Symmetry Summary GLY 4200 Lab 5 - Fall, 2012.

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Presentation transcript:

Symmetry Summary GLY 4200 Lab 5 - Fall, 2012

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

2-D Symmetrical Pattern

Symmetrical Pattern A pattern consisting of two motifs

Symmetrical Pattern is the symbol for a two-fold rotation, known as a diad

180 Degree Rotation Rotate in two steps

Three Fold Rotation 360o/3 = 120o rotation to reproduce a motif in a symmetrical pattern is the symbol for a three-fold rotation, known as a triad

N-Fold Rotations Respectively, 360o, 180o, 120o, 90o, and 60o

Reflection Reflection across a “mirror plane” reproduces a motif is the symbol for a mirror plane

Inversion Inversion through a center to reproduce a motif in a symmetrical pattern = symbol for an inversion center

Lab Exercise For lab, examine each object Report all symmetry For rotation, the fold and number of each type of rotational axis present Example: 1A4, 2A2 For reflection, total number of mirror planes present, if any For inversion, yes or no (does it have a center or doesn’t it?)

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