U-tiling: UQC2001
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1637 |
*222222 |
(2,5,4) |
{4,6} |
{4.8.6.4}{6.8.8.6.8.8} |
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
|
|
sqc3986
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
10 |
(2,4) |
|
G
|
False
|
|
sqc4405
|
|
I212121 |
24 |
orthorhombic |
{6,4,4} |
10 |
(3,6) |
|
D
|
False
|
|
sqc646
|
|
P222 |
16 |
orthorhombic |
{4,6} |
5 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.8.6.4}{6.8.8.6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:88:23 4 5 50 51 19 20 32 33 34 15 16 61 62 43 44 26 27 72 73 41 42 37 38 83 84 67 48 49 63 64 76 77 78 59 60 87 88 70 71 85 86 81 82,2 47 6 11 8 10 13 58 17 22 19 21 24 69 28 33 30 32 35 80 39 44 41 43 46 50 55 52 54 57 61 66 63 65 68 72 77 74 76 79 83 88 85 87,12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 78 69 71 73 75 77 80 82 84 86 88:8 6 4 4 8 6 4 4,6 4 4 6 4 4 4 4 4 4> {(1, 57): 'tau3^-1', (0, 41): 'tau2^-1*t3^-1', (0, 18): 't1^-1', (1, 46): 't2^-1', (0, 84): 'tau2^-1*t3^-1', (1, 68): 'tau1*t3^-1', (0, 55): 't1', (0, 42): 'tau2^-1*t1', (0, 19): 't1^-1', (0, 85): 'tau2^-1*t3^-1', (2, 77): 't1^-1*tau3^-1*t2', (2, 44): 't2^-1*tau3', (0, 60): 't1', (0, 31): 't3', (0, 53): 't2^-1*tau1^-1', (0, 43): 'tau2^-1*t1', (1, 79): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 32): 't3', (0, 86): 'tau2^-1*t3^-1*tau1*t2', (0, 61): 't1', (0, 40): 'tau2^-1*t3^-1', (0, 87): 'tau2^-1*t3^-1*tau1*t2', (0, 54): 't2^-1*tau1^-1', }