Visibly accurate scales/axes in plot3...

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Chris E.
Chris E. on 19 Oct 2015
Edited: Chris E. on 19 Oct 2015
Hello Everyone,
The code below represents "stored boxes" in a closet (or its one way to think about it). The scales in the plotted function are accurate, but visually it is very inaccurate. I was looking for a way to change the axes to make the box appear like a box and less like a very long rectangle. Any help is welcome!!!
Accurate in terms of actual scale, but visually NOT accurate (long retangle):
Accurate in terms of visually, but NOT in terms of actual scale (looks like an actual box):
Thank you...
function BoxesInStorage()
height = 400;
width = 48+8+8;%48 box width + beam and space on each side
depth = 40*20; %20 box deep
X = [0;width;width;0;0];
Y = [0;0;depth;depth;0];
Z = [0;0;0;0;0];
hold on;
plot3(X,Y,Z); % draw a square in the xy plane with z = 0
plot3(X,Y,Z+height); % draw a square in the xy plane with z = 1
set(gca,'View',[-28,35]); % set the azimuth and elevation of the plot
for k=1:length(X)-1
plot3([X(k);X(k)],[Y(k);Y(k)],[0;1]);
end
plotcube([48 40 65],[0 0 5],.8,[1 0 0]);
plotcube([48 40 5],[0 0 0],.8,[0 1 0]);
function plotcube(varargin)
inArgs = { ...
[10 56 100] , ... % Default edge sizes (x,y and z)
[10 10 10] , ... % Default coordinates of the origin point of the cube
.7 , ... % Default alpha value for the cube's faces
[1 0 0] ... % Default Color for the cube
};
% Replace default input arguments by input values
inArgs(1:nargin) = varargin;
% Create all variables
[edges,origin,alpha,clr] = deal(inArgs{:});
XYZ = { ...
[0 0 0 0] [0 0 1 1] [0 1 1 0] ; ...
[1 1 1 1] [0 0 1 1] [0 1 1 0] ; ...
[0 1 1 0] [0 0 0 0] [0 0 1 1] ; ...
[0 1 1 0] [1 1 1 1] [0 0 1 1] ; ...
[0 1 1 0] [0 0 1 1] [0 0 0 0] ; ...
[0 1 1 0] [0 0 1 1] [1 1 1 1] ...
};
XYZ = mat2cell(...
cellfun( @(x,y,z) x*y+z , ...
XYZ , ...
repmat(mat2cell(edges,1,[1 1 1]),6,1) , ...
repmat(mat2cell(origin,1,[1 1 1]),6,1) , ...
'UniformOutput',false), ...
6,[1 1 1]);
cellfun(@patch,XYZ{1},XYZ{2},XYZ{3},...
repmat({clr},6,1),...
repmat({'FaceAlpha'},6,1),...
repmat({alpha},6,1)...
);
view(3);

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