U-tiling: UQC1817
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc128 |
2*222 |
(1,3,2) |
{5} |
{4.6.6.6.4} |
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
|
|
sqc3591
|
|
P42/nnm |
134 |
tetragonal |
{5} |
8 |
(1,3) |
|
G
|
False
|
|
sqc13
|
sqp
|
I4/mmm |
139 |
tetragonal |
{5} |
2 |
(1,2) |
|
D
|
False
|
|
sqc3740
|
|
I41/amd |
141 |
tetragonal |
{5} |
8 |
(1,3) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {4.6.6.6.4}{6.6.4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.1:80:21 42 43 6 7 28 29 50 31 62 63 16 17 38 39 70 72 73 26 27 80 52 53 36 37 60 71 46 47 78 79 61 56 57 68 69 66 67 76 77,2 4 15 56 8 10 12 14 76 18 20 22 24 35 66 28 30 32 34 46 38 40 42 44 65 48 50 52 54 75 58 60 62 64 68 70 72 74 78 80,11 3 5 7 9 60 13 15 17 19 80 31 23 25 27 29 70 33 35 37 39 50 61 43 45 47 49 71 53 55 57 59 63 65 67 69 73 75 77 79:4 6 6 4 4 6 4 6,5 5 5 5 5 5 5 5> {(0, 51): 't3^-1*tau2^-1', (0, 41): 't3*tau2', (0, 62): 't2*tau3^-1', (2, 49): 't3', (0, 22): 'tau3^-1*t2', (1, 64): 'tau1^-1', (1, 55): 't3^-1', (1, 45): 't3', (0, 30): 't1', (2, 50): 'tau1^-1', (0, 42): 't3*tau2', (2, 29): 't2^-1', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 't2*tau3^-1', (0, 20): 't1', (0, 32): 'tau2*t3', (1, 75): 't2^-1', (2, 59): 't3^-1', (2, 79): 't2^-1', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 21): 'tau3^-1*t2', (1, 74): 'tau1', (1, 65): 't2', (2, 60): 'tau1^-1', }