U-tiling: UQC3969
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1118 |
*22222 |
(3,5,2) |
{3,4,4} |
{12.3.12}{12.12.3.3}{12.12.12.12} |
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
|
|
sqc303
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4} |
5 |
(3,5) |
|
G
|
False
|
|
sqc9134
|
|
Fddd |
70 |
orthorhombic |
{3,4,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc3013
|
|
Cmma |
67 |
orthorhombic |
{3,4,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {3,4,4} |
| 2D vertex symbol | {12.3.12}{12.12.3.3}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.2:144:82 3 5 78 8 27 100 12 14 96 17 36 118 21 23 114 26 136 30 32 132 35 91 39 41 105 44 63 73 48 50 87 53 72 127 57 59 141 62 109 66 68 123 71 75 77 80 117 84 86 89 126 93 95 98 135 102 104 107 144 111 113 116 120 122 125 129 131 134 138 140 143,2 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 43 44 18 91 13 14 51 52 53 109 22 23 60 61 62 36 127 31 32 69 70 71 100 40 41 54 82 49 50 136 58 59 72 118 67 68 76 77 105 106 107 99 85 86 96 97 98 108 94 95 103 104 112 113 141 142 143 135 121 122 132 133 134 144 130 131 139 140:12 3 12 3 3 3 12 3 12 3 3 3,3 4 4 3 4 3 4 4 3 4 3 3 3 3 4 4 4 4 4 4> {(2, 60): 't1', (0, 59): 'tau3^-1', (2, 63): 'tau2', (2, 61): 't1', (2, 54): 'tau3^-1', (0, 45): 't3^-1', (0, 32): 'tau3', (2, 32): 't1^-1', (2, 33): 't1^-1', (2, 34): 't1^-1', (2, 124): 'tau2^-1*t1*tau3', (2, 27): 'tau3', (2, 23): 't1^-1', (0, 23): 'tau2^-1', (2, 18): 'tau2^-1', (2, 140): 'tau3*t1*tau2^-1', (2, 141): 'tau3*t1*tau2^-1', (2, 142): 'tau3*t1*tau2^-1', (2, 143): 't2*tau1*t3^-1', (0, 36): 't2^-1', (2, 132): 'tau3^-1*t1^-1*tau2', (0, 0): 't3', (1, 66): 'tau2', (0, 134): 't2^-1', (2, 131): 'tau3^-1*t1^-1*tau2', (1, 57): 'tau3^-1', (0, 125): 't3', (2, 116): 't3^-1*tau1*t2', (0, 116): 't3^-1', (0, 107): 't2^-1', (2, 107): 'tau1', (1, 129): 'tau3^-1', (2, 98): 'tau1^-1', (1, 21): 'tau2^-1', (0, 9): 't2', (0, 122): 'tau2^-1'}