U-tiling: UQC1156
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1037 |
*22222 |
(2,5,3) |
{5,8} |
{4.4.3.4.4}{4.4.3.3.4.4.3.3} |
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
|
|
sqc8338
|
|
P4/mmm |
123 |
tetragonal |
{5,7} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8862
|
|
I4122 |
98 |
tetragonal |
{5,8} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2419
|
|
P4222 |
93 |
tetragonal |
{8,5} |
6 |
(2,5) |
Topological data
| Vertex degrees | {5,8} |
| 2D vertex symbol | {4.4.3.4.4}{4.4.3.3.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.5:144:19 38 39 6 7 44 18 28 47 48 15 16 53 56 57 24 25 62 36 74 75 33 34 80 55 42 43 72 73 51 52 90 60 61 99 91 110 111 69 70 116 78 79 108 100 119 120 87 88 125 128 129 96 97 134 137 138 105 106 143 127 114 115 126 136 123 124 132 133 144 141 142,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 68 44 45 47 49 86 53 54 56 58 95 62 63 65 67 71 72 74 76 104 80 81 83 85 89 90 92 94 98 99 101 103 107 108 110 112 122 116 117 119 121 125 126 128 130 140 134 135 137 139 143 144,10 3 5 7 89 27 12 14 16 71 36 28 21 23 25 107 30 32 34 98 64 39 41 43 125 63 82 48 50 52 116 81 91 57 59 61 143 66 68 70 99 100 75 77 79 134 84 86 88 108 93 95 97 102 104 106 118 111 113 115 135 120 122 124 144 136 129 131 133 138 140 142:4 4 3 4 4 4 3 4 3 3 3 4 4 3 4 4 4 4 3 3,5 8 8 5 5 8 5 8 5 5 5 5> {(0, 99): 'tau3^-1*t2', (1, 85): 't2^-1', (0, 29): 't1', (0, 126): 'tau2*t3', (2, 53): 't2*tau3^-1', (1, 121): 'tau1', (2, 25): 't1^-1', (0, 136): 't1^-1', (0, 53): 't2', (0, 62): 'tau2^-1', (2, 45): 't2', (2, 18): 't1^-1', (1, 130): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 34): 't1', (1, 40): 't3', (2, 133): 't1', (2, 63): 't3^-1', (1, 103): 'tau3^-1', (2, 117): 'tau1', (2, 8): 't1', (2, 125): 't3*tau2', (0, 135): 't1^-1*tau3^-1*t2', (2, 54): 'tau2^-1', (0, 125): 'tau1', (0, 142): 't1^-1', (1, 22): 't1^-1', (0, 28): 't1', (0, 137): 't1^-1', (0, 107): 'tau3^-1', (0, 63): 't3^-1*tau2^-1', (0, 27): 't1', (2, 126): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 134): 't1*tau3*t2^-1', (0, 35): 't1', (0, 44): 't3', (0, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 62): 'tau2^-1*t3^-1', (2, 99): 'tau3^-1', (1, 94): 'tau2', }