On the Shapes of Water Fountains and Times Tables

Year: 2002 Authors: Stephen Eberhart

Core claim

Water-fountain geometry and times-table diagrams can be reinterpreted through parabolas, ellipses, star polygons, and Möbius-strip topology.

Topics

parabolic curves, times table diagrams, star polygons, topological surfaces

Domains

geometry, conic sections, modular arithmetic, topology, mathematical visualization, diagram design, educational drawing, pattern form

Methods

geometric construction, physics-based reasoning, visual analogy, modular multiplication

Media

paper drawing, water jet profiles, times table diagrams

Source status

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