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(Lab05)_Symmetry_F10

(Lab05)_Symmetry_F10 - • Reflection across a “mirror...

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1 Symmetry Summary GLY 4200 Lab 5 - Fall, 2010
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2 Definitions Motif : the fundamental part of a symmetric design that, when repeated, creates the whole pattern Operation : some act that reproduces the motif to create the pattern Element : an operation located at a particular point in space
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3 2-D Symmetrical Pattern
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4 Symmetrical Pattern A pattern consisting of two motifs
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5 Symmetrical Pattern is the symbol for a two-fold rotation, known as a diad
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6 180 Degree Rotation Rotate in two steps
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7 Three Fold Rotation 360 o /3 = 120 o rotation to reproduce a motif in a symmetrical pattern is the symbol for a three-fold rotation, known as a triad
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8 N-Fold Rotations Respectively, 360 o , 180 o , 120 o , 90 o , and 60 o
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9 Reflection
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Unformatted text preview: • Reflection across a “mirror plane” reproduces a motif • is the symbol for a mirror plane 10 Inversion • Inversion through a center to reproduce a motif in a symmetrical pattern • = symbol for an inversion center 11 Lab Exercise • For lab, examine each object • Report all symmetry For rotation, the fold and number of each type of rotational axis present Example: 1A 4 , 2A 2 For reflection, total number of mirror planes present, if any For inversion, yes or no (does it have a center or doesn’t it?) 12 Results • Keep a copy of your results for next week’s lab – you need to turn in one, and have one copy for lab 6...
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