U-tiling: UQC422
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
|
|
sqc2189
|
|
Fmmm |
69 |
orthorhombic |
{4,4} |
8 |
(2,5) |
|
G
|
False
|
|
sqc8100
|
|
Fddd |
70 |
orthorhombic |
{4,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2203
|
|
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
<22.2:128:65 4 5 70 15 24 81 12 13 86 32 97 20 21 102 31 113 28 29 118 89 36 37 94 47 56 73 44 45 78 64 121 52 53 126 63 105 60 61 110 68 69 87 104 76 77 95 112 84 85 120 92 93 128 100 101 119 108 109 127 116 117 124 125,2 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 98 104 102 103 106 112 110 111 114 120 118 119 122 128 126 127,73 3 5 38 39 80 89 11 13 46 47 96 105 19 21 54 55 112 121 27 29 62 63 128 81 35 37 88 65 43 45 72 113 51 53 120 97 59 61 104 67 69 94 95 75 77 86 87 83 85 91 93 99 101 126 127 107 109 118 119 115 117 123 125:4 8 4 4 4 4 8 4 4 4 8 8,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 103): 't3^-1', (2, 22): 't1^-1', (0, 29): 'tau3', (2, 0): 't3', (2, 53): 't1', (2, 47): 't3^-1', (2, 118): 'tau3^-1*t1^-1*tau2', (0, 53): 'tau3^-1', (0, 126): 't2*tau1*t3^-1', (2, 7): 't3', (0, 119): 't2^-1', (2, 102): 'tau2*t1^-1*tau3^-1', (0, 86): 'tau1^-1', (2, 62): 't1', (0, 111): 't3', (0, 24): 'tau3', (2, 8): 't2', (2, 61): 't1', (0, 48): 'tau3^-1', (0, 61): 'tau2', (2, 32): 't2^-1', (2, 15): 't2', (0, 127): 't2', (2, 125): 'tau3*t1*tau2^-1', (0, 21): 'tau2^-1', (2, 39): 't2^-1', (0, 78): 'tau1^-1', (0, 16): 'tau2^-1', (0, 118): 't2^-1*tau1^-1*t3', (0, 56): 'tau2', (2, 40): 't3^-1', (2, 117): 'tau3^-1*t1^-1*tau2', }