U-tiling: UQC1580
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1082 |
*2244 |
(2,4,4) |
{4,5} |
{4.4.6.4}{4.4.4.6.6} |
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
|
|
sqc2844
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
8 |
(2,4) |
|
G
|
False
|
|
sqc8746
|
|
I41/a |
88 |
tetragonal |
{5,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc8747
|
|
I41/amd |
141 |
tetragonal |
{5,4} |
16 |
(2,4) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {4.4.6.4}{4.4.4.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<94.1:144:10 4 5 24 25 26 27 13 14 33 34 35 36 37 22 23 46 31 32 40 41 123 124 125 126 49 50 141 142 143 144 64 58 59 87 88 89 90 67 68 105 106 107 108 100 76 77 114 115 116 117 91 85 86 94 95 132 133 134 135 103 104 127 112 113 136 121 122 130 131 139 140,2 8 58 6 61 63 11 17 67 15 70 72 20 26 76 24 79 81 29 35 94 33 97 99 38 44 103 42 106 108 47 53 85 51 88 90 56 62 60 65 71 69 74 80 78 83 89 87 92 98 96 101 107 105 110 116 139 114 142 144 119 125 130 123 133 135 128 134 132 137 143 141,55 3 5 7 9 64 12 14 16 18 73 21 23 25 27 91 30 32 34 36 100 39 41 43 45 82 48 50 52 54 57 59 61 63 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 136 111 113 115 117 127 120 122 124 126 129 131 133 135 138 140 142 144:6 4 4 4 4 4 4 6 6 4 4 4 4 4 4 6,5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4> {(1, 57): 't1', (1, 87): 'tau3^-1*t2', (1, 123): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 114): 't3*tau2*t1^-1*tau3^-1*t2', (0, 45): 't2^-1', (1, 60): 't1', (0, 18): 't3', (1, 111): 't3*tau2*t1^-1*tau3^-1*t2', (1, 102): 'tau2*t3', (0, 135): 'tau1', (0, 72): 't3', (0, 126): 'tau1^-1', (1, 93): 't2*tau3^-1', (1, 75): 't3*tau2', (1, 84): 'tau3^-1*t2', (0, 90): 't2', (1, 66): 't1', (1, 120): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 78): 't3*tau2', (1, 69): 't1', (1, 105): 'tau2*t3', (1, 96): 't2*tau3^-1', }