U-tiling: UQC1247
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
|
|
sqc2477
|
|
P4/mmm |
123 |
tetragonal |
{6,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc8877
|
|
I4122 |
98 |
tetragonal |
{6,3} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2970
|
|
P4222 |
93 |
tetragonal |
{6,3} |
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
<41.5:144:19 4 5 87 88 89 27 28 13 14 69 70 71 36 22 23 105 106 107 31 32 96 97 98 55 40 41 123 124 125 63 73 49 50 114 115 116 81 58 59 141 142 143 91 67 68 99 76 77 132 133 134 100 85 86 108 94 95 103 104 127 112 113 135 136 121 122 144 130 131 139 140,2 7 40 6 9 11 16 49 15 18 20 25 58 24 27 29 34 76 33 36 38 43 42 45 47 52 51 54 56 61 60 63 65 70 112 69 72 74 79 78 81 83 88 121 87 90 92 97 130 96 99 101 106 139 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,10 3 5 42 8 18 12 14 51 17 28 21 23 60 26 36 30 32 78 35 64 39 41 44 72 82 48 50 53 90 91 57 59 62 99 66 68 114 71 100 75 77 80 108 84 86 123 89 93 95 132 98 102 104 141 107 118 111 113 116 126 120 122 125 136 129 131 134 144 138 140 143:6 4 4 6 4 4 4 4 4 4 4 4 4 6 4 6,6 3 3 6 3 3 6 6 6 3 6 3 3 3 6 6> {(0, 99): 'tau3^-1*t2', (0, 78): 't1^-1', (2, 27): 't1', (0, 134): 't1*tau3*t2^-1', (2, 53): 't2', (0, 126): 'tau2*t3', (0, 53): 't2*tau3^-1', (0, 62): 'tau2^-1*t3^-1', (2, 45): 't2', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 140): 't1^-1', (0, 79): 't1^-1', (2, 107): 'tau3^-1', (2, 63): 't3^-1', (0, 24): 't1^-1', (1, 75): 't1^-1', (2, 125): 'tau1', (2, 99): 'tau3^-1', (0, 26): 't1^-1', (0, 135): 't1^-1*tau3^-1*t2', (2, 54): 'tau2^-1', (2, 32): 't1', (0, 63): 't3^-1*tau2^-1', (2, 108): 'tau1^-1', (2, 44): 't3', (0, 23): 't1^-1', (2, 134): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 77): 't1^-1', (1, 102): 't1', (0, 25): 't1^-1', (0, 143): 'tau2^-1*t3^-1', (2, 62): 'tau2^-1', (2, 35): 't1', (0, 27): 't1', }