Evaluating all possible combinations

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Michael Jacobson 2023-3-6

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评论： Michael Jacobson 2023-3-19

I am working on designing a composite part. The two main variables are the number of layers i can stack and the orientation of each layer (0,45,90 deg.). In the below image, we can see different layers stacked with different orientations

I am trying to find all possible sequences that can be made, but im not sure how to go about that. For example, if i have 5 layers, how would i determine all the possible sequences?

I've tried perms and nchoosek - don't seem to work, but im not sure why.

Thanks

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Torsten 2023-3-6

So for each layer you have 4 possible orientations. Thus if you have N layers, the number of possible arrangements is 4^N. Is this a correct interpretation of what you try to achieve ?

Michael Jacobson 2023-3-6

Yes, i believe that's the proper understanding.

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Answer 1

Karim 2023-3-6

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https://ww2.mathworks.cn/matlabcentral/answers/1923900-evaluating-all-possible-combinations#answer_1186395

编辑：Karim 2023-3-6

在 MATLAB Online 中打开

See below for one method to obtain all combinations.

In the resulting matrix, each row represents a combination, the first column holds the angle for the first layers, the second for the second etc.

Hope it helps ;)

% define the angle options for a layer
LayerOptions = [0 -45 45 90];
% define number of layers
NumLayer = 5;
% create place holder for the layers
CellCombo = cell(1,NumLayer);
% assign the options for each layer
CellCombo(:) = {LayerOptions};
% extend the data to obtain the combinations
Combinations = CellCombo;
[Combinations{:}] = ndgrid(CellCombo{:});
Combinations = cell2mat(cellfun(@(m)m(:),Combinations,'uni',0));
% print the result
Combinations
Combinations = 1024×5
     0     0     0     0     0
   -45     0     0     0     0
    45     0     0     0     0
    90     0     0     0     0
     0   -45     0     0     0
   -45   -45     0     0     0
    45   -45     0     0     0
    90   -45     0     0     0
     0    45     0     0     0
   -45    45     0     0     0