how to rotate cube not parallel to axis

Question

imola 2014-10-22

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/159726-how-to-rotate-cube-not-parallel-to-axis

编辑： imola 2014-10-24

Dear,

I used from file exchange-MATLAB central a program to generate a cube then I tried to rotate but the new cube is parallel to axis so how I get cube not parallel like that

function drawBox3d(box, varargin)
%DRAWBOX3D Draw a 3D box defined by coordinate extents
%   
%   drawBox3d(BOX);
%   Draw a box defined by its coordinate extents: 
%   BOX = [XMIN XMAX YMIN YMAX ZMIN ZMAX].
%   The function draws only the outline edges of the box.
%
%   Example
%     % Draw bounding box of a cubeoctehedron
%     [v e f] = createCubeOctahedron;
%     box3d = boundingBox3d(v);
%     figure; hold on;
%     drawMesh(v, f);
%     drawBox3d(box3d);
%     set(gcf, 'renderer', 'opengl')
%     axis([-2 2 -2 2 -2 2]);
%     view(3)
%
%   See Also:
%   boxes3d, boundingBox3d
%
%   ---------
%   author : David Legland 
%   INRA - TPV URPOI - BIA IMASTE
%   created the 10/12/2003.
%
% HISTORY
% 2010-02-22 creation
% default values
xmin = box(:,1);
xmax = box(:,2);
ymin = box(:,3);
ymax = box(:,4);
zmin = box(:,5);
zmax = box(:,6);
nBoxes = size(box, 1);
for i=1:length(nBoxes)
    % lower face (z=zmin)
    drawEdge3d([xmin(i) ymin(i) zmin(i)     xmax(i) ymin(i) zmin(i)], varargin{:});
    drawEdge3d([xmin(i) ymin(i) zmin(i)     xmin(i) ymax(i) zmin(i)], varargin{:});
    drawEdge3d([xmax(i) ymin(i) zmin(i)     xmax(i) ymax(i) zmin(i)], varargin{:});
    drawEdge3d([xmin(i) ymax(i) zmin(i)     xmax(i) ymax(i) zmin(i)], varargin{:});
      % front face (y=ymin)
      drawEdge3d([xmin(i) ymin(i) zmin(i)     xmin(i) ymin(i) zmax(i)], varargin{:});
      drawEdge3d([xmax(i) ymin(i) zmin(i)     xmax(i) ymin(i) zmax(i)], varargin{:});
      drawEdge3d([xmin(i) ymin(i) zmax(i)     xmax(i) ymin(i) zmax(i)], varargin{:});
      % left face (x=xmin)
      drawEdge3d([xmin(i) ymax(i) zmin(i)     xmin(i) ymax(i) zmax(i)], varargin{:});
      drawEdge3d([xmin(i) ymin(i) zmax(i)     xmin(i) ymax(i) zmax(i)], varargin{:});
      % the last 3 remaining edges
      drawEdge3d([xmin(i) ymax(i) zmax(i)     xmax(i) ymax(i) zmax(i)], varargin{:});
      drawEdge3d([xmax(i) ymax(i) zmin(i)     xmax(i) ymax(i) zmax(i)], varargin{:});
      drawEdge3d([xmax(i) ymin(i) zmax(i)     xmax(i) ymax(i) zmax(i)], varargin{:});
end

I tried to use

t1=45;
t2=30;
Rxy = [cos(t1) -sin(t1), 0; sin(t1), cos(t1), 0; 0, 0, 1];
Rxz = [cos(t2) -sin(t2), 0; 0, 0, 1; sin(t2), cos(t2), 0];
min=[xmin; ymin; zmin];
max=[xmax; ymax; zmax];
min = Rxy*Rxz*min
max = Rxy*Rxz*max

can I transfer it using a corner point that we use it in 2dim.

could anyone help me.

regards