U-tiling: UQC389
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc478 |
*22222 |
(2,4,2) |
{8,3} |
{6.4.4.6.6.4.4.6}{6.4.4} |
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
|
|
sqc6292
|
|
P4/mmm |
123 |
tetragonal |
{3,8} |
12 |
(2,4) |
|
G
|
False
|
|
sqc6294
|
|
I4122 |
98 |
tetragonal |
{3,8} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1232
|
|
P4222 |
93 |
tetragonal |
{3,8} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {6.4.4.6.6.4.4.6}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.3:112:15 4 5 20 35 22 11 12 27 42 18 19 49 25 26 63 43 32 33 48 57 39 40 62 46 47 71 53 54 76 91 60 61 78 67 68 83 98 74 75 105 81 82 112 99 88 89 104 106 95 96 111 102 103 109 110,2 66 6 7 9 52 13 14 16 80 20 21 23 73 27 28 30 94 34 35 37 87 41 42 44 108 48 49 51 55 56 58 101 62 63 65 69 70 72 76 77 79 83 84 86 90 91 93 97 98 100 104 105 107 111 112,64 3 5 13 21 50 10 12 28 78 17 19 27 71 24 26 92 31 33 55 49 85 38 40 69 63 106 45 47 76 52 54 77 99 59 61 83 66 68 84 73 75 80 82 87 89 97 105 94 96 112 101 103 111 108 110:4 6 4 6 6 6 4 4 4 4 4 4,3 8 3 3 3 3 8 3 8 3 3 8> {(0, 103): 't1*tau3*t2^-1', (2, 27): 't1', (2, 47): 'tau2^-1', (2, 14): 't1^-1', (2, 56): 't1^-1', (0, 84): 't2*tau3^-1*t1^-1', (0, 111): 't1^-1', (2, 61): 'tau3', (2, 54): 't3^-1', (0, 19): 't1^-1', (2, 90): 't3^-1*tau2^-1', (2, 110): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 83): 'tau3^-1*t2', (0, 42): 'tau2^-1*t3^-1', (0, 56): 'tau3*t2^-1', (2, 40): 't2', (0, 27): 't1', (2, 55): 't3^-1*tau2^-1', (2, 111): 't1^-1*tau3^-1*t2', (1, 79): 't1', (0, 47): 'tau2^-1*t3^-1', (0, 14): 't1^-1', (0, 61): 'tau3*t2^-1', (2, 96): 'tau1', (1, 58): 't1^-1', (2, 19): 't1^-1', (0, 110): 'tau2^-1*t3^-1', (0, 91): 't3*tau2', }