U-tiling: UQC3256
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
|
|
sqc8743
|
|
Cmma |
67 |
orthorhombic |
{4,5} |
16 |
(2,8) |
|
G
|
False
|
|
sqc8779
|
|
C2/c |
15 |
monoclinic |
{4,4,5,5} |
16 |
(4,9) |
|
D
|
False
|
|
sqc2481
|
|
Cmmm |
65 |
orthorhombic |
{5,4} |
8 |
(2,7) |
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
<4.3:144:73 74 93 94 77 78 9 10 47 48 31 32 51 52 89 90 109 110 129 130 113 114 27 28 65 66 69 70 125 126 127 128 111 112 131 132 45 46 67 68 143 144 91 92 75 76 95 96 63 64 107 108 81 82 137 138 121 122 141 142 99 100 119 120 139 140 123 124 117 118 135 136,3 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, 39): 't2^-1', (0, 16): 'tau2^-1*t3^-1', (0, 120): 'tau1^-1', (0, 51): 't1', (0, 121): 'tau1^-1', (0, 18): 'tau3*t2^-1', (0, 53): 'tau3^-1*t2', (0, 107): 't3^-1*tau2^-1', (0, 20): 't2', (0, 1): 'tau2^-1*t3^-1', (0, 138): 'tau1', (0, 55): 'tau2*t3', (0, 32): 't1^-1', (0, 3): 't3', (0, 140): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 57): 't3^-1', (0, 34): 'tau3*t2^-1', (0, 123): 't2*tau3^-1*t1^-1*tau2*t3', (0, 36): 'tau3^-1*t2', (0, 17): 'tau2^-1*t3^-1', (0, 38): 't2^-1', (0, 19): 'tau3*t2^-1', (0, 50): 't1', (0, 21): 't2', (0, 139): 'tau1', (0, 52): 'tau3^-1*t2', (0, 33): 't1^-1', (0, 106): 't3^-1*tau2^-1', (0, 87): 't3*tau2*t1^-1*tau3^-1*t2', (0, 0): 'tau2^-1*t3^-1', (0, 54): 'tau2*t3', (0, 35): 'tau3*t2^-1', (0, 2): 't3', (0, 56): 't3^-1', (0, 37): 'tau3^-1*t2', (0, 122): 't2*tau3^-1*t1^-1*tau2*t3', }