Maths EE ideas library
Maths Extended Essay ideas: geometry and topology
Shapes, curves, tilings, non-Euclidean geometry and the topology of surfaces. Diagrams help, but the argument has to be mathematical.
Geometry and topology ideas (9)
- Triangles on a sphereGeometrySolid
- Two models of hyperbolic geometryGeometryAmbitious
- V − E + F = 2, and when it failsGeometryAccessible
- Why are there only five Platonic solids?GeometryAccessible
- Which pentagons tile the plane?GeometrySolid
- The reflection properties of conicsGeometryAccessible
- Pick's theorem and lattice polygonsGeometryAccessible
- The best shape for a fenceGeometrySolid
- Testing golden-ratio claims mathematicallyGeometryAccessible
Frequently asked questions
Is geometry and topology a good area for a maths EE?
It can be, if you narrow it to one question you can answer with mathematics you understand. Draw your own diagrams and label them; then make sure each claim a diagram suggests is proved, not just seen.
Can I use one of these research questions as it is?
Use it as a starting point. Change the case, the comparison or the limit until the question is your own, and agree it with your supervisor.
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