U-tiling: UQC424
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc61 |
*2224 |
(1,3,2) |
{4} |
{4.8.8.4} |
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
|
|
sqc2188
|
|
Fmmm |
69 |
orthorhombic |
{4,4} |
8 |
(2,5) |
|
G
|
False
|
|
sqc8110
|
|
Fddd |
70 |
orthorhombic |
{4,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2186
|
|
Cmma |
67 |
orthorhombic |
{4,4} |
8 |
(2,5) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.8.4}{4.4.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:128:73 4 5 78 39 16 89 12 13 94 47 105 20 21 110 55 32 121 28 29 126 63 81 36 37 86 48 65 44 45 70 113 52 53 118 64 97 60 61 102 68 69 95 88 76 77 87 96 84 85 92 93 100 101 127 120 108 109 119 128 116 117 124 125,2 8 6 7 10 16 14 15 18 24 22 23 26 32 30 31 34 40 38 39 42 48 46 47 50 56 54 55 58 64 62 63 66 72 70 71 74 80 78 79 82 88 86 87 90 96 94 95 98 104 102 103 106 112 110 111 114 120 118 119 122 128 126 127,17 3 5 70 71 24 25 11 13 86 87 32 19 21 102 103 27 29 118 119 49 35 37 94 95 56 57 43 45 78 79 64 51 53 126 127 59 61 110 111 97 67 69 104 105 75 77 112 113 83 85 120 121 91 93 128 99 101 107 109 115 117 123 125:4 8 4 4 8 4 4 4 4 4 8 8,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 22): 'tau2^-1', (0, 126): 'tau3*t1*tau2^-1', (2, 53): 'tau3^-1', (2, 112): 't2^-1', (2, 111): 't3', (0, 95): 'tau1', (0, 8): 't2', (0, 62): 't1', (0, 119): 't2^-1*tau1^-1*t3', (0, 32): 't2^-1', (0, 45): 't3^-1', (2, 103): 't3^-1', (2, 127): 't2', (2, 30): 'tau3', (0, 5): 't3', (2, 61): 'tau2', (0, 118): 'tau3^-1*t1^-1*tau2', (2, 54): 'tau3^-1', (2, 96): 't3^-1', (2, 21): 'tau2^-1', (0, 127): 't2*tau1*t3^-1', (0, 40): 't3^-1', (2, 120): 't2', (0, 87): 'tau1^-1', (0, 0): 't3', (0, 13): 't2', (0, 54): 't1', (2, 62): 'tau2', (0, 37): 't2^-1', (2, 104): 't3', (2, 29): 'tau3', (2, 119): 't2^-1', }