![Plotting the cube
x = [0 1 1 0];
y = [0 0 1 1];
patch(x,y,'red')
Square
Triangle
v2 = [2 4; 2 8; 8 4; 5 0; 5 2; 8 0];
f2 = [1 2 3;
4 5 6];
patch('Faces',f2,'Vertices',v2,'FaceColor','green')](https://image.slidesharecdn.com/tumblingcube-171223170131/85/Tumbling-cube-3-320.jpg)
![References
1. Area, "Patch," 1994. [Online]. Available: https://in.mathworks.com/help/matlab/ref/patch.html.
Accessed: Nov. 28, 2016.
2. "Homogeneous transformation matrix - how to use it?," 2016. [Online]. Available:
http://math.stackexchange.com/questions/1433314/homogeneous-transformation-matrix-how-to-use-
it. Accessed: Nov. 28, 2016.
3. T. MathWorks, "Robotics system Toolbox," 1994. [Online]. Available:
https://in.mathworks.com/help/robotics/index.html. Accessed: Nov. 28, 2016.
4. Uicontrol, "Build GUI with interactive response-plot updates," 1994. [Online]. Available:
https://in.mathworks.com/help/control/ug/build-app-with-interactive-plot-updates.html. Accessed:
Nov. 28, 2016.](https://image.slidesharecdn.com/tumblingcube-171223170131/85/Tumbling-cube-6-320.jpg)
Tumbling cube
- 2. How I modeled the problem mathematically? ● Considered the centre of the cube as the (0,0,0).
- 3. Plotting the cube x = [0 1 1 0]; y = [0 0 1 1]; patch(x,y,'red') Square Triangle v2 = [2 4; 2 8; 8 4; 5 0; 5 2; 8 0]; f2 = [1 2 3; 4 5 6]; patch('Faces',f2,'Vertices',v2,'FaceColor','green')
- 4. Rotation of the matrix
- 5. Key mathematical concepts ● Coordinate vectors in 3D space. ● Rotation Matrix. ● Homogeneous Transformation.
- 6. References 1. Area, "Patch," 1994. [Online]. Available: https://in.mathworks.com/help/matlab/ref/patch.html. Accessed: Nov. 28, 2016. 2. "Homogeneous transformation matrix - how to use it?," 2016. [Online]. Available: http://math.stackexchange.com/questions/1433314/homogeneous-transformation-matrix-how-to-use- it. Accessed: Nov. 28, 2016. 3. T. MathWorks, "Robotics system Toolbox," 1994. [Online]. Available: https://in.mathworks.com/help/robotics/index.html. Accessed: Nov. 28, 2016. 4. Uicontrol, "Build GUI with interactive response-plot updates," 1994. [Online]. Available: https://in.mathworks.com/help/control/ug/build-app-with-interactive-plot-updates.html. Accessed: Nov. 28, 2016.
- 7. Grading criteria ● Interactiveness of the gui 20% ● Understandingness of the problem ○ Mathematical concepts used 40% ○ Model 20% ● Presentation 20% TOTAL 100%
- 8. Thank You!!!