quiz #9adamsmi.faculty.mjc.edu/math101spring/8.9.pdf · 8.9.notebook 1 march 15, 2017 quiz #9 if a...

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8.9.notebook 1 March 15, 2017 Quiz #9 If a large triangle is constructed in space using lasers to delineate the sides, and the angles are measured to be 53°, 62°, and 59°, what would be the new version of the Parallels Axiom?

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Page 1: Quiz #9adamsmi.faculty.mjc.edu/math101spring/8.9.pdf · 8.9.notebook 1 March 15, 2017 Quiz #9 If a large triangle is constructed in space using lasers to delineate the sides, and

8.9.notebook

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March 15, 2017

Quiz #9If a large triangle is constructed in space using lasers to delineate the sides, and the angles are measured to be 53°, 62°, and 59°, what would be the new version of the Parallels Axiom?

Page 2: Quiz #9adamsmi.faculty.mjc.edu/math101spring/8.9.pdf · 8.9.notebook 1 March 15, 2017 Quiz #9 If a large triangle is constructed in space using lasers to delineate the sides, and

8.9.notebook

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March 15, 2017

1) Self-Similarity

Professor Heidi Meyer

Page 3: Quiz #9adamsmi.faculty.mjc.edu/math101spring/8.9.pdf · 8.9.notebook 1 March 15, 2017 Quiz #9 If a large triangle is constructed in space using lasers to delineate the sides, and

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March 15, 2017

2) Recursion

"Initiator" and "Generator" and "Depth"

Initiator:

Generator:

Level 0

Level 1

Level 2

etc...

Page 4: Quiz #9adamsmi.faculty.mjc.edu/math101spring/8.9.pdf · 8.9.notebook 1 March 15, 2017 Quiz #9 If a large triangle is constructed in space using lasers to delineate the sides, and

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March 15, 2017

So, why are they called "Fractals"?

It's based on what "Dimension" actually means

Dimension: Requires self­similarity. 

Scale Factor:1 2 3

Square:

Line:

Cube:

KochCurve: