U-tiling: UQC1351
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc587 |
*4444 |
(2,4,4) |
{20,3} |
{4.8.4.4.8.4.8.4.4.8.4.8.4.4.8.4... |
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) |
|
G
|
True
|
|
sqc724
|
|
I-4m2 |
119 |
tetragonal |
{3,12} |
5 |
(2,3) |
|
D
|
True
|
|
sqc1134
|
|
I4/mmm |
139 |
tetragonal |
{16,3} |
5 |
(2,4) |
Topological data
| Vertex degrees | {20,3} |
| 2D vertex symbol | {4.8.4.4.8.4.8.4.4.8.4.8.4.4.8.4.8.4.4.8}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:64:3 18 20 21 22 55 56 11 26 28 29 30 63 64 19 31 32 27 35 50 52 53 54 47 48 43 58 60 61 62 51 59,2 4 13 7 24 10 12 15 32 18 20 37 23 26 28 45 31 34 36 39 56 42 44 47 64 50 52 61 55 58 60 63,9 6 11 5 8 14 13 16 33 22 35 21 24 41 30 43 29 32 38 37 40 46 45 48 57 54 59 53 56 62 61 64:4 4 8 4 4 4 4,20 3 3 3 3> {(0, 12): 't1^-1', (0, 61): 't3^-1*tau2^-1*t3^-1', (0, 51): 't3^-1', (0, 60): 't3^-1*tau2^-1*t3^-1', (1, 44): 't3*tau2*t1^-1', (1, 23): 't2^-1', (0, 63): 't3^-1*tau2^-1*t1', (0, 27): 't1', (0, 53): 't3^-1', (0, 62): 't3^-1*tau2^-1*t1', (0, 52): 't3^-1', (2, 26): 't1*tau2^-1*t3^-1', (0, 25): 't1', (1, 55): 'tau1^-1', (0, 57): 't3^-1*tau2^-1*t3^-1', (1, 31): 'tau3^-1', (0, 29): 't1', (2, 40): 't3*tau2*t1^-1', (0, 59): 't3^-1*tau2^-1*t3^-1', (0, 49): 't3^-1', (1, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', }