U-tiling: UQC3999
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1123 |
*22222 |
(3,5,2) |
{4,8,3} |
{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4} |
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
|
False
|
|
sqc260
|
|
Pmmm |
47 |
orthorhombic |
{3,4,8} |
4 |
(3,5) |
|
G
|
False
|
|
sqc8864
|
|
Fddd |
70 |
orthorhombic |
{4,8,3} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2754
|
|
Cmma |
67 |
orthorhombic |
{4,8,3} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,8,3} |
| 2D vertex symbol | {5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<45.1:144:19 3 5 7 17 18 28 12 14 16 21 23 25 35 36 30 32 34 55 39 41 43 53 54 64 48 50 52 57 59 61 71 72 66 68 70 109 75 77 79 98 99 118 84 86 88 107 108 127 93 95 97 136 102 104 106 111 113 115 134 135 120 122 124 143 144 129 131 133 138 140 142,2 4 23 8 9 11 13 32 17 18 20 22 26 27 29 31 35 36 38 40 59 44 45 47 49 68 53 54 56 58 62 63 65 67 71 72 74 76 113 80 81 83 85 122 89 90 92 94 131 98 99 101 103 140 107 108 110 112 116 117 119 121 125 126 128 130 134 135 137 139 143 144,82 74 75 6 7 44 27 100 92 93 15 16 53 36 118 110 111 24 25 62 136 128 129 33 34 71 91 101 102 42 43 63 73 83 84 51 52 72 127 137 138 60 61 109 119 120 69 70 78 79 107 117 87 88 98 126 96 97 135 105 106 144 114 115 143 123 124 134 132 133 141 142:5 4 5 4 5 4 5 4 5 4 5 4 5 5 4 4,4 8 3 4 8 3 4 8 4 8 3 3 3 3 3 3> {(1, 121): 't3', (2, 61): 't1', (2, 56): 'tau3^-1', (1, 112): 't3^-1', (2, 55): 'tau3^-1', (2, 45): 't3^-1', (2, 36): 't2^-1', (2, 34): 't1^-1', (2, 28): 'tau3', (2, 29): 'tau3', (1, 94): 't2', (2, 20): 'tau2^-1', (2, 19): 'tau2^-1', (2, 142): 'tau3*t1*tau2^-1', (2, 143): 't2', (0, 142): 't2*tau1*t3^-1', (1, 103): 't2^-1', (2, 133): 'tau3^-1*t1^-1*tau2', (2, 134): 't2^-1', (0, 134): 't2^-1*tau1^-1*t3', (0, 143): 't2*tau1*t3^-1', (2, 125): 't3', (0, 126): 't2^-1', (2, 116): 't3^-1', (0, 115): 't3^-1*tau1*t2', (2, 118): 'tau2^-1', (2, 119): 'tau2^-1', (0, 117): 't3', (0, 106): 'tau1', (2, 9): 't2', (0, 98): 'tau1^-1', (0, 99): 't2^-1', (0, 97): 'tau1^-1', (0, 89): 'tau1^-1', (2, 0): 't3', (0, 72): 't3'}