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Phenakistiscope Demonstration

Phenakistiscope Demonstration
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2014-05-14 23:49
CircleAngleVectorTransformationGeometric Construction
In collections Cool Things from Geogebra
This example demonstrates the construction principle of a phenakistiscope, showing how rotating disks create the illusion of continuous motion through sequential images. It involves core mathematical concepts like geometric transformations, angles, parallelograms, and arithmetic mean. The construction utilizes GeoGebra commands and objects such as Circle, Point, Line, Intersect, and OrthogonalLine. Suitable for high school students and math enthusiasts studying geometric transformations and animation.

GeoGebra Commands & Parameters

  1. Circle(C, D) → c
  2. Point(c) → B
  3. Line(B, C) → a
  4. Intersect(c, a, 2) → A
  5. OrthogonalLine(C, a) → b
  6. Intersect(c, b, 2) → E

AI Drawing Prompt Reference

Draw a circle and create a point on it. Then, draw a line segment from this point to the center of the circle. Find the intersection points of this line segment with the circle and draw a line perpendicular to it. Finally, find the other intersection point of this perpendicular line with the circle to demonstrate how rotating disks and perpendicular lines create the illusion of continuous motion, showcasing geometric transformations and angle concepts.
The prompt above was compiled from the original drawing commands and is for reference only.