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Rotating Calculus Functions for Vases by Alexander Berfond and Alexander Shekhtman

This work by Alexander Berfond and Alexander Shekhtman explores the calculus of rotating functions to model the form of vases. It delves into original equations, defining outer and inner functions, and specifies a cutoff at x = 51. The study takes measurements of liquid volume, glass volume, and the mass of the glass to assess the practical applications of calculus in physical objects. This detailed examination offers insights into the intersection of mathematics and design in functional art pieces.

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Rotating Calculus Functions for Vases by Alexander Berfond and Alexander Shekhtman

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Presentation Transcript

  1. Rotating Calculus Functions to Form Vases By Alexander Berfond and Alexander Shekhtman

  2. Original Equations • Outer Function: • Inner Function: • Cutoff: x = 51

  3. Measurements • Volume of Liquid= • Volume of Glass= • Mass of Glass=

  4. 3-DGraph

  5. Pardon the cutoffs.

  6. THE END

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