How can I link product variants to their respective pages?

Hi!

I got a question concerning using variants.

The situation is as follows:

Collection X, consists of 4 colours:
black
blue
gold
silver

The products have their own product page; so in total 4 product pages.

When the user is looking at one of these product pages (e.g. blue), I would be convenient that he or she can select a different color through a drop down menu. Now the most important condition: after selecting another color (e.g. black) the corresponding product page will be displayed.

From that product page the user can again select another colors.

Is this possible? If so, how can I do that?

Thank you!