U-tiling: UQC552
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
|
|
sqc65
|
|
Pmmm |
47 |
orthorhombic |
{4,5} |
3 |
(2,3) |
|
G
|
False
|
|
sqc6579
|
|
Fddd |
70 |
orthorhombic |
{5,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1365
|
|
Cmma |
67 |
orthorhombic |
{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
<17.4:112:8 16 17 6 7 23 24 13 14 22 20 21 27 28 36 44 45 34 35 51 52 41 42 50 48 49 55 56 71 86 87 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 33 69 63 9 11 40 83 77 16 18 47 97 91 23 25 54 111 105 30 32 76 84 37 39 62 70 44 46 104 112 51 53 90 98 58 60 82 65 67 75 72 74 79 81 86 88 110 93 95 103 100 102 107 109,29 3 5 7 36 10 12 14 43 17 19 21 50 24 26 28 31 33 35 38 40 42 45 47 49 52 54 56 78 59 61 63 71 66 68 70 73 75 77 80 82 84 106 87 89 91 99 94 96 98 101 103 105 108 110 112:4 6 4 6 4 4 4 4 6 6 4 4,5 4 5 4 5 4 5 4 5 5 5 5> {(0, 107): 't2', (1, 68): 't3^-1', (2, 49): 't1', (2, 105): 'tau3*t1*tau2^-1', (0, 100): 't2^-1', (0, 63): 'tau1^-1', (2, 98): 'tau3^-1*t1^-1*tau2', (1, 111): 'tau3', (1, 82): 't2^-1', (0, 64): 't3^-1', (1, 102): 'tau3^-1*t1^-1*tau2', (0, 56): 'tau1', (0, 93): 't3', (0, 105): 't2*tau1*t3^-1', (1, 90): 'tau2', (0, 57): 't3', (0, 98): 't2^-1*tau1^-1*t3', (1, 75): 't2', (1, 97): 'tau2^-1', (1, 53): 't1', (1, 109): 'tau3*t1*tau2^-1', (1, 27): 'tau3', (0, 106): 't2', (1, 18): 't1^-1', (0, 99): 't2^-1', (2, 42): 't1', (1, 61): 't3', (0, 58): 't3', }