U-tiling: UQC3269
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc254 |
*2244 |
(3,3,2) |
{6,4,4} |
{4.5.5.4.5.5}{5.5.5.5}{5.5.5.5} |
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
|
|
sqc882
|
|
P4/mmm |
123 |
tetragonal |
{4,4,6} |
5 |
(3,3) |
|
G
|
False
|
|
sqc4992
|
|
I41/a |
88 |
tetragonal |
{6,4,4} |
10 |
(3,3) |
|
D
|
False
|
|
sqc5562
|
|
I41/amd |
141 |
tetragonal |
{6,4,4} |
10 |
(3,3) |
Topological data
| Vertex degrees | {6,4,4} |
| 2D vertex symbol | {4.5.5.4.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:96:13 14 4 6 19 20 10 12 16 18 22 24 79 80 28 30 91 92 34 36 55 56 40 42 67 68 46 48 73 74 52 54 58 60 85 86 64 66 70 72 76 78 82 84 88 90 94 96,37 3 5 18 43 9 11 24 49 15 17 61 21 23 67 27 29 84 55 33 35 96 39 41 60 45 47 72 51 53 78 57 59 63 65 90 69 71 91 75 77 85 81 83 87 89 93 95,2 9 10 41 42 8 47 48 14 27 28 53 54 20 33 34 65 66 26 71 72 32 59 60 38 45 46 44 50 69 70 56 63 64 62 68 74 87 88 95 96 80 93 94 89 90 86 92:4 5 4 5 5 5 5 5 5 5,6 4 4 4 6 4 6 4 6 4> {(2, 92): 'tau1', (2, 93): 'tau1', (2, 62): 't2', (2, 63): 't2', (1, 60): 't2*tau3^-1', (2, 26): 't3^-1', (2, 27): 't3^-1', (1, 48): 't3*tau2', (1, 54): 'tau3^-1*t2', (2, 87): 'tau1^-1', (1, 84): 't2*tau3^-1*t1^-1*tau2*t3', (2, 50): 't3', (2, 51): 't3', (1, 42): 't1', (1, 90): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 0): 't1^-1', (1, 66): 'tau2*t3', (2, 32): 't2^-1', (2, 33): 't2^-1', (2, 86): 'tau1^-1'}