U-tiling: UQC663
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc442 |
*2244 |
(2,3,3) |
{4,6} |
{4.4.8.4}{4.4.8.4.4.8} |
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
|
|
sqc6058
|
|
P42/mmc |
131 |
tetragonal |
{5,4} |
12 |
(2,3) |
|
G
|
False
|
|
sqc6692
|
|
I-42d |
122 |
tetragonal |
{6,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1244
|
|
P-42m |
111 |
tetragonal |
{4,6} |
6 |
(2,3) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {4.4.8.4}{4.4.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<45.1:112:8 4 5 13 14 11 12 29 18 19 34 35 36 25 26 41 42 32 33 39 40 50 46 47 55 56 53 54 64 60 61 69 70 67 68 85 74 75 90 91 92 81 82 97 98 88 89 95 96 106 102 103 111 112 109 110,2 45 6 19 21 9 52 13 26 28 16 24 20 23 27 30 38 34 47 49 37 41 54 56 44 48 51 55 58 101 62 75 77 65 108 69 82 84 72 80 76 79 83 86 94 90 103 105 93 97 110 112 100 104 107 111,57 3 5 7 64 10 12 14 71 17 19 21 78 24 26 28 85 31 33 35 92 38 40 42 99 45 47 49 106 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112:4 8 4 4 4 4 4 8 4 4 4 4,6 4 6 4 6 6 4 4 4 4 4 4> {(1, 88): 'tau1', (0, 41): 't3*tau2*t1^-1', (1, 48): 't3^-1', (1, 46): 't3^-1', (0, 96): 't3*tau2*t1^-1', (1, 104): 'tau1^-1', (1, 83): 'tau3^-1', (1, 95): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 25): 't1', (1, 76): 't2^-1', (1, 55): 't3^-1*tau2^-1*t3^-1', (0, 97): 't3*tau2*t1^-1', (1, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 51): 't3^-1*tau2^-1*t1', (0, 35): 't3*tau2*t1^-1', (1, 107): 't3^-1*tau2^-1*t1', (1, 81): 'tau3^-1', (1, 53): 't3^-1*tau2^-1*t3^-1', (0, 40): 't3*tau2*t1^-1', (1, 27): 't1', (1, 74): 't2^-1', (0, 91): 't3*tau2*t1^-1', }