Search
Google ClassroomGoogle Classroom
GeoGebraGeoGebra Classroom

Outline

  1. Golden Ratio (phi) Collection
    1. Geometry of the Golden Ratio
    2. Math of the Golden Ratio
    3. Golden Ratio Examples?

    Golden Ratio (phi) Collection

    Author:ZHANG JIA MING, Chip Rollinson
    Golden Ratio (phi) Collection

    Table of Contents

    • Geometry of the Golden Ratio

      • Copy of Golden Rectangle/Ratio Defined
      • Golden Rectangle - Iterated
      • Golden Rectangle - Infinite Zoom
      • Copy of Golden Rectangle - Construction
      • Regular Pentagon Ratios
      • Golden Triangle & Spiral
      • Golden Triangles and Infinite Series
    • Math of the Golden Ratio

      • Fibonacci Ratios
      • Interesting Math of Phi (Part I)
      • Interesting Math of Phi (Part 2)
      • Videos - The Math of the Golden Ratio
    • Golden Ratio Examples?

      • Golden Ratio Examples? - Art & Architecture
      • Golden Ratio Examples? - Nature
      • Golden Ratio Examples? - Logos
      • Videos - Golden Ratio in Nature and Art
    Next
    Copy of Golden Rectangle/Ratio Defined

    New Resources

    • 長方體平面投影 (Codex版)
    • 美國國旗 (Codex 版)
    • 兩組對邊相等和有直角的四邊形
    • Claude 解幾何題
    • 拼砌四邊形

    Discover Resources

    • 例子
    • 橢圓拋物面2
    • ghk106a07 圓半徑與外切、外離關係
    • 圓例9
    • 圓和弦圓和弦的副本

    Discover Topics

    • Median Value
    • Correlation
    • Cylinder
    • Square
    • Geometric Transformations
    AboutPartnersHelp Center
    Terms of ServicePrivacyLicense
    Graphing CalculatorCalculator SuiteMath Resources

    Download our apps here:

    Download_on_the_App_Store_Badge_US-UK_RGB_blk_4SVG_092917

    © 2026 GeoGebra®