All images are generated in Colab. The code link is https://colab.research.google.com/drive/1ZL9MavXxLsOAsBOc-dlZ7uHMj0gA7JCO?usp=sharing

Q1.1

Q1.2

Q2.1

4 vertices and 4 faces

Q2.2

8 verticals, 12 (triangle) faces

Q3

color1 = [0, 0, 1]; color2 = [1, 0, 0]

Q4

Q4.1

R_relative=[[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
T_relative=[0, 0, 0]

Q4.2

R_relative=[[1, 0, 0], [0, 1, 0], [0, 0, 1]]
T_relative=[0, 0, 1]

Q4.3

R_relative=[[1, 0, 0], [0, 1, 0], [0, 0, 1]]
T_relative=[0.5, -0.5, 0]

Q4.4

R_relative=[[0, 0, 1], [0, 1, 0], [-1, 0, 0]]
T_relative=[-3, 0, 3]

Q5.1

Q5.1.1

Q5.1.2

Q5.1.3

Q5.2

Q5.3

Rendering as a mesh is of higher quality. The object surface is smoother, however, its rendering speed is more slower. Rendering as pointcloud gives special texture, which may be useful under specific circumstances.

Q6

I created an Olympic rings to celebrate the Beijing 2022 Winter Olympics