U-tiling: UQC6055
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc95 |
*2224 |
(2,3,1) |
{4,8} |
{4.4.4.4}{4.4.4.4.4.4.4.4} |
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
|
|
sqc7544
|
|
P42/nnm |
134 |
tetragonal |
{4,8,4} |
12 |
(3,4) |
|
G
|
False
|
|
sqc7813
|
|
Ibca |
73 |
orthorhombic |
{4,8,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc7858
|
|
I41/amd |
141 |
tetragonal |
{4,8,4} |
12 |
(3,4) |
Topological data
| Vertex degrees | {4,8,4,8,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:128:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,3 8 5 7 11 16 13 15 19 24 21 23 27 32 29 31 35 40 37 39 43 48 45 47 51 56 53 55 59 64 61 63 67 72 69 71 75 80 77 79 83 88 85 87 91 96 93 95 99 104 101 103 107 112 109 111 115 120 117 119 123 128 125 127,17 18 35 36 69 70 9 10 91 92 77 78 47 48 51 52 101 102 25 26 123 124 109 110 63 64 49 50 117 118 41 42 107 108 125 126 85 86 57 58 75 76 93 94 97 98 115 116 73 74 127 128 113 114 99 100 89 90 111 112 105 106 121 122:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 8 4 4 4 8 4 4 4 8> {(2, 58): 't3^-1', (2, 59): 't3^-1', (2, 52): 'tau2*t3', (2, 53): 'tau2*t3', (2, 50): 't1', (2, 51): 't1', (2, 42): 't2^-1', (2, 43): 't2^-1', (2, 36): 'tau3^-1*t2', (2, 37): 'tau3^-1*t2', (2, 34): 't1', (2, 35): 't1', (2, 26): 't2', (2, 27): 't2', (2, 20): 'tau3*t2^-1', (2, 21): 'tau3*t2^-1', (2, 10): 't3', (2, 11): 't3', (2, 4): 'tau2^-1*t3^-1', (2, 5): 'tau2^-1*t3^-1', (2, 112): 'tau1', (2, 113): 'tau1', (2, 114): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 115): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 96): 'tau1^-1', (2, 97): 'tau1^-1', (2, 98): 't2*tau3^-1*t1^-1*tau2*t3', (2, 99): 't2*tau3^-1*t1^-1*tau2*t3'}