U-tiling: UQC1259
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
|
False
|
|
sqc8912
|
|
P4/mmm |
123 |
tetragonal |
{6,3} |
16 |
(2,5) |
|
G
|
False
|
|
sqc8662
|
|
I4122 |
98 |
tetragonal |
{6,3} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2976
|
|
P4222 |
93 |
tetragonal |
{6,3} |
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
<40.5:144:19 4 5 42 88 89 27 28 13 14 51 70 71 36 22 23 60 106 107 31 32 78 97 98 55 40 41 124 125 63 73 49 50 115 116 81 58 59 142 143 91 67 68 114 99 76 77 133 134 100 85 86 123 108 94 95 132 103 104 141 127 112 113 135 136 121 122 144 130 131 139 140,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 58 42 45 47 52 76 51 54 56 61 60 63 65 70 94 69 72 74 79 78 81 83 88 103 87 90 92 97 96 99 101 106 105 108 110 115 130 114 117 119 124 139 123 126 128 133 132 135 137 142 141 144,10 3 5 24 8 18 12 14 33 17 28 21 23 26 36 30 32 35 64 39 41 60 44 72 82 48 50 78 53 90 91 57 59 62 99 66 68 96 71 100 75 77 80 108 84 86 105 89 93 95 98 102 104 107 118 111 113 132 116 126 120 122 141 125 136 129 131 134 144 138 140 143:3 8 4 3 8 4 8 8 3 4 3 4 3 3 3 3,6 3 3 6 6 3 6 3 6 3 6 3 6 3 3 6> {(0, 99): 'tau3^-1*t2', (2, 86): 't2^-1*tau3', (2, 27): 't1', (0, 134): 't1*tau3*t2^-1', (2, 53): 't2', (2, 95): 'tau2*t3', (0, 126): 'tau2*t3', (0, 53): 't2*tau3^-1', (0, 62): 'tau2^-1*t3^-1', (2, 45): 't2', (0, 117): 't2^-1*tau3*t1', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 140): 't1^-1*tau3^-1*t2', (2, 113): 't3^-1*tau2^-1', (0, 32): 't1', (2, 107): 'tau3^-1', (0, 140): 't1^-1', (2, 36): 't3', (0, 24): 't1^-1', (2, 44): 't3', (2, 125): 'tau1', (2, 99): 'tau3^-1', (0, 26): 't1^-1', (1, 66): 't3^-1*tau2^-1', (2, 54): 'tau2^-1', (1, 120): 't2^-1*tau3*t1', (2, 32): 't1', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 63): 't3^-1*tau2^-1', (1, 30): 't1', (2, 108): 'tau1^-1', (1, 111): 't3^-1*tau2^-1', (1, 102): 'tau3^-1*t2', (0, 25): 't1^-1', (0, 143): 'tau2^-1*t3^-1', (2, 62): 'tau2^-1', (2, 35): 't1', (0, 79): 't1^-1', (0, 27): 't1', (0, 132): 't1', }