List

Complex Adventures

This feature includes problems and videos taken from our newly published Adventures with Complex Numbers collection.

The problems follow on from those published in our Imagine This feature earlier this year, so you might like to look at those first if you haven't already seen them.

 

Into the wilderness
problem

Into the wilderness

Age
14 to 18
Challenge level
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Let's go further and see what happens when we multiply two complex numbers together!
Complex Puzzle
problem

Complex Puzzle

Age
14 to 18
Challenge level
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Can you use everything you have learned about complex numbers to crack this puzzle?
Mapping the territory
problem

Mapping the territory

Age
14 to 18
Challenge level
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Can you devise a system for making sense of complex multiplication?
Complex Numbers - Power
page

Complex Numbers - Power

Professor Chris Budd looks at how complex numbers play a crucial role in the electricity networks that power our daily lives.
Complex Numbers - Insight
page

Complex Numbers - Insight

Dr Holly Krieger explains how she uses complex numbers to understand dynamical systems, including beautiful fractals.
Complex squares
problem

Complex squares

Age
16 to 18
Challenge level
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What happens when we square complex numbers? Can the square of a complex number be real?