Matrices Fractals.pdf - ncssm

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Create your very own fractal using Multiple ReductionsCopy Machines. Explain how you use matrices – rotation, translation anddilations to create step 1 of your fractal image. For each line of code, a,b,c,d,e,f, give R, S and T,R S x0 +Ty0Include a screen shot of step 1, 2 and nExplain why you think this fractal image is particularlyinteresting to you – beyond “It’s really pretty.”
Quiz or test question. Given steps 1, and 2,write the codes to produce the fractal image. Given the matrices, draw steps 1 and 2. Others?Extend to Iterated Function Systems
Page 3: “A fractal is an object or quanti
Page 11: ( x , y ) Consider the point 0 0 re
Page 14 and 15: Consider a rotation through an angl
Page 17 and 18: x r cos( A B)y r sin( A B)Using the
Page 19: cos( B) sin( B)sin( ) cos( ) B B So
Page 22 and 23: One line of code for each “new”
Page 32 and 33: “ I was highly interested in this
Page 34 and 35: Astronomy:GalaxiesRings of SaturnBi
Page 36 and 37: NCSSM Post-AP Calculus Project:Newt
Page 38: Complex Systems Project Intro to IF

Matrices Fractals.pdf - ncssm

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