MathPlotAI Logo MathPlotAI

Adding Integers with Bouncing Bunny

Adding Integers with Bouncing Bunny
Loading the math board and drawing, please wait…
2013-07-02 07:16
VectorFunctionTrigonometryCoordinate GeometrySolid Geometry
This example demonstrates integer addition through a dynamic bunny hopping animation, visually representing vector operations, 3D space, complex numbers, intersections, cosine, and exponential functions. Key GeoGebra commands like Max, Vector, Segment, and If are used to construct objects such as f, b, hopb, hopbb, a, hopa, hopaa, and more, creating a parametric representation of motion. Ideal for high school and advanced learners exploring vector calculus and 3D geometry in an engaging way.

GeoGebra Commands & Parameters

  1. Max(hopb, -hopb) → hopbb
  2. Max(hopa, -hopa) → hopaa
  3. Vector((0, -2), (a, -2)) → u
  4. Vector((a, -4.000000000000001), (a + b, -4.000000000000001)) → v
  5. Segment(A, (a + b, -4.000000000000001)) → c
  6. Segment((a, -2), (a, -4.000000000000001)) → d
  7. If(f < 1, (f * a, hopaa), If[f < 1.4, (a, 0), (a, hopbb) + (f - 1.4) * (b, 0)]) → D
  8. Segment((0, 0), (0, -2)) → e

AI Drawing Prompt Reference

Create a dynamic bunny hopping animation to demonstrate integer addition, involving vectors and 3D space, with cosine and exponential functions. The bunny hops in a 3D environment, showing parametric motion through vector operations and function transformations. Connect multiple segments to form the bunny's path, with the animation depicting complex trajectories in space, illustrating principles of vector calculus and 3D geometry.
The prompt above was compiled from the original drawing commands and is for reference only.