What shapes do you get when you spin a cube on one of its vertices? This article explores the algebraic aspects of a spinning cube and establishes equations for the two cones and the hyperboloid using secondary school mathematics. Both the analysis and the verification take advantage of dynamic mathematics learning technologies.
"The Spinning Cube: An Algebraic Excursion,"
The Mathematics Enthusiast: Vol. 18
, Article 5.
Available at: https://scholarworks.umt.edu/tme/vol18/iss1/5