U-tiling: UQC2387
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1262 |
*4444 |
(2,5,5) |
{7,3} |
{4.8.8.4.4.8.8}{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
|
True
|
|
sqc2744
|
|
P-4m2 |
115 |
tetragonal |
{6,3} |
8 |
(2,5) |
|
G
|
False
|
|
sqc3457
|
|
I-4 |
82 |
tetragonal |
{7,3} |
8 |
(2,5) |
|
D
|
False
|
|
sqc3374
|
|
I4/mmm |
139 |
tetragonal |
{7,3} |
8 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {4.8.8.4.4.8.8}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:80:3 22 24 25 26 67 68 29 30 13 32 34 35 36 77 78 39 40 23 37 38 33 43 62 64 65 66 57 58 69 70 53 72 74 75 76 79 80 63 73,2 4 15 7 9 20 12 14 17 19 22 24 45 27 29 50 32 34 55 37 39 60 42 44 47 49 52 54 57 59 62 64 75 67 69 80 72 74 77 79,11 6 13 5 8 10 16 15 18 20 41 26 43 25 28 30 51 36 53 35 38 40 46 45 48 50 56 55 58 60 71 66 73 65 68 70 76 75 78 80:4 4 8 8 4 4 4 4,7 3 7 3 7 3 7 3> {(0, 29): 't2^-1', (0, 51): 't3*tau2*t3', (0, 55): 't3*tau2*t3', (0, 45): 't3', (0, 34): 't1', (0, 59): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 48): 'tau1', (0, 38): 'tau3^-1', (0, 63): 't3^-1', (2, 50): 't3*tau2*t1^-1', (0, 35): 't1', (0, 49): 'tau1', (0, 39): 'tau3^-1', (0, 16): 't1^-1*tau2*t3', (1, 54): 't3*tau2*t1^-1', (0, 31): 't1', (0, 53): 't3*tau2*t3', (1, 59): 't3*tau2*t1^-1', (0, 17): 't1^-1*tau2*t3', (0, 61): 't3^-1', (0, 28): 't2^-1', (2, 52): 't3*tau2*t1^-1', (0, 33): 't1', (0, 54): 't3*tau2*t3', (0, 44): 't3', (0, 58): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', }