U-tiling: UQC3569
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc765 |
*2244 |
(3,4,2) |
{4,3,4} |
{12.5.5.12}{12.5.5}{5.5.5.5} |
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
|
|
sqc8147
|
|
P42/mmc |
131 |
tetragonal |
{4,3,4} |
18 |
(3,4) |
|
G
|
False
|
|
sqc8151
|
|
I-42d |
122 |
tetragonal |
{4,3,4} |
18 |
(3,5) |
|
D
|
False
|
|
sqc2206
|
|
P-42m |
111 |
tetragonal |
{3,4,4} |
9 |
(3,4) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {12.5.5.12}{12.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.1:128:49 3 5 14 8 57 11 13 16 25 19 21 38 24 27 29 46 32 41 35 37 40 43 45 48 51 53 62 56 59 61 64 113 67 69 78 72 121 75 77 80 89 83 85 102 88 91 93 110 96 105 99 101 104 107 109 112 115 117 126 120 123 125 128,2 19 6 7 16 10 27 14 15 18 22 23 40 26 30 31 48 34 51 38 39 42 59 46 47 50 54 55 64 58 62 63 66 83 70 71 80 74 91 78 79 82 86 87 104 90 94 95 112 98 115 102 103 106 123 110 111 114 118 119 128 122 126 127,65 4 5 70 23 24 73 12 13 78 31 32 81 20 21 86 89 28 29 94 97 36 37 102 55 56 105 44 45 110 63 64 113 52 53 118 121 60 61 126 68 69 87 88 76 77 95 96 84 85 92 93 100 101 119 120 108 109 127 128 116 117 124 125:12 5 5 5 5 12 5 5 5 5,4 3 4 4 3 4 4 4 3 4 3 4 4 3 4 3 3 3> {(2, 62): 't3^-1*tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1*t3^-1', (2, 54): 't3^-1', (2, 55): 't3^-1', (0, 56): 't3^-1*tau2^-1*t1', (1, 106): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 111): 't3*tau2*t1^-1', (0, 45): 't3*tau2*t1^-1', (1, 98): 'tau1', (2, 30): 't1', (2, 31): 't1', (2, 87): 't2^-1', (1, 82): 't2^-1', (1, 74): 'tau3', (0, 120): 't3^-1*tau2^-1*t1', (2, 118): 'tau1^-1', (2, 119): 'tau1^-1', (2, 111): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 47): 't3*tau2*t1^-1', (0, 109): 't3*tau2*t1^-1', (2, 126): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 34): 't3', (2, 94): 'tau3^-1', (2, 95): 'tau3^-1', (2, 86): 't2^-1', (1, 10): 't1^-1', (1, 42): 't3*tau2*t3'}