Complex Number Multiplication Demo by John Golden
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This example demonstrates the geometric meaning of complex number multiplication (a+bi), visually showing how multiplication affects the position of a complex number through shapes. Core math concepts include complex numbers, vectors, rotation, modulus scaling, and analytical geometry. Construction highlights involve using commands like Point, Polygon, Vertex, Textfield to create points, polygons, vertices, and text fields, defining complex numbers a, b, z_A, z_B, and related geometric objects. Suitable for high school mathematics teaching to understand the geometric representation of complex operations and elliptical trajectories.
GeoGebra Commands & Parameters
Point(Circle[A, 4]) → BPolygon(A, B, C, D, E) → poly1, a, b, c, d, eVertex(poly1) → F, G, H, I, JPolygon((z_m * F), (z_m * G), (z_m * H), (z_m * I), (z_m * J)) → poly3, f, g, h, i, jTextfield(z_m) → InputBox1