U-tiling: UQC4212
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc876 |
*4444 |
(4,3,2) |
{3,12,4,4} |
{8.6.6}{8.6.6.8.6.6.8.6.6.8.6.6}... |
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
|
|
sqc1029
|
|
P-4m2 |
115 |
tetragonal |
{3,10,4} |
6 |
(3,3) |
|
G
|
False
|
|
sqc1825
|
|
I-4 |
82 |
tetragonal |
{3,12,4,4} |
7 |
(4,4) |
|
D
|
False
|
|
sqc1910
|
|
I-4m2 |
119 |
tetragonal |
{3,12,4,4} |
7 |
(4,3) |
Topological data
| Vertex degrees | {3,12,4,4} |
| 2D vertex symbol | {8.6.6}{8.6.6.8.6.6.8.6.6.8.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:64:2 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 64,9 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 63,3 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 60:8 6 6 6 6,3 12 4 4 3 3 3> {(1, 57): 't3^-1*tau2^-1*t3^-1', (1, 25): 't1', (2, 62): 't3^-1*tau2^-1*t1', (2, 63): 't3^-1*tau2^-1*t1', (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, 40): 't3*tau2*t1^-1', (1, 49): 't3^-1', (1, 21): 't2^-1', (1, 53): 'tau1^-1', (1, 55): 'tau1^-1', (2, 44): 't3*tau2*t1^-1', (2, 45): 't3*tau2*t1^-1', (1, 23): 't2^-1', (1, 29): 'tau3^-1'}