Using the answer of Taras Banakh, I have implemented an interactive example using HTML and Javascript. It shows all lines of the unital with random colors. Every line is clickable. After clicking on a line it shows the line together with points that belong to this line. To reset — click outside any line. I don't guarantee that this example will last forever (or even for a long time), so anybody interested in it can save the source of this page and host it where he wants. If somebody wants to improve or change this example, PM me for the source and how-to-launch (I'm too lazy to write documentation, shortly it's compiled from Java source using TeaVM).
Ihromant
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