U-tiling: UQC4247
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc912 |
*2244 |
(4,3,2) |
{4,4,4,4} |
{4.4.4.4}{4.8.8.4}{4.8.4.8}{8.8.... |
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
|
|
sqc8118
|
|
P42/mmc |
131 |
tetragonal |
{4,4,4,4} |
16 |
(4,3) |
|
G
|
False
|
|
sqc8124
|
|
I-42d |
122 |
tetragonal |
{4,4,4,4} |
16 |
(4,4) |
|
D
|
False
|
|
sqc2204
|
|
P-42m |
111 |
tetragonal |
{4,4,4,4} |
8 |
(4,3) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4}{4.8.4.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<70.1:128:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,49 3 52 7 70 16 57 11 60 15 78 25 19 28 23 86 40 27 31 94 48 41 35 44 39 102 43 47 110 51 55 118 64 59 63 126 113 67 116 71 80 121 75 124 79 89 83 92 87 104 91 95 112 105 99 108 103 107 111 115 119 128 123 127,17 18 5 6 23 24 25 26 13 14 31 32 21 22 29 30 49 50 37 38 55 56 57 58 45 46 63 64 53 54 61 62 81 82 69 70 87 88 89 90 77 78 95 96 85 86 93 94 113 114 101 102 119 120 121 122 109 110 127 128 117 118 125 126:4 8 4 4 8 8 4 8 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 120): 't3^-1*tau2^-1*t1', (2, 62): 't3^-1*tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1*t3^-1', (2, 56): 't3^-1*tau2^-1*t3^-1', (2, 57): 't3^-1*tau2^-1*t3^-1', (2, 54): 't3^-1', (2, 55): 't3^-1', (2, 48): 't3^-1', (2, 49): 't3^-1', (1, 111): 't3*tau2*t1^-1', (2, 30): 't1', (2, 31): 't1', (2, 24): 't1', (2, 25): 't1', (1, 75): 't1^-1*tau2*t3', (1, 56): 't3^-1*tau2^-1*t1', (1, 59): 't3^-1*tau2^-1*t1', (2, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 120): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 121): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 118): 'tau1^-1', (2, 119): 'tau1^-1', (2, 112): 'tau1^-1', (2, 113): 'tau1^-1', (2, 110): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 47): 't3*tau2*t1^-1', (2, 94): 'tau3^-1', (2, 95): 'tau3^-1', (2, 88): 'tau3^-1', (2, 89): 'tau3^-1', (2, 86): 't2^-1', (2, 87): 't2^-1', (2, 80): 't2^-1', (2, 81): 't2^-1'}