## THE TETRILING REASSEMBLY

The goal for this project was to design a program that could find a tiling solution to a random target shape by using a given set of tetris pieces. The algorithm would be tested based on time performance and accuracy.

The final algorithm scored within the Top 10 in the class for accuracy. It is a greedy solution which works by calculating a neighbours matrix for the target shape and placing the tetrominoes where they would encapsulate the lowest sum of neighbours.

###### TYPE

*MEng Design Engineering*

###### SKILLS

*Programing*

*Python, Visual Studio Code*

###### FIELDS

*Programming*

###### STATUS

*Finished*

*2018*

### HOW IT WORKS

My final algorithm works by calculating a neighbours matrix from the target shape. It then creates a score matrix for all the possible placements for each shape, obtained by summing the total value of neighbours that the shape would contain when placed in each square of the neighbours matrix. Once the score matrix is generated for each shape, the algorithm will start placing the tetrominoes that encapsulate the lowest sum of neighbours.

Example of a target shape and its neighbours matrix.

Example of a perfect solution and a low accuracy solution. It is shown that pieces with a lower sum of neighbors fit more perfectly (look at the yellow L in this case).