Riding on Square Wheels
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|Ivars Peterson (MathTrek)|
|A square wheel may be the ultimate flat tire. There's no way it can roll over a flat, smooth road without a sequence of jarring bumps. However, a square wheel can roll smoothly, keeping the axle moving in a straight line and at a constant velocity, if it travels over a road with the right sort of profile. That corrugated surface must consist of evenly spaced bumps, each one the shape of an inverted catenary...|
|Levels:||Middle School (6-8), High School (9-12), College|
|Math Topics:||Euclidean Plane Geometry|
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