Math with Bad DrawingsCartoon Archive

Golden Ratios

March 7, 2019

The golden ratio in a pentagram for geometers, and for parents the 'golden' ratio of siblings' shares is exactly 1.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2019-03-07-golden-ratios/ (CC BY-NC 4.0)
Transcript

[Golden Ratio for Geometers] A pentagram with segments 1, φ, φ², φ³; φ = (1 + √5)/2 ≈ 1.618

[Golden Ratio for Parents] Parent: "Either share equally, or no one gets anything!" φ = Sibling #1's share / Sibling #2's share = 1

Topics
Number & Arithmetic › Golden RatioGeometry › Polygons › PentagonsNumber & Arithmetic › Ratios & ProportionsNumber & Arithmetic › Fractions › Fair Division
Level
Middle SchoolHigh School
Themes
Family & RelationshipsPunsVisual Explanations