3D Sinusoidal Waves Demo
Loading the math board and drawing, please wait…
This example demonstrates the generation and variation of sinusoidal waves in 3D space. It involves core mathematical concepts such as trigonometry, coordinate geometry, and transformations. Construction highlights include using commands like Segment and CurveCartesian, along with Slider animations to manipulate parameters. Suitable for high school students and math enthusiasts exploring spatial function graphs and parameter effects.
GeoGebra Commands & Parameters
Segment(C, A) → s_1Segment(C, B) → s_2CurveCartesian(t, f_2(t) + off_2, f_1(t) + off_1, t, 0, end) → c3dCurveCartesian(t, off_0, f_1(t) + off_1, t, 0, end) → c_1CurveCartesian(t, f_2(t) + off_2, 0, t, 0, end) → c_2
AI Drawing Prompt Reference
Draw 3D sinusoidal waves. First, draw two line segments connecting point C to point A, and point C to point B. Then, use parameter t from 0 to end to draw curve c3d with x-coordinate as f2(t) plus offset off2, and y-coordinate as f1(t) plus offset off1. Next, draw two curves c1 and c2, where c1 has y-coordinate as f1(t) plus offset off1 and x-coordinate as 0; c2 has x-coordinate as f2(t) plus offset off2 and y-coordinate as 0.
The prompt above was compiled from the original drawing commands and is for reference only.