Convex Hull of Points in a Circle

Convex Hull of Points in a Circle
Loading the math board and drawing, please wait…
2013-05-23 04:46
This example demonstrates the convex hull of grid points inside a circle. By observing the distribution of points within different circles, one can explore the patterns of point arrangement and the properties of the convex hull. Key mathematical concepts include circle, convex hull, and grid points. The construction uses GeoGebra commands such as Sequence, Flatten, and ConvexHull. Suitable for middle school and above students or teachers for teaching purposes.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(i, j), i, ceil(-r), floor(r)], j, ceil(-r), floor(r)) → list1
  2. Flatten(list1) → list2
  3. Sequence(Sequence[If[i^(2) + j^(2) ≤ r^(2), (i, j)], i, ceil(-r), floor(r)], j, ceil(-r), floor(r)) → list3
  4. Flatten(list3) → list4
  5. ConvexHull(list4) → graph1