Area Bisectors via Monte Carlo

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

If random points are scattered over a shape, a line with half the points on each side will be close to the actual dividing line for the area of the figure. For the circle and square, any line through the centroid of the points will divide the figure into halves with equal area. For the triangle, the area bisectors form a deltoid bounded by hyperbolic arcs.

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send