U-tiling: UQC549
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc363 |
*22222 |
(2,3,3) |
{5,4} |
{4.6.4.6.4}{6.4.6.4} |
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
|
|
sqc5513
|
|
P4/mmm |
123 |
tetragonal |
{4,4} |
12 |
(2,3) |
|
G
|
False
|
|
sqc6576
|
|
I4122 |
98 |
tetragonal |
{5,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1317
|
|
P42/mmc |
131 |
tetragonal |
{4,5} |
6 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.6.4.6.4}{6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.2:112:64 16 17 6 7 50 23 24 13 14 78 20 21 71 27 28 92 44 45 34 35 85 58 59 41 42 106 48 49 72 73 55 56 99 62 63 79 80 69 70 76 77 83 84 100 101 90 91 107 108 97 98 104 105 111 112,2 4 33 13 21 9 11 40 28 16 18 47 27 23 25 61 30 32 55 49 37 39 69 63 44 46 76 51 53 89 77 58 60 83 65 67 96 84 72 74 103 79 81 110 86 88 97 105 93 95 112 100 102 111 107 109,29 3 5 7 36 10 12 14 43 17 19 21 57 24 26 28 31 33 35 38 40 42 45 47 49 85 52 54 56 59 61 63 92 66 68 70 99 73 75 77 106 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112:4 6 4 4 4 4 6 4 6 4 4 6,5 4 5 5 5 4 4 5 5 5 5 4> {(1, 26): 't1', (2, 56): 't1^-1', (0, 107): 'tau2^-1*t3^-1', (1, 104): 'tau2*t3', (1, 83): 'tau3^-1*t2', (2, 105): 't1^-1', (1, 47): 'tau2^-1', (1, 25): 't1', (1, 76): 'tau2*t3', (1, 111): 't1^-1*tau3^-1*t2', (1, 82): 'tau3^-1', (0, 56): 't1^-1', (0, 16): 't1^-1', (1, 54): 't3^-1', (1, 110): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 43): 'tau2^-1*t3^-1', (1, 40): 't2', (0, 86): 't2*tau3^-1*t1^-1', (0, 57): 'tau3*t2^-1', (0, 14): 't1^-1', (1, 109): 't1^-1', (1, 27): 't1', (0, 106): 'tau2^-1*t3^-1', (0, 99): 't1*tau3*t2^-1', (0, 44): 'tau2^-1*t3^-1', (0, 15): 't1^-1', (1, 96): 'tau1', (0, 58): 'tau3*t2^-1', }