Minkowski Diagram and Mathematica

[Pushoam]

Homework Statement

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Homework Equations

Mathematica

The Attempt at a Solution

I want to plot the diagram using Mathematica.
I saw on the net there is some kind of programming needed for this.
Do I need to learn programming for doing this?
If yes, how to learn it?

 

[Pushoam]

For calibrating axis in Minkowski diagram, we use (ct)² - x² =1, -1
This gives us the points (0,1) and (1,0) on both reference frames.
Now , to get (0,2) and (2,0) on both reference frames, do we have to use (ct)² - x² =4, -4 or
or we can measure the distance between (0,0) and (0,1), the (0,2) will be at the same distance from (0,1) on the ct' axis (is this right?).
Do the two approaches give the same answers? How to show it?