Droste Dobble
Droste Dobble
Droste Dobble
Droste Dobble
Droste Dobble
A Dobble card looks like this (modulo copyrighted images)
Each card has eight symbols on it
Any two cards have exactly one symbol in common
Some lemmas
- You can place all the cards containing a given symbol on a line.
- There is a unique line containing each pair of cards.
- Eight lines intersect at a single card.
It's a projective plane!
Cards are points and lines correspond to symbols.
A simpler example
Theorem
A projective plane is its own dual - you can swap points and lines and it still has the same structure.
Corollary
You can replace the symbols on a Dobble card with more Dobble cards.
It still works!
There's absolutely no reason why you shouldn't keep going.
Dobbleception!
Ta!
Generate your own: christianp.github.io/droste-dobble
Icons from Emoji One (CC-BY-SA)