Math Fun Facts!
hosted by the Harvey Mudd College Math Department created, authored and ©1999-2010 by Francis Su
Subscribe to our RSS feed   or follow us on Twitter.
Get a random Fun Fact!
or
No subject limitations
Search only in selected subjects
    Algebra
    Calculus or Analysis
    Combinatorics
    Geometry
    Number Theory
    Probability
    Topology
    Other subjects
  Select Difficulty  
Enter keywords 

  The Math Fun Facts App!
 
  List All : List Recent : List Popular
  About Math Fun Facts / How to Use
  Contributors / Fun Facts Home
© 1999-2010 by Francis Edward Su
All rights reserved.

From the Fun Fact files, here is a Random Fun Fact, at the Easy level:

Spherical Bands

Figure 1
Figure 1

Take any sphere and slice it up by parallel knives 1 inch apart. The areas of the spherical bands between the cuts (on the surface of the sphere) are exactly the same area!

Presentation Suggestions:
Draw a suggestive picture!

The Math Behind the Fact:
This begins to make sense when you reflect on it. The bands are wider near the top of the sphere because it is more curved there, but the diameter is smaller there. These effects cancel exactly! It is makes a nice homework exercise in multivariable calculus.

How to Cite this Page:
Su, Francis E., et al. "Spherical Bands." Math Fun Facts. <http://www.math.hmc.edu/funfacts>.

The Link for this Fun Fact: is directly accessible here.

Keywords:    multivariable calculus
Subjects:    calculus, analysis
Level:    Easy
Fun Fact suggested by:   Michael Moody
Suggestions? Use this form.
4.09
 
current
rating
Click to rate this Fun Fact...
    *   Awesome! I totally dig it!
    *   Fun enough to tell a friend!
    *   Mildly interesting
    *   Not really noteworthy
and see the most popular Facts!
Get the Math Fun Facts
iPhone App!

Want another Math Fun Fact?

For more fun, tour the Mathematics Department at Harvey Mudd College!