U-tiling: UQC4039
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1130 |
*22222 |
(3,5,2) |
{4,4,3} |
{10.10.10.10}{10.4.4.10}{10.4.4} |
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
|
|
sqc2289
|
|
Fmmm |
69 |
orthorhombic |
{3,4,3} |
10 |
(3,5) |
|
G
|
False
|
|
sqc8818
|
|
Fddd |
70 |
orthorhombic |
{4,4,3} |
20 |
(3,6) |
|
D
|
False
|
|
sqc301
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3} |
5 |
(3,5) |
Topological data
| Vertex degrees | {4,4,3} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.5:144:10 3 5 7 80 81 12 14 16 98 99 28 21 23 25 116 117 30 32 34 134 135 46 39 41 43 107 108 48 50 52 89 90 64 57 59 61 143 144 66 68 70 125 126 91 75 77 79 100 84 86 88 93 95 97 102 104 106 127 111 113 115 136 120 122 124 129 131 133 138 140 142,2 4 41 8 9 11 13 50 17 18 20 22 59 26 27 29 31 68 35 36 38 40 44 45 47 49 53 54 56 58 62 63 65 67 71 72 74 76 104 80 81 83 85 95 89 90 92 94 98 99 101 103 107 108 110 112 140 116 117 119 121 131 125 126 128 130 134 135 137 139 143 144,19 83 84 6 7 89 45 28 101 102 15 16 107 54 119 120 24 25 125 63 137 138 33 34 143 72 55 92 93 42 43 98 64 74 75 51 52 80 128 129 60 61 134 110 111 69 70 116 109 78 79 108 118 87 88 99 127 96 97 136 105 106 114 115 144 123 124 135 132 133 141 142:10 4 4 10 4 4 4 4 4 4 10 10,4 4 3 4 4 3 4 3 4 3 4 4 4 4 4 4 3 3 3 3> {(1, 121): 'tau2^-1*t1*tau3', (2, 62): 't1', (0, 62): 'tau3^-1', (0, 61): 'tau3^-1', (2, 52): 't3^-1', (1, 112): 'tau2*t1^-1*tau3^-1', (2, 46): 't3^-1', (2, 47): 't3^-1', (2, 43): 't2^-1', (0, 34): 'tau3', (2, 37): 't2^-1', (2, 38): 't2^-1', (2, 35): 't1^-1', (0, 26): 'tau2^-1', (0, 25): 'tau2^-1', (2, 16): 't2', (2, 143): 'tau3*t1*tau2^-1', (2, 10): 't2', (2, 11): 't2', (2, 134): 'tau3^-1*t1^-1*tau2', (2, 135): 't2', (0, 134): 'tau3^-1', (0, 135): 't2*tau1*t3^-1', (2, 2): 't3', (2, 1): 't3', (2, 126): 't2^-1', (0, 124): 'tau2^-1', (0, 125): 'tau2^-1', (2, 117): 't3', (2, 108): 't3^-1', (0, 108): 't3^-1*tau1*t2', (0, 99): 'tau1', (1, 67): 't1', (2, 7): 't3', (1, 22): 't1^-1', (0, 72): 'tau1'}