lect2 - basic elements points lines planes volumes 0D √...

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basic elements points lines planes volumes 0D 1D √√ 2D √√√ 3D √√√√ space
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shape arrangement of basic elements in space
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shapes
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shapes made up of straight lines in 2D space (plane) lines can be arranged in any way to make a shape any number of lines can be arranged to make a shape
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empty shape 0
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(0,0) shapes have a position, orientation, size in a coordinate system
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arithmetic of shapes relations operations part of ( ) addition (+) equality (=) subtraction (-) transformations (t)
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2D transformations translation rotation reflection glide reflection scale
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translation s t (s) t
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rotation
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reflection
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glide reflection translation reflection
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scale
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3D transformations translation rotation screw rotation reflection glide reflection rotor reflection scale
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Question Given a vocabulary of shapes and operations of +, -, t, what designs can be created?
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Recursion A repetitive (seemingly circular) process with the results of each repetition depending on the results of the previous repetition.
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lect2 - basic elements points lines planes volumes 0D √...

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