U-tiling: UQC362
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc473 |
*22222 |
(2,4,2) |
{8,3} |
{3.8.8.3.3.8.8.3}{3.8.8} |
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
|
|
sqc5996
|
|
P4/mmm |
123 |
tetragonal |
{7,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc6537
|
|
I4122 |
98 |
tetragonal |
{8,3} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1229
|
|
P4222 |
93 |
tetragonal |
{3,8} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.5:112:8 3 5 69 21 10 12 55 28 22 17 19 83 24 26 76 50 31 33 97 49 64 38 40 90 63 71 45 47 111 52 54 77 78 59 61 104 66 68 84 73 75 80 82 92 87 89 105 94 96 112 106 101 103 108 110,2 10 6 7 9 13 14 16 24 20 21 23 27 28 30 52 34 35 37 66 41 42 44 73 48 49 51 55 56 58 80 62 63 65 69 70 72 76 77 79 83 84 86 94 90 91 93 97 98 100 108 104 105 107 111 112,15 4 5 34 14 22 11 12 41 18 19 48 28 25 26 62 43 32 33 56 57 39 40 70 46 47 77 71 53 54 90 60 61 84 78 67 68 97 74 75 104 81 82 111 99 88 89 98 106 95 96 102 103 112 109 110:3 8 8 3 3 8 3 8 3 3 3 3,8 3 8 3 3 3 3 8 3 8 3 3> {(2, 61): 't1^-1', (0, 56): 'tau3', (2, 63): 't2^-1*tau3', (0, 62): 'tau3*t2^-1', (0, 63): 't2^-1', (0, 61): 't1^-1', (0, 48): 'tau2^-1*t3^-1', (2, 55): 't3^-1', (2, 48): 'tau2^-1', (2, 49): 't3^-1*tau2^-1', (0, 42): 'tau2^-1', (1, 107): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 41): 't2', (1, 93): 'tau1', (0, 28): 't3', (2, 27): 't1', (0, 19): 't1^-1', (0, 20): 't1^-1', (0, 21): 't1', (1, 72): 'tau2', (1, 79): 'tau3^-1', (1, 65): 't2^-1', (2, 7): 't1^-1', (1, 51): 't3^-1', (0, 104): 't1*tau3*t2^-1', (2, 111): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 105): 't1^-1*tau3^-1*t2', (2, 62): 'tau3', (0, 98): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 97): 't3*tau2', (2, 97): 'tau1', (0, 91): 'tau1', (2, 84): 't3^-1*tau2^-1', (1, 16): 't1^-1', (2, 82): 't1'}