U-tiling: UQC1242
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1052 |
*22222 |
(2,5,3) |
{6,3} |
{4.4.6.6.4.4}{4.4.6} |
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
|
|
sqc9036
|
|
P4/mmm |
123 |
tetragonal |
{6,3} |
16 |
(2,5) |
|
G
|
False
|
|
sqc9041
|
|
I4122 |
98 |
tetragonal |
{6,3} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2977
|
|
P4222 |
93 |
tetragonal |
{3,6} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.4.6.6.4.4}{4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<41.2:144:82 4 5 15 16 17 27 64 13 14 36 100 22 23 33 34 35 91 31 32 118 40 41 69 70 71 63 109 49 50 87 88 89 81 136 58 59 96 97 98 67 68 99 127 76 77 105 106 107 85 86 108 94 95 103 104 112 113 123 124 125 135 121 122 144 130 131 141 142 143 139 140,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 58 42 45 47 52 76 51 54 56 61 60 63 65 70 94 69 72 74 79 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 24 8 45 46 12 14 33 17 54 55 21 23 26 63 73 30 32 35 81 39 41 60 44 48 50 78 53 57 59 62 109 66 68 96 71 117 75 77 80 118 84 86 105 89 126 127 93 95 98 135 136 102 104 107 144 111 113 132 116 120 122 141 125 129 131 134 138 140 143:6 4 4 6 4 6 4 4 6 4 4 4 4 4 4 4,6 3 6 3 6 6 3 3 6 3 6 3 6 6 3 3> {(1, 21): 't1^-1', (2, 27): 't1', (0, 134): 'tau2*t3', (0, 51): 't2', (0, 60): 'tau2^-1', (0, 41): 't3', (0, 18): 't1^-1', (0, 126): 't1', (0, 107): 'tau3^-1*t2', (1, 48): 't2*tau3^-1', (0, 34): 't1', (0, 43): 't3', (1, 120): 't3*tau2', (0, 52): 't2', (2, 113): 't2*tau3^-1*t1^-1', (0, 32): 't1', (0, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 98): 'tau2*t3', (1, 39): 't3*tau2', (2, 41): 't3*tau2', (0, 42): 't3', (0, 59): 'tau2^-1', (2, 99): 't1', (2, 23): 't1^-1', (0, 124): 'tau1', (0, 61): 'tau2^-1', (0, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 105): 'tau3^-1', (2, 143): 't1^-1', (0, 50): 't2', (0, 123): 'tau1', (0, 106): 'tau3^-1', (2, 50): 't2*tau3^-1', (0, 33): 't1', (1, 111): 't2*tau3^-1*t1^-1', (0, 141): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 35): 't1', (2, 140): 'tau2^-1*t3^-1', (0, 104): 'tau3^-1', (0, 143): 't1^-1*tau3^-1*t2', (2, 35): 't1', (0, 122): 'tau1', }