U-tiling: UQC522
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc352 |
*2244 |
(2,4,3) |
{8,3} |
{8.4.4.8.8.4.4.8}{4.4.4} |
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
|
|
sqc5806
|
|
P42/mmc |
131 |
tetragonal |
{7,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc6472
|
|
I-42d |
122 |
tetragonal |
{8,3} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1179
|
|
P4/mmm |
123 |
tetragonal |
{8,3} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {8.4.4.8.8.4.4.8}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.1:112:8 16 17 5 20 21 23 24 12 27 28 29 19 36 26 44 45 33 48 49 51 52 40 55 56 50 47 54 64 72 73 61 76 77 79 80 68 83 84 85 75 92 82 100 101 89 104 105 107 108 96 111 112 106 103 110,2 4 6 49 9 11 13 56 16 18 20 28 23 25 27 30 32 34 42 37 39 41 44 46 48 51 53 55 58 60 62 105 65 67 69 112 72 74 76 84 79 81 83 86 88 90 98 93 95 97 100 102 104 107 109 111,57 3 46 47 7 64 10 53 54 14 71 17 25 26 21 78 24 28 85 31 39 40 35 92 38 42 99 45 49 106 52 56 59 102 103 63 66 109 110 70 73 81 82 77 80 84 87 95 96 91 94 98 101 105 108 112:8 4 4 4 4 4 8 4 4 4 4 4,8 3 8 3 8 3 8 3 3 3 3 3> {(0, 103): 'tau1^-1', (0, 51): 't3^-1*tau2^-1*t3^-1', (0, 82): 'tau3^-1', (0, 107): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 62): 't2', (0, 43): 't3^-1', (0, 55): 't3^-1*tau2^-1*t3^-1', (0, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 22): 't1', (0, 12): 't1^-1', (0, 57): 't2', (0, 47): 't3^-1', (2, 67): 't1^-1*tau2*t3', (1, 111): 't3^-1*tau2^-1*t1', (0, 100): 'tau1^-1', (0, 48): 't3^-1', (0, 61): 't2', (0, 78): 'tau3^-1', (0, 83): 'tau3^-1', (0, 50): 't3^-1*tau2^-1*t3^-1', (0, 104): 'tau1^-1', (2, 108): 't3^-1*tau2^-1*t1', (2, 10): 't1^-1*tau2*t3', (2, 11): 't1^-1*tau2*t3', (0, 106): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 23): 't1', (0, 13): 't1^-1', (0, 54): 't3^-1*tau2^-1*t3^-1', (0, 35): 't3*tau2*t1^-1', (0, 44): 't3^-1', (1, 13): 't1^-1*tau2*t3', (0, 79): 'tau3^-1', (0, 99): 'tau1^-1', (0, 110): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 91): 't3*tau2*t1^-1', (0, 58): 't2', }