A file containing discussion of how the Pythagoreans might have stumbled on irrationals while investigating properties of pentagrams and pentagrams. Also some discussion of some properties of the golden ratio. This one is designed mostly for use with a narration to go with it.
Same as previous, but with more of the discussion contained in the presentation itself.
This one has more information on constructions of the golden ratio and some geometric properties.
Same as previous with more discussion contained within the presentation itself.
More discussion of the relation of the Fibonancci sequence and the golden ratio. Aimed at an audience that has had linear algebra, although much is accessible to a less mature audience as well. (This one is still a work in progress.)
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