U-tiling: UQC4193
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc866 |
*4444 |
(4,4,2) |
{4,4,8,4} |
{20.20.3.3}{3.3.3.3}{20.20.20.20... |
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
|
|
sqc1063
|
|
P4/mmm |
123 |
tetragonal |
{4,4,6} |
6 |
(3,4) |
|
G
|
False
|
|
sqc1830
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,4} |
7 |
(4,4) |
|
D
|
False
|
|
sqc1874
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,4} |
7 |
(4,4) |
Topological data
| Vertex degrees | {4,4,8,4} |
| 2D vertex symbol | {20.20.3.3}{3.3.3.3}{20.20.20.20.20.20.20.20}{20.20.20.20} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:64:9 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 64,2 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 63,3 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 59:20 3 3 3 3,4 4 8 4 4 4 4> {(2, 60): 't3^-1*tau2^-1*t3^-1', (2, 61): 't3^-1*tau2^-1*t3^-1', (2, 62): 't3^-1*tau2^-1*t1', (2, 63): 't3^-1*tau2^-1*t1', (2, 57): 't3^-1*tau2^-1*t3^-1', (1, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 59): 't3^-1*tau2^-1*t3^-1', (2, 52): 't3^-1', (2, 53): 't3^-1', (1, 23): 't2^-1', (2, 27): 't1', (2, 49): 't3^-1', (1, 55): 'tau1^-1', (2, 51): 't3^-1', (2, 12): 't1^-1', (0, 40): 't3*tau2*t1^-1', (1, 44): 't3*tau2*t1^-1', (0, 26): 't1*tau2^-1*t3^-1', (2, 29): 't1', (1, 31): 'tau3^-1', (2, 25): 't1'}