10.10.1 Top new questions this week

10.10.1.1 Isomorphic lists
10.10.1.2 Reproducing Ruth Asawa's Wire Sculptures
10.10.1.3 Reconstruct list from its PositionIndex
10.10.1.4 Element-wise vector-matrix exponentiation
10.10.1.5 How to create sublists of a list based on the relation between their elements?
10.10.1.6 How to remove extra brackets from a list?
10.10.1.7 Visualizing diagrams needed to compute $\operatorname Tr (A^3 (A^T)^3)$
10.10.1.1 Isomorphic lists

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=300885

Is there a function that outputs  True  if lists are isomorphic (there exists a rule that changes the first list into the second one and inverse of the rule changes ... 
[list-manipulation] [replacement] [rule]
 
asked by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 11
answered by lericr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84894 Score of 6
10.10.1.2 Reproducing Ruth Asawa's Wire Sculptures

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=300958

Ruth Asawa 
Ruth Aiko Asawa (1926 - 2013) was an American artist known primarily for her looped-wire sculptures. Born in Norwalk, California Asawa was the daughter of Japanese immigrants. She grew up ... 
[plotting] [graphics] [computational-geometry] [visualization] [generative-art]
 
asked by eldo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=14254 Score of 10
answered by vindobona https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58868 Score of 6
10.10.1.3 Reconstruct list from its PositionIndex

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301055

Is there a more elegant or shorter way of reconstructing a list from its  PositionIndex ? 
The following I regard quite cumbersome: 
... 
[list-manipulation] [replacement] [associations]
 
asked by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 9
answered by Sjoerd Smit https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=43522 Score of 10
10.10.1.4 Element-wise vector-matrix exponentiation

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=300921

I would like to exponentiate the vector  x = {x1,x2}  element-wise with the non-square matrix  A = {{1,0},{1,1},{0,1}}  so that the ... 
[list-manipulation] [matrix] [vector] [exponent]
 
asked by hroetsc https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=98168 Score of 7
answered by eldo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=14254 Score of 7
10.10.1.5 How to create sublists of a list based on the relation between their elements?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301114

I have a large data set looking like this: 
... 
[list-manipulation]
 
asked by Delaram Nematollahi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75560 Score of 6
answered by E. Chan-López https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53427 Score of 6
10.10.1.6 How to remove extra brackets from a list?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301110

I have a list which looks like the following: 
    list1={{{a,b,c},{a1,b1,c1},{an, bn,cn}},{{f,j,k},{f1,j1,k1},{fn, jn,kn}}} 
 
And I need it to be as follows: 
... 
[list-manipulation] [array]
 
asked by Delaram Nematollahi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75560 Score of 6
answered by eldo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=14254 Score of 8
10.10.1.7 Visualizing diagrams needed to compute $\operatorname Tr (A^3 (A^T)^3)$

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301016

I'm looking for help getting Mathematica code to construct diagrammatic expressions like the following, obtained by River Li as a way to compute $\operatorname{Tr}(A^2 (A^T)^2)$ for $d\times d$ matrix ... 
[matrix] [visualization] [combinatorics]
 
asked by Yaroslav Bulatov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=217 Score of 6
answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 Score of 4