U-tiling: UQC501
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc339 |
*2244 |
(2,4,3) |
{5,8} |
{4.4.4.4.4}{4.4.4.4.4.4.4.4} |
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
|
True
|
|
sqc1067
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
5 |
(2,4) |
G
|
False
|
|
sqc6355
|
|
I-42d |
122 |
tetragonal |
{8,5} |
10 |
(2,4) |
D
|
False
|
|
sqc1363
|
|
P-42m |
111 |
tetragonal |
{5,8} |
5 |
(2,4) |
Topological data
Vertex degrees | {5,8} |
2D vertex symbol | {4.4.4.4.4}{4.4.4.4.4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.1:112:57 3 60 61 13 14 64 10 67 68 71 17 74 75 34 35 78 24 81 82 41 42 85 31 88 89 92 38 95 96 99 45 102 103 55 56 106 52 109 110 59 69 70 66 73 90 91 80 97 98 87 94 101 111 112 108,2 4 6 21 9 11 13 28 16 18 20 23 25 27 30 32 34 49 37 39 41 56 44 46 48 51 53 55 58 60 62 77 65 67 69 84 72 74 76 79 81 83 86 88 90 105 93 95 97 112 100 102 104 107 109 111,43 16 17 5 7 50 23 24 12 14 22 19 21 26 28 36 44 45 33 35 51 52 40 42 47 49 54 56 99 72 73 61 63 106 79 80 68 70 78 75 77 82 84 92 100 101 89 91 107 108 96 98 103 105 110 112:4 4 4 4 4 4 4 4 4 4 4 4 4 4,8 5 5 5 5 8 5 5 5 5> {(0, 41): 't3*tau2*t1^-1', (1, 48): 't3^-1', (2, 49): 't3^-1*tau2^-1*t1', (0, 96): 't3*tau2*t1^-1', (1, 104): 'tau1^-1', (1, 83): 'tau3^-1', (1, 76): 't2^-1', (1, 55): 't3^-1*tau2^-1*t3^-1', (2, 57): 't2', (2, 50): 't3^-1*tau2^-1*t3^-1', (0, 97): 't3*tau2*t1^-1', (2, 44): 't3^-1', (2, 106): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 13): 't1^-1', (2, 29): 't3', (2, 22): 't1', (2, 58): 't2', (2, 78): 'tau3^-1', (2, 51): 't3^-1*tau2^-1*t3^-1', (2, 107): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 63): 't1^-1*tau2*t3', (2, 100): 'tau1^-1', (1, 97): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 23): 't1', (2, 85): 'tau1', (2, 79): 'tau3^-1', (0, 40): 't3*tau2*t1^-1', }