U-tiling: UQC1228
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1050 |
*22222 |
(2,5,3) |
{12,3} |
{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3} |
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) |
|
P
|
True
|
|
sqc102
|
|
Pmmm |
47 |
orthorhombic |
{10,3} |
3 |
(2,5) |
|
G
|
False
|
|
sqc8523
|
|
Fddd |
70 |
orthorhombic |
{12,3} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2523
|
|
Cmma |
67 |
orthorhombic |
{12,3} |
6 |
(2,5) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.4:144:10 4 5 24 25 26 90 13 14 33 34 35 108 28 22 23 126 31 32 144 46 40 41 60 61 62 99 49 50 69 70 71 81 64 58 59 135 67 68 117 91 76 77 114 115 116 100 85 86 123 124 125 94 95 132 133 134 103 104 141 142 143 127 112 113 136 121 122 130 131 139 140,2 7 13 6 9 11 16 15 18 20 25 31 24 27 29 34 33 36 38 43 49 42 45 47 52 51 54 56 61 67 60 63 65 70 69 72 74 79 94 78 81 83 88 103 87 90 92 97 96 99 101 106 105 108 110 115 130 114 117 119 124 139 123 126 128 133 132 135 137 142 141 144,37 3 5 15 8 81 46 12 14 17 99 55 21 23 33 26 117 64 30 32 35 135 39 41 51 44 108 48 50 53 90 57 59 69 62 144 66 68 71 126 100 75 77 96 80 91 84 86 105 89 93 95 98 102 104 107 136 111 113 132 116 127 120 122 141 125 129 131 134 138 140 143:3 4 4 4 4 3 3 4 4 4 4 3 3 4 3 4 4 4 3 3,12 3 12 12 3 12 3 3 3 3 3 3> {(2, 86): 'tau1^-1', (0, 124): 't3', (0, 8): 't3', (0, 53): 't3^-1', (0, 126): 't2^-1*tau1^-1*t3', (2, 135): 'tau3*t1*tau2^-1', (2, 140): 't2*tau1*t3^-1', (0, 131): 't2^-1', (0, 140): 't2', (2, 63): 't1', (2, 126): 'tau3^-1*t1^-1*tau2', (1, 93): 'tau1^-1', (2, 131): 't2^-1*tau1^-1*t3', (0, 142): 't2', (0, 123): 't3', (0, 133): 't2^-1', (0, 17): 't2', (0, 90): 'tau1^-1', (0, 135): 't2*tau1*t3^-1', (2, 54): 't1', (1, 120): 't3*tau1^-1*t2^-1', (2, 26): 'tau2^-1', (0, 114): 't3^-1', (2, 125): 'tau2^-1', (1, 84): 'tau1^-1', (1, 111): 't3^-1*tau1*t2', (0, 141): 't2', (0, 99): 'tau1', (0, 44): 't2^-1', (2, 95): 'tau1^-1', (0, 79): 't3', (2, 62): 'tau3^-1', (2, 35): 'tau3', (0, 132): 't2^-1', (0, 113): 't3^-1', (0, 122): 't3', }