U-tiling: UQC3473
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc551 |
*22222 |
(3,3,2) |
{4,3,4} |
{10.10.10.10}{10.4.10}{10.4.10.4} |
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) |
|
G
|
False
|
|
sqc6948
|
|
I4122 |
98 |
tetragonal |
{4,3,4} |
16 |
(3,4) |
|
D
|
False
|
|
sqc1392
|
|
P42/mmc |
131 |
tetragonal |
{4,3,4} |
8 |
(3,3) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {10.10.10.10}{10.4.10}{10.4.10.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.5:112:8 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 98 106 101 103 105 108 110 112,2 4 19 34 70 9 11 26 41 56 16 18 48 84 23 25 62 77 30 32 47 98 37 39 61 91 44 46 112 51 53 75 90 58 60 105 65 67 82 97 72 74 104 79 81 111 86 88 103 93 95 110 100 102 107 109,15 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 98 104 105 111 112:10 4 4 4 4 10 10 10,4 3 4 4 3 4 3 3 4 4 4 3 4 3 3 3> {(0, 56): 'tau3', (2, 63): 't2^-1*tau3', (0, 63): 't2^-1', (2, 58): 't1^-1', (0, 49): 't3^-1', (2, 49): 't3^-1*tau2^-1', (0, 42): 'tau2^-1', (1, 104): 't1', (1, 109): 'tau2^-1*t3^-1', (1, 110): 't1^-1', (2, 57): 't1^-1', (1, 88): 't2*tau3^-1*t1^-1', (2, 21): 't1', (0, 21): 't1', (1, 46): 'tau2^-1*t3^-1', (1, 60): 'tau3*t2^-1', (0, 105): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 105): 't1^-1*tau3^-1*t2', (2, 106): 't1^-1', (2, 107): 't1^-1', (2, 98): 'tau2*t3', (0, 91): 'tau1', (1, 26): 't1', (1, 18): 't1^-1', (1, 20): 't1^-1'}