U-tiling: UQC3258
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2449 |
*222222 |
(2,8,7) |
{5,4} |
{4.8.4.4.4}{4.4.4.8} |
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
|
|
sqc8888
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
16 |
(2,6) |
|
G
|
False
|
|
sqc8732
|
|
I212121 |
24 |
orthorhombic |
{4,4,5,5} |
16 |
(4,9) |
|
D
|
False
|
|
sqc2784
|
|
P222 |
16 |
orthorhombic |
{5,4} |
8 |
(2,8) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.8.4.4.4}{4.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:144:19 20 39 40 77 78 9 10 29 30 49 50 87 88 35 36 57 58 95 96 27 28 67 68 105 106 55 56 113 114 45 46 65 66 123 124 71 72 131 132 63 64 141 142 91 92 111 112 81 82 101 102 121 122 107 108 129 130 99 100 139 140 127 128 117 118 137 138 143 144 135 136,3 8 5 7 11 18 13 15 17 21 26 23 25 29 36 31 33 35 39 44 41 43 47 54 49 51 53 57 62 59 61 65 72 67 69 71 75 80 77 79 83 90 85 87 89 93 98 95 97 101 108 103 105 107 111 116 113 115 119 126 121 123 125 129 134 131 133 137 144 139 141 143,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144:4 4 4 8 4 4 4 4 4 4 8 4 4 4 4 4,4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5> {(0, 143): 't1^-1*tau3^-1*t2', (0, 29): 't1^-1', (0, 51): 't3*tau1^-1', (0, 31): 't1^-1*tau2', (0, 136): 'tau2^-1*t3^-1', (0, 126): 't1^-1*tau3^-1*t2', (0, 107): 'tau3^-1*t2', (0, 129): 't1^-1', (0, 138): 'tau2^-1*t3^-1*tau1*t2', (0, 32): 'tau3', (0, 22): 't1^-1', (0, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 121): 'tau1*t2', (0, 47): 't3*tau2', (0, 14): 't2', (0, 90): 'tau3^-1*t2', (0, 48): 't3', (0, 142): 't1^-1*tau3^-1*t2', (0, 28): 't1^-1', (0, 137): 'tau2^-1*t3^-1', (0, 50): 't3*tau1^-1', (0, 127): 't1^-1*tau3^-1*t2', (0, 30): 't1^-1*tau2', (0, 139): 'tau2^-1*t3^-1*tau1*t2', (0, 33): 'tau3', (0, 106): 'tau3^-1*t2', (0, 23): 't1^-1', (0, 128): 't1^-1', (0, 141): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 15): 't2', (0, 120): 'tau1*t2', (0, 46): 't3*tau2', (0, 91): 'tau3^-1*t2', (0, 49): 't3', }