U-tiling: UQC3928
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1112 |
*22222 |
(3,5,2) |
{3,8,4} |
{6.3.6}{6.6.3.3.6.6.3.3}{6.6.6.6} |
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
|
True
|
|
sqc2276
|
|
Fmmm |
69 |
orthorhombic |
{8,3,3} |
8 |
(3,5) |
|
G
|
False
|
|
sqc8780
|
|
Fddd |
70 |
orthorhombic |
{3,8,4} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2988
|
|
Cmma |
67 |
orthorhombic |
{3,4,8} |
8 |
(3,5) |
Topological data
| Vertex degrees | {3,8,4} |
| 2D vertex symbol | {6.3.6}{6.6.3.3.6.6.3.3}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<40.2:144:82 3 5 78 8 90 100 12 14 96 17 108 118 21 23 114 26 126 136 30 32 132 35 144 91 39 41 105 44 99 73 48 50 87 53 81 127 57 59 141 62 135 109 66 68 123 71 117 75 77 80 84 86 89 93 95 98 102 104 107 111 113 116 120 122 125 129 131 134 138 140 143,2 7 76 6 9 11 16 94 15 18 20 25 112 24 27 29 34 130 33 36 38 43 103 42 45 47 52 85 51 54 56 61 139 60 63 65 70 121 69 72 74 79 78 81 83 88 87 90 92 97 96 99 101 106 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,73 4 5 42 16 17 27 91 13 14 51 36 109 22 23 60 34 35 127 31 32 69 100 40 41 52 53 63 82 49 50 72 136 58 59 70 71 118 67 68 76 77 105 97 98 117 85 86 96 106 107 126 94 95 135 103 104 144 112 113 141 133 134 121 122 132 142 143 130 131 139 140:6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3,3 8 4 3 3 8 3 3 4 3 3 3 8 4 4 8> {(0, 59): 'tau3^-1', (2, 63): 'tau2', (1, 111): 'tau2', (1, 120): 'tau2^-1', (2, 54): 'tau3^-1', (0, 53): 't3^-1', (0, 44): 't2^-1', (0, 45): 't3^-1', (0, 32): 'tau3', (2, 32): 't1^-1', (0, 36): 't2^-1', (2, 27): 'tau3', (2, 59): 't1', (0, 23): 'tau2^-1', (2, 18): 'tau2^-1', (2, 140): 'tau3*t1*tau2^-1', (2, 141): 't2*tau1*t3^-1', (2, 142): 't2*tau1*t3^-1', (0, 9): 't2', (2, 132): 't2^-1*tau1^-1*t3', (0, 0): 't3', (2, 131): 'tau3^-1*t1^-1*tau2', (1, 57): 'tau3^-1', (2, 125): 't3', (2, 116): 't3^-1', (2, 115): 't3^-1*tau1*t2', (1, 129): 'tau3^-1', (0, 8): 't3', (2, 105): 'tau1', (2, 106): 'tau1', (2, 107): 't2^-1', (2, 96): 'tau1^-1', (2, 134): 't2^-1', (2, 79): 'tau1', (0, 122): 'tau2^-1', (0, 17): 't2'}