U-tiling: UQC1430
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
|
False
|
|
sqc8849
|
|
P4/mmm |
123 |
tetragonal |
{7,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc8852
|
|
I4122 |
98 |
tetragonal |
{7,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2902
|
|
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
<48.5:144:19 38 39 85 86 8 9 28 47 48 67 68 17 18 56 57 103 104 26 27 74 75 94 95 35 36 55 121 122 44 45 73 112 113 53 54 139 140 62 63 91 110 111 71 72 130 131 80 81 100 119 120 89 90 128 129 98 99 137 138 107 108 127 116 117 136 125 126 134 135 143 144,2 4 6 16 89 27 11 13 15 71 36 20 22 24 34 107 29 31 33 98 38 40 42 70 125 63 47 49 51 88 116 81 56 58 60 97 143 65 67 69 99 74 76 78 106 134 83 85 87 108 92 94 96 101 103 105 110 112 114 124 135 119 121 123 144 128 130 132 142 137 139 141,10 3 5 7 9 12 14 16 18 28 21 23 25 27 30 32 34 36 64 39 41 43 45 82 48 50 52 54 91 57 59 61 63 66 68 70 72 100 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 118 111 113 115 117 120 122 124 126 136 129 131 133 135 138 140 142 144:4 4 3 4 4 4 3 4 3 4 3 3 4 3 4 3 4 3 4 4,7 4 4 7 7 4 7 4 7 7 7 7> {(2, 27): 't1', (0, 126): 'tau2*t3', (2, 117): 'tau1', (1, 87): 't2^-1', (1, 26): 't1^-1', (0, 136): 't1^-1', (1, 123): 'tau1', (2, 45): 't2', (0, 29): 't1', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 79): 't1^-1', (0, 22): 't1^-1', (2, 63): 't3^-1', (1, 106): 't1', (2, 99): 'tau3^-1', (1, 62): 'tau2^-1*t3^-1', (1, 33): 't1', (0, 135): 't1^-1*tau3^-1*t2', (2, 54): 'tau2^-1', (0, 28): 't1', (0, 137): 't1^-1', (1, 53): 't2*tau3^-1', (0, 63): 't3^-1*tau2^-1', (0, 21): 't1^-1', (0, 75): 't1^-1', (1, 141): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 69): 't3^-1', (0, 99): 'tau3^-1*t2', (1, 105): 'tau3^-1', (0, 130): 't1', (1, 125): 't3*tau2', (1, 96): 'tau2', (0, 27): 't1', (1, 116): 't2*tau3^-1*t1^-1', }