5 geometric shapes, all touching each other

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I was playing aroud with shapes, which all connected. I managed to get 3 and 4 shapes all connected to each other, but I can't get 5 to work in 2D.

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Does anyone have an idea what these shapes are called and also how to get 5 shapes connected? It would be the best, if all shapes were congruent.

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It is impossible to make five 2D shapes (on a flat plane) which all touch each other. This is a consequence of the four color map theorem.