U-tiling: UQC3727
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc819 |
*22222 |
(3,4,2) |
{4,4,4} |
{3.10.10.3}{3.10.3.10}{10.10.10.10} |
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) |
|
G
|
False
|
|
sqc8048
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1989
|
|
P42/mmc |
131 |
tetragonal |
{4,4,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {3.10.10.3}{3.10.3.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.2:128:33 3 5 7 16 41 11 13 15 49 19 21 23 32 65 27 29 31 35 37 39 64 43 45 47 80 51 53 55 88 97 59 61 63 67 69 71 96 105 75 77 79 113 83 85 87 121 91 93 95 99 101 103 112 107 109 111 115 117 119 128 123 125 127,2 35 6 21 8 10 43 14 29 16 18 51 22 24 26 67 30 32 34 38 53 40 42 46 69 48 50 54 56 58 99 62 85 64 66 70 72 74 107 78 93 80 82 115 86 88 90 123 94 96 98 102 117 104 106 110 125 112 114 118 120 122 126 128,73 4 5 78 79 24 57 12 13 62 63 32 89 20 21 94 95 81 28 29 86 87 105 36 37 110 111 56 97 44 45 102 103 72 121 52 53 126 127 60 61 88 113 68 69 118 119 76 77 96 84 85 92 93 100 101 120 108 109 128 116 117 124 125:3 10 3 3 3 10 10 3 3 3 3 10,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 122): 't1^-1', (1, 124): 't1^-1*tau3^-1*t2', (2, 55): 'tau2^-1*t3^-1', (1, 116): 'tau2*t3', (2, 47): 't2*tau3^-1', (0, 47): 't2', (0, 63): 't3^-1', (0, 24): 't1', (0, 31): 't1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 16): 't1^-1', (1, 84): 'tau2*t3', (1, 76): 't2^-1*tau3', (2, 127): 'tau2^-1*t3^-1', (0, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 117): 't1', (2, 118): 't1', (2, 119): 't1*tau3*t2^-1', (2, 112): 't1', (0, 55): 'tau2^-1', (0, 111): 'tau1', (0, 88): 't1', (1, 26): 't1', (0, 95): 'tau3^-1', (1, 12): 't1^-1'}