U-tiling: UQC1191
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1043 |
*22222 |
(2,5,3) |
{5,4} |
{4.8.3.8.4}{8.8.3.3} |
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
|
|
sqc8062
|
|
P4/mmm |
123 |
tetragonal |
{4,4} |
16 |
(2,5) |
|
G
|
False
|
|
sqc8723
|
|
I4122 |
98 |
tetragonal |
{5,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2681
|
|
P42/mmc |
131 |
tetragonal |
{5,4} |
8 |
(2,5) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.8.3.8.4}{8.8.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<45.2:144:82 20 21 6 7 17 45 64 29 30 15 16 54 100 24 25 35 63 91 33 34 81 118 56 57 42 43 71 109 74 75 51 52 89 136 60 61 98 92 93 69 70 117 127 78 79 107 101 102 87 88 126 96 97 135 105 106 144 128 129 114 115 125 137 138 123 124 132 133 143 141 142,2 4 41 8 9 11 13 50 17 18 20 22 59 26 27 29 31 77 35 36 38 40 44 45 47 49 53 54 56 58 62 63 65 67 113 71 72 74 76 80 81 83 85 122 89 90 92 94 131 98 99 101 103 140 107 108 110 112 116 117 119 121 125 126 128 130 134 135 137 139 143 144,37 3 5 7 26 27 46 12 14 16 35 36 55 21 23 25 73 30 32 34 39 41 43 62 63 48 50 52 80 81 57 59 61 109 66 68 70 98 99 75 77 79 118 84 86 88 107 108 127 93 95 97 136 102 104 106 111 113 115 134 135 120 122 124 143 144 129 131 133 138 140 142:4 8 3 4 3 3 3 4 8 4 8 3 3 3 3 8,5 4 5 4 5 5 4 4 5 4 5 4 5 5 4 4> {(2, 97): 'tau2*t3', (2, 27): 't1', (0, 124): 'tau1', (0, 18): 't1^-1', (2, 89): 't2^-1*tau3', (2, 142): 't1^-1*tau3^-1*t2', (2, 115): 't3^-1*tau2^-1', (0, 126): 't1', (0, 43): 't3', (0, 20): 't1^-1', (0, 55): 'tau2^-1*t3^-1', (0, 34): 't1', (1, 103): 't1', (0, 47): 't2*tau3^-1', (0, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 34): 't1', (0, 119): 't3*tau2', (0, 61): 'tau2^-1', (0, 110): 't2*tau3^-1*t1^-1', (0, 19): 't1^-1', (2, 143): 't1^-1*tau3^-1*t2', (1, 76): 't1^-1', (0, 127): 't1*tau3*t2^-1', (2, 98): 'tau2*t3', (0, 52): 't2', (0, 106): 'tau3^-1', (2, 17): 't1^-1', (2, 134): 'tau2*t3', (0, 118): 't3*tau2', (0, 35): 't1', (2, 106): 'tau3^-1*t2', (0, 143): 't1^-1', (0, 56): 'tau2^-1*t3^-1', (2, 99): 't1', (0, 46): 't2*tau3^-1', }