U-tiling: UQC4248
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
|
|
sqc8099
|
|
P4/nmm |
129 |
tetragonal |
{4,4,4,4} |
16 |
(4,3) |
|
G
|
False
|
|
sqc8101
|
|
I41/a |
88 |
tetragonal |
{4,4,4,4} |
16 |
(4,4) |
|
D
|
False
|
|
sqc8119
|
|
I41/amd |
141 |
tetragonal |
{4,4,4,4} |
16 |
(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 14 56 57 11 60 15 64 65 19 68 23 38 72 81 27 84 31 46 88 89 35 92 39 96 73 43 76 47 80 51 55 62 59 63 67 71 94 75 79 86 83 87 91 95 121 99 124 103 118 128 113 107 116 111 126 120 115 119 123 127,17 18 5 6 23 24 25 26 13 14 31 32 21 22 29 30 105 106 37 38 111 112 121 122 45 46 127 128 73 74 53 54 79 80 89 90 61 62 95 96 97 98 69 70 103 104 77 78 113 114 85 86 119 120 93 94 101 102 109 110 117 118 125 126:4 8 4 4 8 4 8 4 4 4 8 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 125): 'tau1', (1, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 95): 'tau2*t3', (1, 85): 't2', (1, 117): 'tau1^-1', (1, 55): 't1', (1, 119): 't2*tau3^-1*t1^-1*tau2*t3', (1, 37): 't3^-1', (1, 45): 't2^-1', (1, 87): 't2*tau3^-1', (1, 79): 'tau3^-1*t2', (1, 93): 't3^-1', (1, 63): 't1', (1, 71): 't3*tau2'}