Question 4
The diagram below shows a $4\times4$ board made of $16$ unit squares, which contains one star in each corner cell. The board is to be partitioned - by cutting along the grid lines - into non-overlapping regions, where each region is connected by sides. A partition is said to be valid if the regions all have the same area and contain exactly one star each. Draw all the valid partitions of the board.
(Note: Two partitions are considered the same if they can be obtained from each other by a finite number of reflections and/or rotations.)
Answer:
(Note: You may not need to fill out all the provided answer diagrams.)
(Note: Two partitions are considered the same if they can be obtained from each other by a finite number of reflections and/or rotations.)
Answer:
(Note: You may not need to fill out all the provided answer diagrams.)