O'Reilly logo

Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics by Robert B. Banks

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

13

Great Turtle Races: Pursuit Curves

We have some small turtles that are very intelligent and well trained; they are what we call smart turtles. They can be ordered to stay put, to walk or trot along a straight line or some curved path, and to follow other specific instructions. They refuse to swim and they cannot fly; hence their movements are restricted to zero, one, or two dimensions, that is, to a point, a straight line, or a plane, respectively.

With that as a prologue, we examine what is termed the curve of pursuit problem. This is quite an ancient problem in mathematics. Evidently it was first studied by Leonardo da Vinci in the early sixteenth century, and it has attracted the attention of mathematicians ever since.

With reference to ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required