U-tiling: UQC1936
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc147 |
2*26 |
(1,3,2) |
{5} |
{6.4.4.4.4} |
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
|
|
sqc1522
|
fnq
|
R-3m |
166 |
rhombohedral |
{5} |
6 |
(1,3) |
|
G
|
False
|
|
sqc7322
|
wlr
|
R-3c |
167 |
rhombohedral |
{5} |
12 |
(1,4) |
|
D
|
False
|
|
sqc12
|
bnn
|
P6/mmm |
191 |
hexagonal |
{5} |
2 |
(1,2) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {6.4.4.4.4}{4.4.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.1:120:21 4 5 26 27 108 109 110 31 14 15 36 37 118 119 120 24 25 78 79 80 34 35 68 69 70 61 44 45 66 67 98 99 100 71 54 55 76 77 88 89 90 64 65 74 75 101 84 85 106 107 111 94 95 116 117 104 105 114 115,2 9 6 8 17 100 12 19 16 18 90 22 29 26 28 47 120 32 39 36 38 57 110 42 49 46 48 60 52 59 56 58 62 69 66 68 87 80 72 79 76 78 97 82 89 86 88 92 99 96 98 102 109 106 108 117 112 119 116 118,91 3 5 7 18 10 81 13 15 17 20 111 23 25 27 48 30 101 33 35 37 58 40 51 43 45 47 50 53 55 57 60 71 63 65 67 88 70 73 75 77 98 80 83 85 87 90 93 95 97 100 103 105 107 118 110 113 115 117 120:4 4 6 6 4 4 4 4 4 4 4 4 4 4,5 5 5 5 5 5 5 5 5 5 5 5> {(0, 29): 't3', (0, 18): 't1^-1', (0, 8): 't1^-1', (2, 10): 'tau3', (0, 59): 't2', (0, 48): 't3', (0, 38): 't2', (0, 19): 't1^-1', (0, 9): 't1^-1', (2, 20): 'tau2^-1', (2, 50): 'tau1^-1', (0, 27): 't3', (0, 49): 't3', (0, 39): 't2', (2, 0): 'tau2^-1', (1, 59): 'tau1^-1', (1, 79): 'tau1^-1', (1, 99): 'tau2', (0, 57): 't2', (0, 47): 't3', (2, 30): 'tau3', (0, 17): 't1^-1', (1, 89): 'tau3^-1', (0, 7): 't1^-1', (0, 28): 't3', (1, 119): 'tau2', (1, 109): 'tau3^-1', (0, 37): 't2', (0, 58): 't2', (2, 60): 'tau1', }