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Consortium for Mathematics and its Applications

Product ID: 99502
Supplementary Print
Undergraduate

The Design of Honeycombs (UMAP)

Author: Anthony L. Peressini


A unit that involves calculus to the design of honeycombs. By completion of this module students will be able to understand: 1) the geometric structure of a honeycomb cell; and 2) how minimication techniques from calculus apply to a minimum surface area problem for a bee's cell.

Table of Contents:

1. BACKGROUND INFORMATION

2. THE MATHEMATICAL ANALYSIS OF THE BEE'S CELL CAP

3. SOME ADDITIONAL COMMENTS

4. PROBLEMS

5. SOME REFERENCES FOR FURTHER READING

6. SOLUTIONS TO PROBLEMS

©1980 by COMAP, Inc.
UMAP Module
17 pages

Mathematics Topics:

Calculus , Differential Equations

Application Areas:

Life Sciences & Medicine , Biology

Prerequisites:

Be able to find the minimum value of a trigonometric function by differentiation; plane geometry

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