# Math Museum

### From TheTangentSpace

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A few possible ideas: | A few possible ideas: | ||

- | + | == Interactive fractal tour and exploration == | |

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+ | Fractals are an obvious visually stunning part of math. It may be interesting to allow people to explore various fractals, witness their complexity and self-similarity, understand their history, some of the ideas for applications, and perhaps even some "folk math" regarding fractal dimensions. | ||

== Geometric constructions == | == Geometric constructions == | ||

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See firsthand how to build compass and straight-edge constructions. Perhaps some puzzles to go along with it, and some explanation of the limitations of the process - hints about why we can't work with transcendental numbers this way, but ways to cheat if we can use more than just a straight-edge. | See firsthand how to build compass and straight-edge constructions. Perhaps some puzzles to go along with it, and some explanation of the limitations of the process - hints about why we can't work with transcendental numbers this way, but ways to cheat if we can use more than just a straight-edge. | ||

- | + | == Complex functions == | |

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+ | Visualizations and interactive graphing of certain functions in the complex plane, along with how they relate to regular functions in the reals. In particular, it would be cool to try to demonstrate Euler's formula <math>e^{ix}=\cos(x) + i\sin(x)</math> and possibly even relate this to Fourier series. For example, we could project the shadow of a slinky and explain that each orthogonal projection can be thought of as the real/imaginary part of <math>e^{ix}</math>. And something on Riemann's zeta function and Hypothesis,and Conformal mapping (air flow simulations). | ||

== Games from number theory == | == Games from number theory == | ||

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* History of "Circle Squarers" | * History of "Circle Squarers" | ||

* Special numbers: pi, e, phi, etc | * Special numbers: pi, e, phi, etc | ||

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+ | [[Category: Math]] |