?Pinwheel: The pinwheel in Fig. 5.1.11 is obtained from the r-shape (Fig. 5.1.6) by a
Chapter 5, Problem 63(choose chapter or problem)
Pinwheel: The pinwheel in Fig. 5.1.11 is obtained from the r-shape (Fig. 5.1.6) by a shear transformation of - 1 units in the y-direction followed by a succession of \(30^{\circ}\) rotations. (We are assuming that each successive transformation leaves a "print" so that the end result is the pinwheel shown.)
(a) Determine the matrix for the shear transformation and the number n of successive rotations required to complete the pinwheel.
(b) Is it true that \(\left(R_{30 \text { degrees }}\right)^{n}=I\) for some n? Explain.
Equation Transcription:
°
Text Transcription:
30 degree
(R_30 degree)^n = I
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