U-tiling: UQC3992
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1122 |
*22222 |
(3,5,2) |
{4,4,6} |
{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4} |
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
|
True
|
|
sqc2257
|
|
Fmmm |
69 |
orthorhombic |
{4,4,5} |
8 |
(3,5) |
|
G
|
False
|
|
sqc8784
|
|
Fddd |
70 |
orthorhombic |
{4,4,6} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2865
|
|
Cmma |
67 |
orthorhombic |
{4,4,6} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,4,6} |
| 2D vertex symbol | {5.5.5.5}{5.4.4.5}{5.4.4.5.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.2:144:82 3 5 7 17 18 100 12 14 16 118 21 23 25 35 36 136 30 32 34 91 39 41 43 53 54 73 48 50 52 127 57 59 61 71 72 109 66 68 70 75 77 79 98 99 84 86 88 107 108 93 95 97 102 104 106 111 113 115 134 135 120 122 124 143 144 129 131 133 138 140 142,2 4 86 8 9 11 13 104 17 18 20 22 122 26 27 29 31 140 35 36 38 40 95 44 45 47 49 77 53 54 56 58 131 62 63 65 67 113 71 72 74 76 80 81 83 85 89 90 92 94 98 99 101 103 107 108 110 112 116 117 119 121 125 126 128 130 134 135 137 139 143 144,73 38 39 6 7 44 27 91 47 48 15 16 53 36 109 56 57 24 25 62 127 65 66 33 34 71 100 42 43 63 82 51 52 72 136 60 61 118 69 70 101 102 78 79 107 117 92 93 87 88 98 126 96 97 135 105 106 144 137 138 114 115 143 128 129 123 124 134 132 133 141 142:5 4 5 5 4 5 5 4 5 5 4 5 4 4 4 4,4 4 6 4 4 6 4 4 4 4 6 6 4 4 4 4> {(2, 61): 't1', (2, 63): 'tau2', (2, 56): 't1', (2, 54): 'tau3^-1', (2, 55): 't1', (0, 45): 't3^-1', (2, 34): 't1^-1', (2, 28): 't1^-1', (2, 29): 't1^-1', (1, 94): 't2', (1, 85): 't3^-1', (2, 18): 'tau2^-1', (0, 143): 't2*tau1*t3^-1', (2, 142): 'tau3*t1*tau2^-1', (2, 143): 't2', (0, 142): 't2*tau1*t3^-1', (0, 36): 't2^-1', (2, 133): 'tau3^-1*t1^-1*tau2', (0, 0): 't3', (2, 128): 'tau3^-1*t1^-1*tau2', (1, 76): 't3', (2, 125): 't3', (2, 127): 'tau3^-1*t1^-1*tau2', (2, 116): 't3^-1', (0, 115): 't3^-1*tau1*t2', (2, 137): 'tau3*t1*tau2^-1', (0, 116): 't3^-1*tau1*t2', (0, 106): 'tau1', (2, 109): 'tau2*t1^-1*tau3^-1', (0, 98): 'tau1^-1', (0, 97): 'tau1^-1', (2, 134): 't2^-1', (0, 89): 'tau1^-1', (2, 27): 'tau3', (0, 9): 't2', (1, 103): 't2^-1'}