Building on the Shoulders of Giants: 1998 Putnam Exam A1, 2.0 in GeoGebra 3D

This is a full hands-on tutorial of how I engineered the cone-cube-sphere design on the cover of my book in GeoGebra 3D.
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Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com.
Softcover - https://www.amazon.com/Learning-Isnt-Linear-Essential-Solution/dp/B0CCXLCHDX/ref=sr_1_3?crid=HU1WK4BE5OKE&keywords=learning+isn%27t+linear&qid=1691766110&sprefix=%2Caps%2C69&sr=8-3
Softcover (color ed.) - https://www.amazon.com/Learning-Isnt-Linear-Color-Essential/dp/B0CDNSFLDS/ref=sr_1_1?crid=2VEFJXF7B4NF5&keywords=learning+isn%27t+linear&qid=1691766691&sprefix=%2Caps%2C81&sr=8-1
eBook - https://www.amazon.com/Learning-Isnt-Linear-Essential-Solution-ebook/dp/B0CCXN34TD?ref_=ast_author_mpb
(The book contains the "rolling rectangle" and the "caterpillar" Desmos programs.)
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"Prioritize long-term learning over short-term test-taking."

0:00 Intro
1:37 How-to Cone
3:00 How-to Cube
3:34 Desmos and a Mistake
4:49 Resolution!
5:48 Construct Inscribed Sphere
11:47 Tangent Vector to Path
15:24 Ellipsoid
16:10 Moving Points
16:46 Tangent Plane
18:58 Ending

#education
#mathematics
#calculus
#geogebra
#geometry
#desmos
#books
#teacher