On the Shapes of Water Fountains and Times Tables

Year: 2003 Authors: Stephen Eberhart

Core claim

A fountain of equal-pressure jets and certain multiplication tables share a surprising geometric structure, with special cases represented on Möbius strips.

Topics

projectile motion, modular multiplication, Möbius strip, geometry

Domains

classical mechanics, modular arithmetic, projective geometry, mathematical visualization, educational design, diagrammatic layout

Methods

physical derivation, geometric analogy, table construction, historical comparison

Media

water fountain diagrams, multiplication tables, grid paper, printed figures

Source status

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