U-tiling: UQC359
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc473 |
*22222 |
(2,4,2) |
{8,3} |
{3.8.8.3.3.8.8.3}{3.8.8} |
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
|
|
sqc6685
|
|
I4122 |
98 |
tetragonal |
{8,3} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1173
|
|
P42/mmc |
131 |
tetragonal |
{8,3} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.2:112:29 3 5 13 21 36 10 12 28 43 17 19 27 57 24 26 31 33 55 49 38 40 69 63 45 47 76 85 52 54 77 59 61 83 92 66 68 84 99 73 75 106 80 82 87 89 97 105 94 96 112 101 103 111 108 110,2 31 6 7 9 38 13 14 16 45 20 21 23 59 27 28 30 34 35 37 41 42 44 48 49 51 87 55 56 58 62 63 65 94 69 70 72 101 76 77 79 108 83 84 86 90 91 93 97 98 100 104 105 107 111 112,64 4 5 20 35 50 11 12 27 42 78 18 19 49 71 25 26 63 92 32 33 48 85 39 40 62 106 46 47 53 54 76 91 99 60 61 67 68 83 98 74 75 105 81 82 112 88 89 104 95 96 111 102 103 109 110:3 8 3 3 3 8 8 3 3 3 3 8,8 3 8 3 3 3 8 8 3 3 3 3> {(2, 61): 'tau3*t2^-1', (2, 62): 't1^-1', (2, 56): 't1^-1', (0, 61): 'tau3', (0, 54): 't3^-1', (0, 55): 't3^-1*tau2^-1', (0, 40): 't2', (2, 47): 'tau2^-1*t3^-1', (0, 47): 'tau2^-1', (0, 21): 't1', (0, 26): 't1', (0, 27): 't1', (0, 97): 't2^-1*tau3*t1', (2, 19): 't1^-1', (2, 14): 't1^-1', (1, 79): 't1', (1, 58): 't1^-1', (0, 104): 'tau2*t3', (2, 111): 't1^-1', (0, 110): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 96): 'tau1', (2, 103): 't1*tau3*t2^-1', (0, 83): 'tau3^-1*t2', (2, 110): 'tau2^-1*t3^-1', (0, 105): 't1^-1'}