U-tiling: UQC3963
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1118 |
*22222 |
(3,5,2) |
{3,4,4} |
{12.3.12}{12.12.3.3}{12.12.12.12} |
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
|
|
sqc9120
|
|
I4122 |
98 |
tetragonal |
{3,4,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2510
|
|
P4222 |
93 |
tetragonal |
{4,3,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {3,4,4} |
| 2D vertex symbol | {12.3.12}{12.12.3.3}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.2:144:37 3 5 87 8 27 46 12 14 69 17 36 55 21 23 105 26 73 30 32 96 35 39 41 123 44 63 48 50 114 53 81 57 59 141 62 109 66 68 71 99 75 77 132 80 118 84 86 89 108 127 93 95 98 136 102 104 107 111 113 116 135 120 122 125 144 129 131 134 138 140 143,2 7 85 6 9 11 16 67 15 18 20 25 103 24 27 29 34 94 33 36 38 43 121 42 45 47 52 112 51 54 56 61 139 60 63 65 70 69 72 74 79 130 78 81 83 88 87 90 92 97 96 99 101 106 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,82 4 5 24 25 26 18 64 13 14 33 34 35 100 22 23 36 91 31 32 118 40 41 60 61 62 72 109 49 50 78 79 80 90 136 58 59 99 67 68 96 97 98 127 76 77 108 85 86 105 106 107 94 95 103 104 112 113 132 133 134 126 121 122 141 142 143 130 131 144 139 140:12 3 12 3 3 3 3 3 3 12 3 12,3 4 4 3 4 3 3 3 4 4 3 4 4 3 4 3 4 4 4 4> {(2, 60): 'tau2^-1*t3^-1', (2, 61): 'tau2^-1*t3^-1', (2, 62): 'tau2^-1', (2, 59): 'tau2^-1*t3^-1', (2, 52): 't2*tau3^-1', (2, 53): 't2', (2, 107): 'tau3^-1', (2, 50): 't2*tau3^-1', (2, 51): 't2*tau3^-1', (2, 44): 't3', (0, 35): 't1', (1, 102): 't1', (0, 27): 't1', (2, 24): 't1^-1', (2, 25): 't1^-1', (2, 23): 't1^-1', (0, 23): 't1^-1', (2, 18): 't1^-1', (2, 140): 'tau2^-1*t3^-1', (2, 141): 'tau2^-1*t3^-1', (1, 75): 't1^-1', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 143): 't1^-1*tau3^-1*t2', (2, 132): 't1*tau3*t2^-1', (0, 131): 't1', (2, 35): 't1', (0, 134): 'tau2*t3', (2, 131): 't1*tau3*t2^-1', (2, 124): 't3*tau2', (2, 125): 'tau1', (2, 126): 't1', (0, 107): 'tau3^-1*t2', (2, 133): 't1*tau3*t2^-1', (0, 98): 'tau2*t3', (0, 99): 't1'}