Constant width shapes

The construction of a constant width shape is shown. Constant width shapes can, like the wheel and the Reulaux triangle, rotate between parallel lines, and it will not fall through a hole of the same shape however you rotate it. Another property is the Barbier's theorem, which asserts that the perimeter of any curve of constant width is equal to the width multiplied by π

 

Jan R Sandbakken

 
Resource Type
Activity
Tags
construction  geometry 
Target Group (Age)
19+
Language
English (United Kingdom)
 
 
GeoGebra version
4.4
Views
985
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