My Heart Will Go On
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This example demonstrates a heart curve using trigonometric functions and rotation transformations. It involves the properties and graph transformations of trigonometric functions. By using the Surface and Rotate commands, users can dynamically adjust the parameters of the heart curve. Suitable for high school mathematics education, particularly in coordinate geometry and trigonometry.
GeoGebra Commands & Parameters
Surface((b * v), ((((b * sin(u)) * 4) * sqrt(1 - v^(2))) * sin(abs(u))^(abs(u))), (((((-b) * cos(u)) * 4) * sqrt(1 - v^(2))) * sin(abs(u))^(abs(u))), v, (-π), π, u, -5, 5) → aRotateRotate
AI Drawing Prompt Reference
Draw a heart curve using sine and cosine functions with rotation transformations. First, create a heart-shaped surface where parameter b controls the size of the heart, and the ranges of v and u define the boundaries of the surface. Then, apply two rotations to adjust the angle and position of the heart.
The prompt above was compiled from the original drawing commands and is for reference only.