Exercise

Storing data in a dictionary

The surface you see below is called circular paraboloid:

Circular Paraboloid

It can be described by the following equation: $$ \frac{x^2}{a^2} + \frac{y^2}{a^2} = z $$ Let's set the coefficient $a$ to 1. Therefore, the radius at each cut will be equal to $\sqrt{z}$.

Your task is to create a dictionary that stores the mapping from the pair of coordinates $(x, y)$ to the $z$ coordinate (the lists storing considered ranges for $x$ and $y$ are given: range_x and range_y, respectively).

Instructions 1/3

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Calculate the value for $z$ coordinate using coordinates $x$ and $y$.
Create a new key for the dictionary circ_parab represented as a tuple containing $x$ and $y$.
Create a new key-value pair for circ_parab.