U-tiling: UQC235
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc267 |
*22222 |
(2,3,2) |
{6,6} |
{3.6.3.3.6.3}{3.6.6.3.6.6} |
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) |
G
|
False
|
|
sqc5012
|
|
I4122 |
98 |
tetragonal |
{6,6} |
8 |
(2,4) |
D
|
False
|
|
sqc879
|
|
P42/mmc |
131 |
tetragonal |
{6,6} |
4 |
(2,3) |
Topological data
Vertex degrees | {6,6} |
2D vertex symbol | {3.6.3.3.6.3}{3.6.6.3.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.2:96:25 3 5 12 31 9 11 37 15 17 24 49 21 23 27 29 48 33 35 60 39 41 66 73 45 47 51 53 72 79 57 59 85 63 65 91 69 71 75 77 84 81 83 87 89 96 93 95,2 27 16 6 8 33 22 12 14 39 18 20 51 24 26 40 30 32 52 36 38 42 44 75 64 48 50 54 56 81 70 60 62 87 66 68 93 72 74 88 78 80 94 84 86 90 92 96,55 4 5 18 43 10 11 24 67 16 17 61 22 23 79 28 29 42 73 34 35 54 91 40 41 46 47 66 85 52 53 58 59 72 64 65 70 71 76 77 90 82 83 96 88 89 94 95:3 6 3 3 3 6 6 3 3 3 3 6,6 6 6 6 6 6 6 6> {(0, 59): 't2^-1', (2, 23): 't1', (2, 59): 't2^-1*tau3', (0, 48): 't1^-1', (2, 48): 't1^-1', (0, 53): 'tau3', (0, 41): 'tau2^-1', (0, 47): 't3^-1', (1, 93): 'tau2^-1*t3^-1', (1, 92): 't1^-1', (0, 17): 't1^-1', (1, 87): 't1*tau3*t2^-1', (2, 12): 't1^-1', (1, 51): 'tau3*t2^-1', (1, 50): 't1^-1', (0, 89): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 39): 'tau2^-1*t3^-1', (0, 90): 't1^-1', (2, 95): 't1^-1*tau3^-1*t2', (0, 83): 'tau1', (2, 77): 't3^-1*tau2^-1', (1, 15): 't1^-1', (2, 65): 'tau2*t3'}