U-tiling: UQC4900
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1786 |
*222222 |
(4,6,2) |
{3,4,4,4} |
{12.5.12}{12.12.5.5}{5.5.5.5}{12... |
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
|
|
sqc3850
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,3} |
12 |
(4,6) |
|
G
|
False
|
|
sqc4510
|
|
I212121 |
24 |
orthorhombic |
{3,4,4,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc664
|
|
P222 |
16 |
orthorhombic |
{3,4,4,4} |
6 |
(4,6) |
Topological data
| Vertex degrees | {3,4,4,4} |
| 2D vertex symbol | {12.5.12}{12.12.5.5}{5.5.5.5}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<94.1:88:12 3 5 7 30 10 55 14 16 18 41 21 66 34 25 27 29 32 77 36 38 40 43 88 56 47 49 51 74 54 58 60 62 85 65 78 69 71 73 76 80 82 84 87,2 9 26 6 8 11 13 20 37 17 19 22 24 31 28 30 33 35 42 39 41 44 46 53 70 50 52 55 57 64 81 61 63 66 68 75 72 74 77 79 86 83 85 88,23 4 5 17 18 52 20 21 33 34 15 16 63 44 26 27 39 40 74 42 43 37 38 85 67 48 49 61 62 64 65 77 78 59 60 88 70 71 83 84 86 87 81 82:12 5 5 12 5 5,3 4 4 4 3 4 4 3 4 4 3 4> {(2, 62): 't1', (0, 62): 't1', (2, 54): 't2^-1*tau1^-1', (2, 55): 't1', (0, 54): 't2^-1', (0, 55): 'tau3^-1*t2', (0, 43): 't3*tau1^-1*t2^-1*tau3*t1', (2, 41): 'tau2^-1*t3^-1', (2, 42): 'tau2^-1*t3^-1', (2, 43): 'tau2^-1*t1', (0, 32): 't3*tau1^-1', (0, 21): 'tau3', (2, 32): 't3', (2, 38): 'tau2^-1*t3^-1', (2, 39): 'tau2^-1*t3^-1', (2, 20): 't1^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 19): 't1^-1', (1, 58): 't1', (0, 77): 't1^-1*tau3^-1*t2', (2, 87): 'tau2^-1*t3^-1*tau1*t2', (2, 82): 'tau2^-1*t3^-1', (2, 83): 'tau2^-1*t3^-1', (2, 74): 't3*tau2', (2, 75): 't3*tau2'}