lect7 - symmetry symmetry transformation (change)...

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symmetry
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symmetry transformation (change) conservation (invariance)
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2D transformations translation rotation reflection glide reflection (scale) 3D transformations translation rotation screw rotation reflection glide reflection rotor reflection (scale)
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translation
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rotation
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reflection
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glide reflection translation reflection
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3D transformations translation rotation screw rotation reflection glide reflection rotor reflection (scale)
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2D symmetry type transformations point rotations frieze translations (one direction) wallpaper translations (two directions) 3D symmetry type transformations point rotations rod translations (one direction) layer translations (two directions) space translations (three directions)
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2D (finite) point symmetry rotations about a point optional: reflections across an axis through the rotation point
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2D (infinite) frieze symmetry translations along a line optional: rotations, reflections, glide reflections
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2D (infinite) wallpaper symmetry translations along two lines (two directions) optional: rotations, reflections, glide reflections
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This note was uploaded on 11/10/2011 for the course ARCH 4.500 taught by Professor Lawrencesass during the Fall '08 term at MIT.

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lect7 - symmetry symmetry transformation (change)...

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