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How many cards are needed to have all so all the cards have $10$ different pictures and each card has exactly $3$ pictures in common with any other card and each picture shows up an equal amount of times.

I want to make a card game like Spot It! where you say $3$ pictures instead of $1$. I don't understand how the people who made Spot It! could do this with $8$ pictures. what method do I use to make it work for any amount of pictures in common. we could think of this as a graph I think so this might have something to do with graph theory.

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  • $\begingroup$ Are you talking about Dobble? $\endgroup$
    – user872441
    Commented May 2, 2021 at 17:19
  • $\begingroup$ We can use a cyclic difference set where every number appears 3 times. said in this video here about the math of Dobble/Spot it! youtube.com/watch?v=VTDKqW_GLkw $\endgroup$
    – user872441
    Commented May 3, 2021 at 23:29

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