U-tiling: UQC990
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc730 |
*2244 |
(2,4,3) |
{4,4} |
{4.16.3.16}{16.16.3.3} |
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
|
|
sqc2168
|
|
P4/mmm |
123 |
tetragonal |
{4,4} |
8 |
(2,4) |
|
G
|
False
|
|
sqc8045
|
|
I41/a |
88 |
tetragonal |
{4,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc7703
|
|
I41/amd |
141 |
tetragonal |
{4,4} |
16 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.16.3.16}{16.16.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.1:128:49 4 5 22 23 56 57 12 13 30 31 64 65 20 21 72 81 28 29 88 89 36 37 110 111 96 73 44 45 126 127 80 52 53 78 79 60 61 94 95 68 69 102 103 76 77 84 85 118 119 92 93 121 100 101 128 113 108 109 120 116 117 124 125,2 8 52 6 55 10 16 60 14 63 18 24 68 22 71 26 32 84 30 87 34 40 92 38 95 42 48 76 46 79 50 56 54 58 64 62 66 72 70 74 80 78 82 88 86 90 96 94 98 104 124 102 127 106 112 116 110 119 114 120 118 122 128 126,9 3 5 7 16 11 13 15 33 19 21 23 40 41 27 29 31 48 35 37 39 43 45 47 57 51 53 55 64 59 61 63 89 67 69 71 96 81 75 77 79 88 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127:3 16 4 3 16 4 3 3 3 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 54): 't1', (0, 16): 'tau2^-1*t3^-1', (2, 120): 'tau1', (1, 118): 't2*tau3^-1*t1^-1*tau2*t3', (2, 112): 'tau1^-1', (2, 47): 't2^-1', (0, 112): 't2*tau3^-1*t1^-1*tau2*t3', (1, 51): 't1', (1, 123): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 71): 't3', (1, 27): 'tau3*t2^-1', (0, 32): 't3^-1*tau2^-1', (1, 67): 't3*tau2', (1, 70): 't3*tau2', (2, 127): 'tau1', (0, 120): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 24): 'tau3*t2^-1', (1, 75): 'tau3^-1*t2', (1, 126): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 23): 't3', (0, 48): 't1', (2, 80): 't2', (2, 32): 't3^-1', (1, 86): 't2*tau3^-1', (2, 88): 't3^-1', (1, 62): 't1', (0, 40): 't2^-1*tau3', (1, 91): 'tau2*t3', (1, 78): 'tau3^-1*t2', (1, 59): 't1', (1, 115): 't2*tau3^-1*t1^-1*tau2*t3', (2, 87): 't2', (0, 56): 't1', (2, 40): 't2^-1', (1, 94): 'tau2*t3', (2, 119): 'tau1^-1', }