U-tiling: UQC605
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc397 |
*2244 |
(2,3,3) |
{4,3} |
{4.6.12.6}{6.12.12} |
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) |
P
|
False
|
|
sqc6939
|
|
P42/mmc |
131 |
tetragonal |
{3,4} |
16 |
(2,3) |
G
|
False
|
|
sqc6925
|
|
I-42d |
122 |
tetragonal |
{3,4} |
16 |
(2,4) |
D
|
False
|
|
sqc1432
|
|
P-42m |
111 |
tetragonal |
{3,4} |
8 |
(2,3) |
Topological data
Vertex degrees | {4,3} |
2D vertex symbol | {4.6.12.6}{6.12.12} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.1:112:8 4 5 48 49 11 12 55 56 29 18 19 27 28 36 25 26 32 33 41 42 39 40 50 46 47 53 54 64 60 61 104 105 67 68 111 112 85 74 75 83 84 92 81 82 88 89 97 98 95 96 106 102 103 109 110,2 59 18 6 21 9 66 25 13 28 16 73 20 23 80 27 30 87 46 34 49 37 94 53 41 56 44 101 48 51 108 55 58 74 62 77 65 81 69 84 72 76 79 83 86 102 90 105 93 109 97 112 100 104 107 111,57 3 5 7 64 10 12 14 71 17 19 21 78 24 26 28 85 31 33 35 92 38 40 42 99 45 47 49 106 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112:12 6 4 6 6 6 12 4,3 4 3 4 3 3 3 4 3 4 3 3 4 4 4 4> {(1, 83): 'tau3^-1', (1, 24): 't1', (1, 76): 't2^-1', (1, 108): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 55): 't3^-1*tau2^-1*t3^-1', (1, 45): 't3^-1', (1, 80): 'tau3^-1', (1, 27): 't1', (1, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 55): 't3^-1*tau2^-1*t1', (1, 101): 'tau1^-1', (1, 104): 'tau1^-1', (0, 54): 't3^-1*tau2^-1*t1', (0, 35): 't3*tau2*t1^-1', (1, 73): 't2^-1', (0, 111): 't3^-1*tau2^-1*t1', (0, 110): 't3^-1*tau2^-1*t1', (0, 91): 't3*tau2*t1^-1', (1, 48): 't3^-1', (1, 52): 't3^-1*tau2^-1*t3^-1', }