Once upon a time, four queens known as the queens of blue, red, green and pink were locked in a bitter feud. The monarchs lived on four islands, all the same size, yet each with its own distinctive wildlife and vegetation. Each queen plotted to conquer all four islands for herself, and war would certainly have begun, if not for the timely intervention of the four queens’ wise and peacemaking daughters.
The clever princesses proposed a compromise:
- So that everyone could enjoy the islands’ full variety, each island would be broken into a grid of 20 equally sized plots, and each queen would rule over five plots on each island.
- To avoid trespassing and border disputes, each queen’s domain on each island would be a single well-connected region.
- So that the queens could keep an eye on each other, the four domains on each island would meet somewhere at a single corner.
- And lastly, to prevent outside influence and to maintain the peace, the maps would be kept a secret from outsiders.
Consumed with curiosity, I sent my assistant as a spy. He came back with one full map and three partial maps, which are shown below.
My assistant gathered one other scrap of intelligence: On the fourth and final island (bottom right), no two regions are the same shape nor the mirror images of each other.
From this information, can you complete the maps of all four islands?
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