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1. Tumbling Cube
120418H

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!!!