U-tiling: UQC4087
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1188 |
*22222 |
(3,4,2) |
{8,6,4} |
{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{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
|
False
|
|
sqc2760
|
|
Fmmm |
69 |
orthorhombic |
{8,4,6} |
6 |
(3,4) |
|
G
|
False
|
|
sqc8648
|
|
Fddd |
70 |
orthorhombic |
{8,6,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc241
|
|
Pmmm |
47 |
orthorhombic |
{4,6,8} |
3 |
(3,4) |
Topological data
| Vertex degrees | {8,6,4} |
| 2D vertex symbol | {6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.4:144:37 3 5 7 9 46 12 14 16 18 55 21 23 25 27 64 30 32 34 36 39 41 43 45 48 50 52 54 57 59 61 63 66 68 70 72 100 75 77 79 81 91 84 86 88 90 93 95 97 99 102 104 106 108 136 111 113 115 117 127 120 122 124 126 129 131 133 135 138 140 142 144,2 75 6 9 8 11 93 15 18 17 20 111 24 27 26 29 129 33 36 35 38 102 42 45 44 47 84 51 54 53 56 138 60 63 62 65 120 69 72 71 74 78 81 80 83 87 90 89 92 96 99 98 101 105 108 107 110 114 117 116 119 123 126 125 128 132 135 134 137 141 144 143,10 4 5 24 25 89 90 13 14 33 34 107 108 28 22 23 125 126 31 32 143 144 46 40 41 60 61 98 99 49 50 69 70 80 81 64 58 59 134 135 67 68 116 117 91 76 77 114 115 100 85 86 123 124 94 95 132 133 103 104 141 142 127 112 113 136 121 122 130 131 139 140:6 3 6 3 6 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3,8 6 4 6 4 6 6 8 4 4 8 8> {(0, 63): 't1', (2, 52): 't3^-1', (2, 53): 't3^-1', (1, 110): 'tau2', (0, 54): 't1', (1, 119): 'tau2^-1', (2, 44): 't2^-1', (2, 43): 't2^-1', (2, 16): 't2', (2, 17): 't2', (2, 140): 't2', (2, 141): 't2', (2, 8): 't3', (2, 132): 't2^-1', (2, 7): 't3', (2, 131): 't2^-1', (1, 56): 'tau3^-1', (2, 126): 't2^-1*tau1^-1*t3', (0, 126): 'tau3^-1*t1^-1*tau2', (2, 122): 't3', (2, 123): 't3', (2, 117): 't3*tau1^-1*t2^-1', (2, 113): 't3^-1', (2, 114): 't3^-1', (0, 108): 'tau2*t1^-1*tau3^-1', (1, 29): 'tau3', (2, 90): 'tau1^-1', (2, 81): 'tau1^-1'}