', (0, 35): 'tau3', (0, 108): 't3^-1', (0, 6): 't3', (2, 117): 't3*tau1^-1*t2^-1', (0, 105): 't2^-1', (0, 126): 't2^-1', (1, 110): 'tau2*t1^-1*tau3^-1', (1, 56): 't1', (0, 14): 't2', (0, 135): 't2', (0, 61): 'tau3^-1', (1, 119): 'tau2^-1*t1*tau3', (0, 50): 't3^-1', (2, 81): 'tau1^-1', (0, 25): 'tau2^-1', (2, 126): 't2^-1*tau1^-1*t3', (1, 65): 't1', }