U-tiling: UQC502
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc340 |
*2244 |
(2,4,3) |
{5,4} |
{4.8.4.4.8}{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
|
False
|
|
sqc1253
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
6 |
(2,4) |
G
|
False
|
|
sqc6332
|
|
I41/a |
88 |
tetragonal |
{4,5} |
12 |
(2,4) |
D
|
False
|
|
sqc6331
|
|
I41/amd |
141 |
tetragonal |
{4,5} |
12 |
(2,4) |
Topological data
Vertex degrees | {5,4} |
2D vertex symbol | {4.8.4.4.8}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:112:43 3 46 47 20 21 50 10 53 54 27 28 57 17 60 61 71 24 74 75 78 31 81 82 97 98 64 38 67 68 111 112 45 69 70 52 83 84 59 90 91 66 73 104 105 80 106 87 109 110 99 94 102 103 101 108,2 4 6 49 9 11 13 56 16 18 20 63 23 25 27 77 30 32 34 84 37 39 41 70 44 46 48 51 53 55 58 60 62 65 67 69 72 74 76 79 81 83 86 88 90 112 93 95 97 105 100 102 104 107 109 111,8 44 45 5 7 51 52 12 14 29 58 59 19 21 36 72 73 26 28 79 80 33 35 65 66 40 42 50 47 49 54 56 78 61 63 71 68 70 75 77 82 84 99 107 108 89 91 106 100 101 96 98 103 105 110 112:4 8 4 4 8 4 4 4 4 4 4 4,4 5 5 4 5 4 5 5 5 4 5 5> {(2, 56): 't3', (0, 45): 't1', (2, 105): 'tau1', (0, 59): 't3*tau2', (2, 98): 'tau1^-1', (2, 28): 't3^-1', (0, 38): 't2^-1*tau3', (0, 63): 'tau3^-1*t2', (0, 52): 't1', (0, 42): 't1', (0, 108): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 56): 't3*tau2', (0, 101): 't2*tau3^-1*t1^-1*tau2*t3', (0, 46): 't1', (0, 49): 't1', (0, 39): 't2^-1*tau3', (0, 60): 't3*tau2', (0, 105): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 31): 't3^-1*tau2^-1', (0, 53): 't1', (0, 32): 't3^-1*tau2^-1', (0, 109): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 63): 't2^-1', (0, 98): 't2*tau3^-1*t1^-1*tau2*t3', (0, 24): 'tau3*t2^-1', (0, 102): 't2*tau3^-1*t1^-1*tau2*t3', (0, 28): 't3^-1*tau2^-1', (0, 21): 'tau3*t2^-1', (0, 25): 'tau3*t2^-1', (2, 35): 't2^-1', }