U-tiling: UQC1928
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1414 |
*2626 |
(2,5,4) |
{5,5} |
{12.4.3.4.12}{4.4.3.6.3} |
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
|
|
sqc7320
|
|
R-3m |
166 |
rhombohedral |
{5,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7314
|
|
R-3 |
148 |
rhombohedral |
{5,5} |
12 |
(2,6) |
|
D
|
False
|
|
sqc7308
|
|
R-3m |
166 |
rhombohedral |
{5,5} |
12 |
(2,5) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {12.4.3.4.12}{4.4.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<55.2:120:91 102 103 6 7 108 29 30 81 112 113 16 17 118 39 40 111 72 73 26 27 78 101 62 63 36 37 68 51 92 93 46 47 98 69 70 82 83 56 57 88 79 80 71 66 67 76 77 86 87 109 110 96 97 119 120 106 107 116 117,2 4 25 8 9 20 12 14 35 18 19 22 24 28 29 50 32 34 38 39 60 42 44 65 48 49 52 54 75 58 59 62 64 68 69 90 72 74 78 79 100 82 84 105 88 89 92 94 115 98 99 102 104 108 109 120 112 114 118 119,21 3 5 7 18 10 31 13 15 17 20 23 25 27 48 30 33 35 37 58 40 61 43 45 47 50 71 53 55 57 60 63 65 67 88 70 73 75 77 98 80 101 83 85 87 90 111 93 95 97 100 103 105 107 118 110 113 115 117 120:12 4 3 6 4 3 4 4 4 3 4 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', (0, 1): 't1^-1', (0, 22): 't3', (0, 12): 't1^-1', (0, 30): 'tau3', (0, 52): 't2', (0, 42): 't3', (0, 2): 't1^-1', (0, 27): 't3', (0, 60): 'tau1', (0, 20): 'tau2^-1', (0, 10): 'tau3', (0, 57): 't2', (0, 47): 't3', (0, 17): 't1^-1', (0, 7): 't1^-1', (0, 61): 't2^-1', (0, 50): 'tau1^-1', (0, 21): 't3', (0, 11): 't1^-1', (0, 0): 'tau2^-1', (0, 37): 't2', }