U-tiling: UQC2431
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1437 |
*4444 |
(2,4,5) |
{6,4} |
{4.12.4.4.4.12}{12.4.4.4} |
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) |
|
P
|
False
|
|
sqc3537
|
|
P-4m2 |
115 |
tetragonal |
{4,6} |
8 |
(2,4) |
|
G
|
False
|
|
sqc3498
|
|
I-4 |
82 |
tetragonal |
{4,6} |
8 |
(2,5) |
|
D
|
False
|
|
sqc3724
|
|
I4/mmm |
139 |
tetragonal |
{6,4} |
8 |
(2,3) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.12.4.4.4.12}{12.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.1:80:21 22 5 6 27 28 29 30 31 32 15 16 37 38 39 40 25 26 35 36 61 62 45 46 67 68 69 70 71 72 55 56 77 78 79 80 65 66 75 76,11 3 14 7 9 68 70 13 17 19 78 80 41 23 44 27 29 38 40 51 33 54 37 39 43 47 49 58 60 53 57 59 71 63 74 67 69 73 77 79,2 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 66 68 70 72 74 76 78 80:4 4 12 4 4 4 4 4,4 6 6 4 6 4 6 4> {(0, 51): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 77): 't3^-1*tau2^-1*t1', (0, 59): 't3*tau2*t3', (0, 26): 't2^-1', (0, 48): 't3', (0, 38): 't1', (0, 30): 'tau3^-1', (0, 56): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 46): 'tau1', (0, 27): 't2^-1', (0, 49): 't3', (0, 39): 't1', (0, 60): 'tau1^-1', (0, 31): 'tau3^-1', (0, 20): 't2^-1', (1, 79): 't3^-1*tau2^-1*t1', (1, 50): 't3*tau2*t1^-1', (0, 57): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 47): 'tau1', (0, 36): 'tau3^-1', (1, 53): 't3*tau2*t1^-1', (0, 61): 'tau1^-1', (0, 50): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 21): 't2^-1', (0, 37): 'tau3^-1', (0, 58): 't3*tau2*t3', }