U-tiling: UQC1820
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc130 |
2*26 |
(1,3,2) |
{5} |
{12.3.3.3.12} |
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
|
|
sqc1539
|
|
R-3m |
166 |
rhombohedral |
{5} |
6 |
(1,3) |
|
G
|
False
|
|
sqc7310
|
|
R-3c |
167 |
rhombohedral |
{5} |
12 |
(1,4) |
|
D
|
False
|
|
sqc1568
|
cab
|
Pm-3m |
221 |
cubic |
{5} |
6 |
(1,2) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {12.3.3.3.12}{3.3.12.12.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.2:120:91 102 103 6 7 28 29 20 81 112 113 16 17 38 39 111 72 73 26 27 50 101 62 63 36 37 60 51 92 93 46 47 68 69 82 83 56 57 78 79 71 66 67 90 76 77 100 86 87 108 109 96 97 118 119 106 107 120 116 117,2 4 25 106 8 10 12 14 35 116 18 20 22 24 76 28 30 32 34 66 38 40 42 44 65 96 48 50 52 54 75 86 58 60 62 64 68 70 72 74 78 80 82 84 105 88 90 92 94 115 98 100 102 104 108 110 112 114 118 120,21 3 5 7 9 110 31 13 15 17 19 120 23 25 27 29 80 33 35 37 39 70 61 43 45 47 49 100 71 53 55 57 59 90 63 65 67 69 73 75 77 79 101 83 85 87 89 111 93 95 97 99 103 105 107 109 113 115 117 119:12 3 3 12 3 3 3 3 3 3 3 3 3 3,5 5 5 5 5 5 5 5 5 5 5 5> {(0, 51): 't2', (0, 41): 't3', (0, 62): 't2^-1', (2, 49): 't3', (0, 22): 't3', (0, 12): 't1^-1', (0, 10): 'tau3', (1, 95): 't3^-1', (0, 30): 'tau3', (0, 52): 't2', (0, 42): 't3', (0, 2): 't1^-1', (0, 101): 't1', (2, 29): 't3', (1, 85): 't2^-1', (0, 60): 'tau1', (0, 61): 't2^-1', (0, 20): 'tau2^-1', (1, 75): 't3^-1', (2, 59): 't2', (1, 35): 't2', (0, 50): 'tau1^-1', (0, 21): 't3', (0, 11): 't1^-1', (2, 39): 't2', (0, 0): 'tau2^-1', (1, 115): 't1', (1, 105): 't1', (2, 9): 't1^-1', (2, 119): 't1', }