U-tiling: UQC3833
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc882 |
*2244 |
(3,3,2) |
{6,12,8} |
{4.3.3.4.3.3}{4.3.3.4.3.3.4.3.3.... |
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
|
|
sqc7586
|
|
P42/mmc |
131 |
tetragonal |
{6,12,8} |
8 |
(3,3) |
|
G
|
False
|
|
sqc7489
|
|
I-42d |
122 |
tetragonal |
{6,12,8} |
8 |
(3,4) |
|
D
|
False
|
|
sqc1845
|
|
P-42m |
111 |
tetragonal |
{12,6,8} |
4 |
(3,3) |
Topological data
| Vertex degrees | {6,12,8} |
| 2D vertex symbol | {4.3.3.4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:128:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,65 10 5 8 7 73 13 16 15 81 34 21 24 23 89 42 29 32 31 97 37 40 39 105 45 48 47 113 58 53 56 55 121 61 64 63 74 69 72 71 77 80 79 98 85 88 87 106 93 96 95 101 104 103 109 112 111 122 117 120 119 125 128 127,3 4 53 54 23 24 11 12 61 62 31 32 19 20 29 30 27 28 35 36 45 46 55 56 43 44 63 64 51 52 59 60 67 68 117 118 87 88 75 76 125 126 95 96 83 84 93 94 91 92 99 100 109 110 119 120 107 108 127 128 115 116 123 124:4 3 3 4 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3,6 12 8 6 6 6 12 8> {(2, 60): 't3^-1*tau2^-1*t1', (2, 61): 't3^-1*tau2^-1*t1', (2, 62): 't3^-1*tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1*t3^-1', (2, 87): 't2^-1', (2, 119): 'tau1^-1', (2, 125): 't3^-1*tau2^-1*t1', (1, 41): 't3*tau2*t1^-1', (2, 86): 't2^-1', (2, 54): 't3^-1', (2, 55): 't3^-1', (2, 30): 't1', (1, 105): 't3*tau2*t1^-1', (2, 31): 't1', (2, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 95): 'tau3^-1', (2, 126): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 94): 'tau3^-1', (2, 124): 't3^-1*tau2^-1*t1', (2, 118): 'tau1^-1'}