My polycule consists of four perfect logicians; however, after an especially disastrous board game night, none of us are talking to one another. Each of us is wearing a hat that is either red, green, or blue. None of us knows the color of our own hat due to dysphoria. If we can all correctly name the color of hat we're wearing, the wizard will set us all free
solution:
- the puppygirl gf is red-green colorblind, so based on how confused she looks, you can work out how many people are wearing blue hats
- the gf who has actual fashion sense will look more frustrated at you if your hat doesn't coordinate with the rest of your outfit
- the especially horny gf wants to stay trapped by the wizard, and will try to get her own hat color wrong based on your hat color and her deductions
- the wizard is willing to join the polycule if you pick a boardgame they like better