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The absolute value of a number is the same as the distance to zero (or origo) no matter the direction. Here in two dimensions.

Image: User:Solkoll.
Graphical illustrations made from mathematical algorithms, (well, some of them are "handcrafted" =)

This work has been released into the public domain by its author, Solkoll. This applies worldwide.

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Solkoll grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Category:PD-user#Absolute%20value.jpg

More images I have made from maths: