Sliced Sphere by Steve Phelps

Sliced Sphere by Steve Phelps
Loading the math board and drawing, please wait…
2019-03-30 02:34
This example demonstrates the cross-sectional shapes of a sphere when sliced by a plane, showing how the shape changes. Key math concepts include solid geometry (sphere), plane geometry (circle), trigonometry, vectors, and sequences. It is constructed using GeoGebra commands Sequence and objects l2, l1. Suitable for high school students learning solid geometry and analytical geometry, as well as for mathematical demonstrations and explorations.

GeoGebra Commands & Parameters

  1. Sequence(Circle[(w, 0, 0), sqrt(100 - w^(2)), xAxis], w, -10, 10) → l2
  2. Sequence(Polygon[(w, -11, -11), (w, 11, -11), (w, 11, 11), (w, -11, 11)], w, -11, 11) → l1