U-tiling: UQC4173
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc747 |
*4444 |
(4,4,2) |
{3,8,8,4} |
{4.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7... |
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
|
|
sqc1291
|
|
P4/mmm |
123 |
tetragonal |
{3,6,6,4} |
7 |
(4,4) |
|
G
|
False
|
|
sqc1823
|
|
I-4m2 |
119 |
tetragonal |
{3,8,8,4} |
7 |
(4,4) |
|
D
|
False
|
|
sqc1821
|
|
I-4m2 |
119 |
tetragonal |
{3,8,8,4} |
7 |
(4,4) |
Topological data
| Vertex degrees | {3,8,8,4} |
| 2D vertex symbol | {4.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:64:9 10 4 6 8 12 14 16 33 34 20 22 24 41 42 28 30 32 36 38 40 44 46 48 57 58 52 54 56 60 62 64,17 3 5 7 16 25 11 13 15 19 21 23 40 27 29 31 48 49 35 37 39 57 43 45 47 51 53 55 64 59 61 63,2 19 20 53 54 23 24 10 27 28 61 62 31 32 18 29 30 26 34 51 52 45 46 55 56 42 59 60 63 64 50 58:4 7 7 7 7,3 8 8 4 3 3 3> {(2, 60): 't3^-1*tau2^-1*t1', (2, 61): 't3^-1*tau2^-1*t1', (2, 62): 't3^-1*tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1*t3^-1', (2, 58): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 54): 't3^-1', (2, 55): 't3^-1', (2, 50): 'tau1^-1', (2, 51): 'tau1^-1', (0, 40): 't3*tau2*t1^-1', (0, 41): 't3*tau2*t1^-1', (2, 26): 'tau3^-1', (2, 27): 'tau3^-1', (2, 18): 't2^-1', (2, 19): 't2^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (1, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 48): 'tau1^-1', (1, 47): 't3*tau2*t1^-1', (1, 24): 'tau3^-1', (1, 16): 't2^-1'}