Wednesday, November 22, 2006

Fun With Math

All of these animations were taken from the Wolfram Research site. If you would like to learn more, go there for the details. Consider it a miny art gallery and be exposed to some math along the way :)

Circle negative pedal curve:
Concoid of Nicomedes:
Deltoid Catacaustic:
Dragon Curve: Related to fractal self similar curves
Ellipse Negative Pedal Curve:
Elliptical Gears: Animation doesn't seem to be showing, so click on picture to see
Fontene Theorems:
Involute:
Logarithmic Spiral Evolute:
McCay Circles:
Mice Problem: Mice chasing each other to thier closest right

Mobius Gears: Mobius strip (infinite one sided surface) built with gears!

Moire: Easy way to create interesting patterns by overlaying two patterns
Osculating Circle:
Parabola Negative Pedal Curve:
Pattern of Two Loci:
Poincare Hyberbolic Disk: The artist Escher's work was very much influenced by this kind of complex projection.
Reuleaux Triangle: Stupid French people keep thinking of the cool stuff

Rotating Square Illusion: More of an optical illusion than math
Roulette 4 Gon: Square wheels, Yay!


Tautochrone Problem: Wonder what keeps those old grandfather clocks ticking?

Torus Cannibal: Some topology, one torus eats the other "topologically speaking"
Tower of Hanoi: Ever play this as a kid? If not you were probably born in the South. Regardless, there is a mathematical field for this too.

Trefoil Knot: Mobius strip extended to next level of "knot theory"
Tusi Couple:
Web Diagram: Logistic map that displays simple chaos theory

Whirl: Just having fun, whee!
Witch of Agnesi: Don't ask, I don't get it either

1 Comments:

Anonymous Anonymous said...

have you considered engineering as a livelihood?

10:29 AM  

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