Genius Square puzzle solver in Python

Last update: Dec 15, 2022

Overview

Genius Square

Genius Square puzzle solver in Python

Introduction

The Genius Square is a spacial awareness game for children. The game consists of seven, six-sided dice, a 6x6 board, 7 'blocker' pieces, and 9 tetris-like pieces of different shapes.

A player rolls seven six-sided dice:

Each dice is then used to put a 'blocker' piece on the board at the given location:

The player then takes the 9 coloured pieces and attempts to fit them onto the board:

One completed state for the board would be as follows:

Algorithm

To solve the puzzle we take one of the largest pieces, in our case the four-cell-square piece and attempt to find a place on the board where it fits in. Once we have done so, we then check the next smallest piece and attempt to find a place where that also fits. At some point we will reach a situation where there are no locations where the current piece can go. At this point we back-track to the previous pieces and see if there are additional locations that can be used. This is continued until we reach the smallest piece, which should fit in the large remaining cell.

Usage

Simply click ROLL DICE to set the seven blocker cells. Then click SOLVE to solve the puzzle.

Setup

For Python we need the following:

pygame (Tested with v1.9.6)
numpy (Tested with v1.18.3)

pip install pygame
pip install numpy

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Comments

Dice combination issue?

Hi Thanks for this code. Ran this and ended up with a duplicate "blocking" location from your dice. "F2" & "F2". This resulted in there only being 6 blocking squares on the board. The game was SOLVED, leaving one BLANK square on the board! Think there's a little tweaking required in either your dice combinations or the dice "throwing" routine.

Not being a programmer, I doubt I'd have any clue as to what the issue is, but just thought you might like to know. Thanks again for a great program to compliment my addiction to THE GENIUS SQUARE. Regards, Richard.

opened by RichardJThorp 4
Anyway to make a manual input for pegs?

I was wondering if there was anyway to make a manual input for the pegs so we can use the solver to actually solve the genius square. When I say manual input for pegs, I just mean like B4, F1,etc.

opened by ghost 2
CLI version

How easy would a CLI-only version that uses multiple threads (but that's only an idea, threading can make a whole ton of issues) be?

Or at least a standalone function which you give dice locations to and it returns the solution or False, without pygame or numpy? Obviously numpy can do a lot of heavy lifting, but perhaps a more "educational" version where the code is pure python?

Thanks!

opened by Pythonic456 0
Computation time to show all solutions for given blockers pattern

How many combinations should the software test to list all possible solutions for a given blockers pattern?

The red piece can be rotated or flipped in 4 different ways and it should be tested on 36 different cells, obviously some positions could have a blocker or another already placed piece but in terms of iterations just the red piece accounts for 4*36 combinations, this value has to be multiplied by the combinations of other pieces. This is a huge number and then listing all possible solutions for a given blockers pattern is not possible in a reasonable time.

What's your opinion?

opened by adibacco 1