U-tiling: UQC5259
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1563 |
*4444 |
(5,4,2) |
{4,16,3,4,4} |
{4.4.4.4}{4.6.6.4.4.6.6.4.4.6.6.... |
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
|
|
sqc2224
|
|
P-4m2 |
115 |
tetragonal |
{4,14,3,4} |
7 |
(4,4) |
|
G
|
False
|
|
sqc3313
|
|
I-42m |
121 |
tetragonal |
{4,16,3,4} |
8 |
(4,4) |
|
D
|
False
|
|
sqc3312
|
|
I-4m2 |
119 |
tetragonal |
{4,16,3,4,4} |
8 |
(5,4) |
Topological data
| Vertex degrees | {4,16,3,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.6.6.4.4.6.6.4.4.6.6.4.4.6.6.4}{4.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.1:80:2 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 80,11 3 14 7 9 28 30 13 17 19 38 40 41 23 44 27 29 51 33 54 37 39 43 47 49 68 70 53 57 59 78 80 71 63 74 67 69 73 77 79,21 22 5 6 67 68 19 20 31 32 15 16 77 78 25 26 37 38 49 50 35 36 59 60 61 62 45 46 57 58 71 72 55 56 65 66 79 80 75 76:4 6 6 4 4 6 6 4,4 16 3 4 4 3 3 3> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (2, 30): 'tau3^-1', (2, 31): 'tau3^-1', (2, 58): 't3*tau2*t1^-1', (2, 59): 't3*tau2*t1^-1', (2, 20): 't2^-1', (2, 21): 't2^-1', (1, 50): 't3*tau2*t1^-1', (2, 16): 't1^-1*tau2*t3', (2, 17): 't1^-1*tau2*t3', (2, 50): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 51): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 53): 't3*tau2*t1^-1', (1, 77): 't3^-1*tau2^-1*t3^-1', (1, 79): 't3^-1*tau2^-1*t3^-1', (1, 37): 't1', (1, 67): 't3^-1', (1, 69): 't3^-1', (1, 39): 't1'}