U-tiling: UQC1266
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1055 |
*22222 |
(2,5,3) |
{6,3} |
{4.8.3.3.8.4}{8.8.3} |
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
|
|
sqc2161
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
8 |
(2,4) |
|
G
|
False
|
|
sqc8698
|
|
I4122 |
98 |
tetragonal |
{6,3} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2677
|
|
P4222 |
93 |
tetragonal |
{3,6} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.3.3.8.4}{8.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<40.4:144:10 4 5 24 43 44 90 13 14 33 52 53 72 28 22 23 61 62 108 31 32 79 80 99 64 40 41 60 126 82 49 50 78 117 91 58 59 144 67 68 96 115 116 100 76 77 135 85 86 105 124 125 94 95 133 134 103 104 142 143 118 112 113 132 121 122 141 136 130 131 139 140,2 7 13 6 9 11 16 15 18 20 25 31 24 27 29 34 33 36 38 43 67 42 45 47 52 85 51 54 56 61 94 60 63 65 70 69 72 74 79 103 78 81 83 88 87 90 92 97 96 99 101 106 105 108 110 115 121 114 117 119 124 123 126 128 133 139 132 135 137 142 141 144,19 3 5 15 8 27 28 12 14 17 36 21 23 33 26 30 32 35 55 39 41 69 44 63 73 48 50 87 53 81 57 59 96 62 91 66 68 71 99 75 77 105 80 100 84 86 89 108 93 95 98 102 104 107 127 111 113 123 116 135 136 120 122 125 144 129 131 141 134 138 140 143:3 8 4 8 4 3 4 4 3 3 3 8 3 8 3 3,6 3 6 3 6 3 6 3 3 6 3 6 6 3 6 3> {(1, 21): 't1^-1', (0, 134): 't1', (2, 53): 't2*tau3^-1', (2, 117): 't3*tau2', (0, 72): 'tau3', (1, 48): 't2', (1, 39): 't3', (2, 45): 't2*tau3^-1', (2, 18): 't1^-1', (2, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 113): 'tau1^-1', (0, 32): 't1', (0, 45): 't2', (0, 140): 't1^-1*tau3^-1*t2', (0, 34): 't1', (2, 41): 't3', (1, 93): 'tau2', (0, 142): 't1^-1', (0, 26): 't1^-1', (0, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 54): 'tau2^-1*t3^-1', (2, 59): 'tau2^-1', (2, 32): 't1', (2, 26): 't1^-1', (2, 143): 'tau2^-1*t3^-1', (0, 63): 't3^-1', (0, 104): 'tau3^-1*t2', (0, 95): 'tau2*t3', (2, 50): 't2', (0, 33): 't1', (1, 111): 'tau1^-1', (2, 134): 't1*tau3*t2^-1', (0, 141): 't1^-1', (0, 54): 'tau2^-1', (1, 102): 'tau3^-1', (1, 138): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 62): 'tau2^-1*t3^-1', (2, 126): 't1*tau3*t2^-1', (2, 104): 'tau3^-1', (0, 27): 't1', (0, 117): 'tau1', (0, 113): 't3^-1*tau2^-1', }