U-tiling: UQC347
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc472 |
*22222 |
(2,4,2) |
{4,6} |
{3.8.8.3}{3.8.8.3.8.8} |
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
|
|
sqc6789
|
|
I4122 |
98 |
tetragonal |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1322
|
|
P42/mmc |
131 |
tetragonal |
{6,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {3.8.8.3}{3.8.8.3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.2:112:29 3 5 20 14 36 10 12 27 43 17 19 28 57 24 26 31 33 48 56 38 40 62 70 45 47 77 85 52 54 76 59 61 84 92 66 68 83 99 73 75 106 80 82 87 89 104 98 94 96 111 101 103 112 108 110,2 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 69 21 50 11 12 55 28 78 18 19 83 71 25 26 76 92 32 33 97 49 85 39 40 90 63 106 46 47 111 53 54 77 99 60 61 104 67 68 84 74 75 81 82 88 89 105 95 96 112 102 103 109 110:3 8 3 3 3 8 8 3 3 3 3 8,4 6 4 6 4 4 4 4 4 6 4 6> {(2, 61): 't1^-1', (0, 56): 't1^-1', (2, 56): 't1^-1', (0, 61): 'tau3*t2^-1', (0, 48): 'tau2^-1', (2, 55): 't3^-1*tau2^-1', (0, 55): 't3^-1', (0, 41): 't2', (0, 47): 'tau2^-1*t3^-1', (0, 62): 'tau3', (0, 27): 't1', (2, 27): 't1', (0, 19): 't1^-1', (2, 19): 't1^-1', (2, 14): 't1^-1', (1, 79): 't1', (1, 58): 't1^-1', (0, 104): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 111): 't1^-1*tau3^-1*t2', (0, 110): 'tau2^-1*t3^-1', (0, 97): 'tau1', (0, 103): 't1*tau3*t2^-1', (2, 90): 't3^-1*tau2^-1', (0, 105): 't1^-1', (2, 69): 't2^-1*tau3'}