U-tiling: UQC1407
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc701 |
*4444 |
(2,3,4) |
{6,8} |
{4.3.12.4.12.3}{3.12.3.12.3.12.3... |
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
|
False
|
|
sqc1978
|
|
P4/mmm |
123 |
tetragonal |
{8,6} |
5 |
(2,3) |
|
G
|
False
|
|
sqc1931
|
|
I-4 |
82 |
tetragonal |
{8,6} |
5 |
(2,4) |
|
D
|
False
|
|
sqc1972
|
|
I-4m2 |
119 |
tetragonal |
{8,6} |
5 |
(2,3) |
Topological data
| Vertex degrees | {6,8} |
| 2D vertex symbol | {4.3.12.4.12.3}{3.12.3.12.3.12.3.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:64:3 4 13 14 55 56 11 12 63 64 19 20 37 38 31 32 27 28 45 46 35 36 47 48 43 44 51 52 61 62 59 60,9 18 5 7 22 24 26 13 15 30 32 33 21 23 41 29 31 50 37 39 54 56 58 45 47 62 64 57 53 55 61 63,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64:3 12 4 4 3 3 3,8 6 6 6 6> {(1, 21): 't2^-1', (0, 44): 't3*tau2*t1^-1', (1, 57): 't3^-1*tau2^-1*t3^-1', (1, 53): 'tau1^-1', (0, 63): 't3^-1*tau2^-1*t1', (0, 62): 't3^-1*tau2^-1*t1', (1, 23): 't2^-1', (1, 49): 't3^-1', (0, 45): 't3*tau2*t1^-1', (1, 40): 't3*tau2*t1^-1', (1, 55): 'tau1^-1', (1, 29): 'tau3^-1', (1, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 31): 'tau3^-1', (1, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 25): 't1', }