Interactive Demo
Complex Plane Explorer
Complex Plane Explorer is a free, interactive learning demo from the College Algebra course on Lykke. It helps you build intuition for Imaginary unit i, Complex conjugates, Complex arithmetic, Roots of negative numbers. Play with it directly in your browser — it features 2 sliders, 2 buttons, direct drag interaction and a live visual canvas. This demo lives in the “Complex Numbers” section of the course.

How to use this demo
- Drag the sliders to change the inputs and watch the visualization update in real time.
- Click and drag directly on the canvas to manipulate the scene.
- Use the “Rotate by i”, “Conjugate” buttons to trigger actions or reset the demo.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Imaginary unit i
- Complex conjugates
- Complex arithmetic
- Roots of negative numbers
Frequently asked questions
What does the Complex Plane Explorer demo do?
Expanding the number system to include imaginary units and complex arithmetic. Complex Plane Explorer turns that idea into something you can manipulate directly and watch respond.
What College Algebra concept does Complex Plane Explorer teach?
Expanding the number system to include imaginary units and complex arithmetic. It focuses on Imaginary unit i, Complex conjugates, Complex arithmetic, Roots of negative numbers from the “Complex Numbers” section.
What can I control in Complex Plane Explorer?
The sliders change the key inputs; you can drag elements directly on the canvas; the “Rotate by i”, “Conjugate” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does Complex Plane Explorer fit into the College Algebra course?
The Client Challenge course is a comprehensive College Algebra program designed to guide learners through 14 essential units of mathematical mastery. Starting with foundational linear equations and inequalities, the cur… This demo is the interactive piece for the “Complex Numbers” section. Open the full College Algebra course wiki at https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7 for notes, flashcards, quizzes and the other demos.
What will I understand better after using Complex Plane Explorer?
You'll build intuition for Imaginary unit i, Complex conjugates, Complex arithmetic, Roots of negative numbers — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on College Algebra alone.
From the College Algebra course
This interactive demo is part of the Complex Numbers section. Explore the full College Algebra course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the College Algebra course →