U-tiling: UQC1366
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc599 |
*2244 |
(2,3,4) |
{6,4} |
{4.4.3.8.3.4}{3.8.3.8} |
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
|
|
sqc7893
|
|
P42/mmc |
131 |
tetragonal |
{4,6} |
12 |
(2,3) |
|
G
|
False
|
|
sqc7637
|
|
I-42d |
122 |
tetragonal |
{4,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc2009
|
|
P-42m |
111 |
tetragonal |
{6,4} |
6 |
(2,3) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.3.8.3.4}{3.8.3.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<67.1:128:3 4 69 70 15 16 11 12 77 78 19 20 85 86 39 40 27 28 93 94 47 48 35 36 101 102 43 44 109 110 51 52 117 118 63 64 59 60 125 126 67 68 79 80 75 76 83 84 103 104 91 92 111 112 99 100 107 108 115 116 127 128 123 124,49 66 19 5 7 24 57 74 27 13 15 32 25 82 21 23 90 29 31 41 98 51 37 39 56 106 59 45 47 64 114 53 55 122 61 63 113 83 69 71 88 121 91 77 79 96 89 85 87 93 95 105 115 101 103 120 123 109 111 128 117 119 125 127,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:8 3 4 4 3 3 4 3 4 3 3 3 4 3 8 4,4 6 4 6 4 4 6 6 6 6 6 6> {(1, 114): 'tau1^-1', (1, 120): 't3^-1*tau2^-1*t1', (0, 110): 't3*tau2*t1^-1', (0, 31): 't1*tau2^-1*t3^-1', (1, 55): 't3^-1', (1, 122): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 95): 't1*tau2^-1*t3^-1', (1, 119): 'tau1^-1', (1, 87): 't2^-1', (1, 56): 't3^-1*tau2^-1*t1', (1, 50): 't3^-1', (1, 90): 'tau3^-1', (0, 46): 't3*tau2*t1^-1', (1, 42): 't3*tau2*t3', (1, 82): 't2^-1', (1, 31): 't1', (1, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 63): 't3^-1*tau2^-1*t3^-1', (1, 10): 't1^-1', (1, 95): 'tau3^-1', }