U-tiling: UQC1426
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) |
|
G
|
False
|
|
sqc8429
|
|
I4122 |
98 |
tetragonal |
{7,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2414
|
|
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
<48.4:144:10 20 21 40 41 8 9 29 30 49 50 17 18 28 58 59 26 27 76 77 35 36 64 56 57 44 45 82 74 75 53 54 91 62 63 92 93 112 113 71 72 100 80 81 101 102 121 122 89 90 130 131 98 99 139 140 107 108 118 128 129 116 117 137 138 125 126 136 134 135 143 144,2 4 6 25 44 90 11 13 15 34 53 72 20 22 24 62 108 29 31 33 80 99 38 40 42 61 126 47 49 51 79 117 56 58 60 144 65 67 69 97 116 74 76 78 135 83 85 87 106 125 92 94 96 134 101 103 105 143 110 112 114 133 119 121 123 142 128 130 132 137 139 141,19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 73 48 50 52 54 57 59 61 63 91 66 68 70 72 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144:4 4 3 4 4 3 4 3 3 4 4 4 4 4 3 4 3 3 3 4,7 4 7 4 4 4 7 7 7 7 7 7> {(0, 29): 't1', (2, 117): 't3*tau2', (0, 31): 't1', (0, 136): 't1^-1*tau3^-1*t2', (0, 117): 'tau1', (1, 123): 't3*tau2', (2, 45): 't2*tau3^-1', (2, 18): 't1^-1', (1, 79): 't1^-1', (1, 114): 't2*tau3^-1*t1^-1', (0, 45): 't2', (1, 60): 'tau2^-1*t3^-1', (1, 106): 't1', (0, 100): 'tau3^-1*t2', (0, 92): 'tau2*t3', (0, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 54): 'tau2^-1*t3^-1', (0, 102): 't1', (0, 83): 't2^-1*tau3', (0, 28): 't1', (0, 137): 't1^-1*tau3^-1*t2', (0, 63): 't3^-1', (0, 91): 'tau2*t3', (1, 80): 't1^-1', (0, 30): 't1', (0, 139): 't1^-1', (0, 109): 't3^-1*tau2^-1', (1, 24): 't1^-1', (0, 128): 'tau2*t3', (1, 51): 't2*tau3^-1', (0, 54): 'tau2^-1', (0, 72): 'tau3', (2, 126): 't1*tau3*t2^-1', (1, 107): 't1', (0, 27): 't1', }