Computer Graphics Computer programmers can use complex numbers and the complex plane to implement...

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Computer Graphics Computer programmers can use complex numbers and the complex plane to implement geometric transformations. If a programmer starts with a square with vertices at (2, 2), (-2, 2), (-2, -2), and (2, -2), each of the vertices can be stored as a complex number in polar form. Complex number multiplication can be used to rotate the square 45° counterclockwise and dilate it so that the new vertices lie at the midpoints of the sides of the original square.

a. What complex number should the programmer multiply by to produce this transformation?

b. What happens if the original vertices are multiplied by the square of your answer to part a?

Bhaskar · Accepted Answer

Computer Graphics Computer programmers can use complex numbers and the complex plane to implement geometric transformations. If a programmer starts with a square with vertices at (2, 2), (-2, 2), (-2, -2), and (2, -2), each of the vertices can be stored as a complex number in polar form.

Computer Graphics Computer programmers can use complex numbers and the complex plane to implement geometric transformations. If a programmer starts with a square with vertices at (2, 2), (-2, 2), (-2,...

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