Real Tornado

Year: 2009 Authors: Akio Hizume; Yoshikazu Yamagishi

Core claim

Every suitable real number R yields a unique tornado pattern determined by consecutive convergents of its continued fraction expansion, and conversely tornadoes characterize such convergents.

Topics

continued fractions, spiral triangular patterns, convergents, similar triangles

Domains

number theory, geometry, continued fractions, approximation theory, mathematical visualization, pattern design, generative art

Methods

continued fraction expansion, geometric construction, law of sines, theorem proof

Media

plane coordinates, line segments, triangle sequences, figures

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.