U-tiling: UQC565
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc368 |
*2244 |
(2,3,3) |
{5,8} |
{8.3.4.3.8}{3.4.3.4.3.4.3.4} |
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
|
|
sqc6767
|
|
P4/nmm |
129 |
tetragonal |
{5,8} |
10 |
(2,3) |
|
G
|
False
|
|
sqc6773
|
|
I41/a |
88 |
tetragonal |
{5,8} |
10 |
(2,4) |
|
D
|
False
|
|
sqc6768
|
|
I41/amd |
141 |
tetragonal |
{5,8} |
10 |
(2,3) |
Topological data
| Vertex degrees | {5,8} |
| 2D vertex symbol | {8.3.4.3.8}{3.4.3.4.3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.1:112:43 16 17 6 7 50 23 24 13 14 57 20 21 71 27 28 78 93 94 34 35 64 107 108 41 42 65 66 48 49 79 80 55 56 86 87 62 63 69 70 100 101 76 77 83 84 106 90 91 99 97 98 104 105 111 112,2 4 12 20 49 9 11 27 56 16 18 33 63 23 25 40 77 30 32 97 84 37 39 111 70 44 46 54 69 51 53 83 58 60 82 90 65 67 75 72 74 104 79 81 86 88 103 112 93 95 110 105 100 102 107 109,8 3 5 7 10 12 14 29 17 19 21 36 24 26 28 31 33 35 38 40 42 50 45 47 49 52 54 56 78 59 61 63 71 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112:8 3 4 8 3 4 4 3 3 3 3 3 3 4,5 8 8 5 5 5 5 5 5 5> {(0, 28): 't3^-1*tau2^-1', (0, 105): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 63): 'tau3^-1*t2', (2, 14): 't3', (0, 21): 'tau3*t2^-1', (2, 56): 't3', (1, 102): 'tau1^-1', (1, 81): 't3^-1', (0, 42): 't1', (1, 74): 't2', (2, 35): 't2^-1', (1, 39): 't2^-1', (2, 63): 't2^-1', (0, 98): 't2*tau3^-1*t1^-1*tau2*t3', (2, 105): 'tau1', (0, 56): 't3*tau2', (1, 32): 't3^-1', (2, 98): 'tau1^-1', (0, 49): 't1', (1, 109): 'tau1', }