U-tiling: UQC556
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
|
False
|
|
sqc6823
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
12 |
(2,3) |
|
G
|
False
|
|
sqc6822
|
|
I4122 |
98 |
tetragonal |
{5,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1418
|
|
P4222 |
93 |
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
<17.5:112:15 30 31 6 7 22 37 38 13 14 44 45 20 21 58 59 27 28 43 34 35 57 41 42 48 49 71 86 87 55 56 62 63 78 93 94 69 70 100 101 76 77 107 108 83 84 99 90 91 106 97 98 104 105 111 112,2 4 12 69 21 9 11 55 28 16 18 26 83 23 25 76 30 32 54 97 49 37 39 68 90 63 44 46 75 111 51 53 77 58 60 82 104 65 67 84 72 74 79 81 86 88 96 105 93 95 112 100 102 110 107 109,8 3 5 7 10 12 14 22 17 19 21 24 26 28 50 31 33 35 64 38 40 42 71 45 47 49 52 54 56 78 59 61 63 66 68 70 73 75 77 80 82 84 92 87 89 91 94 96 98 106 101 103 105 108 110 112:4 6 4 4 6 6 6 4 4 4 4 4,5 4 4 5 5 4 5 4 5 5 5 5> {(1, 88): 'tau1^-1', (2, 63): 't2^-1', (1, 48): 'tau2^-1*t3^-1', (2, 56): 'tau3', (0, 107): 't1^-1', (2, 49): 't3^-1', (1, 104): 't1*tau3*t2^-1', (1, 103): 't1', (2, 105): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 20): 't1^-1', (2, 21): 't1', (1, 25): 't1', (0, 63): 't2^-1*tau3', (1, 111): 'tau2^-1*t3^-1', (1, 82): 't1', (0, 49): 't3^-1*tau2^-1', (2, 91): 'tau1', (1, 67): 't2^-1', (0, 105): 't1^-1*tau3^-1*t2', (1, 81): 'tau3^-1', (0, 57): 't1^-1', (0, 98): 'tau2*t3', (1, 62): 'tau3*t2^-1', (1, 53): 't3^-1', (1, 109): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 21): 't1', (0, 106): 't1^-1', (2, 42): 'tau2^-1', (1, 74): 'tau2', (0, 58): 't1^-1', }