U-tiling: UQC295
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc285 |
*2244 |
(2,3,2) |
{4,8} |
{3.12.12.3}{3.12.3.12.3.12.3.12} |
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) |
G
|
False
|
|
sqc5405
|
|
I-42d |
122 |
tetragonal |
{4,8} |
10 |
(2,4) |
D
|
False
|
|
sqc904
|
|
P4/mmm |
123 |
tetragonal |
{4,8} |
5 |
(2,3) |
Topological data
Vertex degrees | {4,8} |
2D vertex symbol | {3.12.12.3}{3.12.3.12.3.12.3.12} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:96:37 3 5 12 43 9 11 19 15 17 30 21 23 36 31 27 29 33 35 39 41 48 45 47 85 51 53 60 91 57 59 67 63 65 78 69 71 84 79 75 77 81 83 87 89 96 93 95,2 39 6 17 8 45 12 23 14 21 18 20 24 26 33 30 41 32 36 47 38 42 44 48 50 87 54 65 56 93 60 71 62 69 66 68 72 74 81 78 89 80 84 95 86 90 92 96,49 4 5 54 55 10 11 60 61 16 17 66 67 22 23 72 73 28 29 78 79 34 35 84 85 40 41 90 91 46 47 96 52 53 58 59 64 65 70 71 76 77 82 83 88 89 94 95:3 12 3 3 3 3 12 3 3 3,4 8 4 4 4 4 4 4 4 8> {(1, 88): 'tau1^-1', (1, 92): 't3^-1*tau2^-1*t1', (1, 94): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 83): 't3*tau2*t1^-1', (1, 46): 't3^-1*tau2^-1*t3^-1', (0, 54): 't1^-1*tau2*t3', (1, 22): 't1', (0, 42): 't3^-1*tau2^-1*t1', (1, 40): 't3^-1', (1, 44): 't3^-1*tau2^-1*t1', (1, 64): 't2^-1', (0, 35): 't3*tau2*t1^-1', (1, 70): 'tau3^-1'}