HONORS GEOMETRY PROJECT
Possible Topics
| Fractals - Koch Snowflake | Leonard Euler (Konigsberg Bridge Problem) |
| Fractals - Mandelbrot Set/Julia Set | Hypatia |
| Fractals in Nature | Rene Descartes |
| Ceva's Theorem | Ada Byron Lovelace |
| Nine-Point Circle | Plato (Platonic Solids) |
| Four-Color Map Problem | Maria Agnesi (Witch of Agnesi) |
| Sieve of Eratosthenes | Euclid (Euclidean geometry) |
| Spirolaterals | Sophie Germaine |
| Conic Sections | Carl Friedrich Gauss |
| Tangrams | Sonya Kovalevskaya |
| Spherical Geometry | Ptolemy (Ptolemy's Theorem) |
| Cycloids and Catenaries | Caroline Herschel |
| Sphereland and the 4th dimension | Nikolay Lobachevsky |
| Exponential growth and decay | Mary Fairfax Somerville |
| Kaleidoscopes (dihedral, etc.) | Archimedes (semiregular polyhedra) |
| Topology (Mobius strip, Klein bottle) | Grace Chisolm Yound |
| Pi (history of pi, probability and pi, etc.) | Thales of Miletus |
| Proofs of the Pythagorean Theorem | Emmy Noether |
| Curve Stitching, String Art | Gerard Desargues |
| Paradoxes and fallacies (Russell's, Zeno's) | Emilie de Beteuil (Emilie du Chatelet) |
| Golden Section, Golden Ratio, Golden Spiral | Pierre de Fermat |
| Connections between math and music | Leonardo Fibonacci (Fibonacci numbers) |
| Number bases (binary, hexadecimal, etc.) | Blaise Pascal (Pascal's triangle/binomial thm) |
| Transformations and matrices | Napier (Logarithms/Napier's Rods) |
| ***These topics are merely suggestions. If you find something else that you think might be interesting, by all means, ask me about it! There are differing amounts of information available on each of these topics, so do some investigating before you commit to a topic. Also, some topics may be more suitable for a person working alone, while others may be best for a pair of students. If you plan on working as a pair, don't pick a topic that is too wimpy for two people!*** | |