U-tiling: UQC1896
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1399 |
*2626 |
(2,4,4) |
{3,4} |
{12.8.6}{6.8.6.8} |
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) |
|
P
|
False
|
|
sqc7387
|
|
R-3m |
166 |
rhombohedral |
{4,3} |
18 |
(2,4) |
|
G
|
False
|
|
sqc7384
|
|
R-3 |
148 |
rhombohedral |
{4,3,3} |
18 |
(3,5) |
|
D
|
False
|
|
sqc7386
|
|
R-3m |
166 |
rhombohedral |
{4,3} |
18 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {12.8.6}{6.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:120:101 102 5 6 17 18 29 30 111 112 15 16 39 40 71 72 25 26 47 48 61 62 35 36 57 58 91 92 45 46 69 70 81 82 55 56 79 80 65 66 87 88 75 76 97 98 85 86 109 110 95 96 119 120 105 106 117 118 115 116,91 3 94 7 10 9 81 13 84 17 20 19 111 23 114 27 30 29 101 33 104 37 40 39 51 43 54 47 50 49 53 57 60 59 71 63 74 67 70 69 73 77 80 79 83 87 90 89 93 97 100 99 103 107 110 109 113 117 120 119,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120:6 8 6 12 6 8 8 6,4 3 4 3 4 3 4 3 4 3 3 4 3 3 3 3 3 3> {(0, 51): 't2', (0, 41): 't3', (0, 1): 't1^-1', (1, 83): 'tau3^-1', (1, 73): 'tau1^-1', (1, 33): 'tau3', (1, 113): 'tau2', (1, 10): 'tau3', (0, 60): 't2^-1', (1, 90): 'tau2', (1, 110): 'tau2', (0, 20): 't3', (0, 10): 't1^-1', (1, 50): 'tau1^-1', (1, 70): 'tau1^-1', (1, 93): 'tau2', (0, 61): 't2^-1', (0, 50): 't2', (0, 40): 't3', (0, 21): 't3', (0, 11): 't1^-1', (1, 100): 'tau3^-1', (0, 0): 't1^-1', (1, 43): 'tau1', }