Complex Numbers & the Complex Plane
by Anonymous
Plot points on the complex plane and discover how multiplication rotates by adding angles and multiplying magnitudes, then draw regular polygons with powers.
#math#complexnumbers#complexplane#highschool#polarform#argand#mathpractice#highschool_math#education
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About this app
An interactive complex-number learning app that visualizes numbers as points and arrows on the complex plane. Adjust the real and imaginary parts to explore conjugates, then multiply complex numbers to see angles add and magnitudes multiply. A powers section uses polar form to show how zⁿ traces rotations, regular patterns, and inward or outward spirals.
Use cases
- High school students studying complex numbers
- Teachers demonstrating the complex plane in class
- Learners exploring conjugates and modulus visually
- Practice with complex multiplication and polar form
Features
- Interactive complex-plane point with adjustable real and imaginary parts
- Displays the conjugate as a reflection across the real axis
- Visualizes complex multiplication using angle and magnitude controls
- Shows zⁿ trails and spiral behavior as the exponent changes
- Guided missions covering axes, modulus, i² = −1, and roots of unity