U-tiling: UQC1431
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc921 |
*22222 |
(2,4,4) |
{7,4} |
{4.4.3.4.3.4.4}{3.4.3.4} |
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
|
|
sqc7958
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc8656
|
|
I4122 |
98 |
tetragonal |
{7,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2671
|
|
P4222 |
93 |
tetragonal |
{7,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.3.4.3.4.4}{3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<48.2:144:82 20 21 13 14 8 9 64 29 30 17 18 100 31 32 26 27 91 35 36 118 56 57 67 68 44 45 109 74 75 85 86 53 54 136 94 95 62 63 92 93 71 72 127 103 104 80 81 101 102 89 90 98 99 107 108 128 129 121 122 116 117 137 138 125 126 139 140 134 135 143 144,2 4 6 43 17 27 11 13 15 52 36 20 22 24 61 35 29 31 33 79 38 40 42 71 63 47 49 51 89 81 56 58 60 98 65 67 69 115 99 74 76 78 107 83 85 87 124 108 92 94 96 133 101 103 105 142 110 112 114 125 135 119 121 123 144 128 130 132 143 137 139 141,37 3 5 7 9 46 12 14 16 18 55 21 23 25 27 73 30 32 34 36 39 41 43 45 48 50 52 54 57 59 61 63 109 66 68 70 72 75 77 79 81 118 84 86 88 90 127 93 95 97 99 136 102 104 106 108 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144:4 4 3 4 4 4 3 4 4 3 4 4 3 3 4 3 4 4 3 3,7 4 7 7 7 4 4 7 7 7 7 4> {(0, 39): 't3', (0, 103): 'tau3^-1', (2, 27): 't1', (0, 121): 'tau1', (0, 18): 't1^-1', (0, 31): 't1', (0, 136): 'tau2^-1*t3^-1', (0, 110): 't2*tau3^-1*t1^-1', (0, 102): 'tau3^-1', (0, 20): 't1^-1', (0, 129): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 79): 'tau3', (0, 55): 'tau2^-1*t3^-1', (1, 78): 't1^-1', (1, 35): 't1', (1, 70): 't3^-1', (0, 57): 'tau2^-1', (0, 47): 't2*tau3^-1', (1, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 97): 'tau2', (0, 111): 'tau1^-1', (0, 48): 't2', (0, 38): 't3*tau2', (0, 19): 't1^-1', (1, 89): 't2^-1*tau3', (0, 137): 'tau2^-1*t3^-1', (1, 116): 't3^-1*tau2^-1', (0, 127): 't1*tau3*t2^-1', (0, 40): 't3', (1, 88): 't2^-1', (0, 30): 't1', (0, 139): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 72): 't1^-1', (1, 115): 'tau1^-1', (1, 105): 't1', (1, 34): 't1', (1, 71): 't3^-1*tau2^-1', (1, 125): 't2^-1*tau3*t1', (2, 99): 't1', (0, 46): 't2*tau3^-1', (0, 49): 't2', (0, 58): 'tau2^-1', }