A Sketchbook of Symmetry

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Presentation transcript:

A Sketchbook of Symmetry

SYMMETRY A Definition? Symmetry OPERATIONS Symmetry Elements Reflection Rotation Others Symmetry Elements Mirror (plane) Rotation axis

SYMMETRY ELEMENTS MIRRORS planes (lines in 2d) cuts object in half halves are mirror images Shown as a dotted line

SYMMETRY ELEMENTS MIRRORS planes (lines in 2d) cuts object in half halves are mirror images Shown as a dotted line

Questions to ask: Reflective symmetry? Where? Draw mirror(s). Rotational Symmetry? Where is axis? What fold is axis? Draw axis.

LILY

HIBISCUS

PLUMERIA

Orchid

Tulip

SNOWFLAKES Wilson “Snowflake” Bentley Vermont farmer His work is world-famous. photographing individual snowflakes. First photograph Over 5000 photographs “No two alike” http://snowflakebentley.com/

SNOWFLAKES

2 More Examples of Snowflakes from Bentley’s Photographs

From another source... Another site: http://www.its.caltech.edu/~atomic/snowcrystals/

Growth of a snowflake… (approx. time was 5 minutes)

Some Further Links to Explore: Symmetry of Border Patterns http://www.math.okstate.edu/~wolfe/border/border.html Symmetry of Inorganic Molecules http://neon.chem.ox.ac.uk/vrchemistry/sym/splash.html

Field Patterns http://mathforum.org/geometry/rugs/symmetry/fp.html

END

Symmetry References Symmetry of Inorganic Molecules Snowflake Bentley Great South Catalog Other Snowflakes

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