Supplementary information

Contraction waves in the plasmodium extending in a maze just after the food supply was added. Waves were visualized by monitoring the accompanying rhythmic changes in the thickness of the plasmodium utilizing video image analysis (see Ueda et al. Exp. Cell Res. 162, 486-494; 1986). Red, green and blue correspond to an increase, no change and a decrease in the plasmodium thickness compared to the state 30 s earlier, respectively. Colour bar represents a cycle of the pattern variations. In the early stages after the food is supplied, as the plasmodium 'solves' the maze, the contraction waves increase in size and decrease in number, often propagating to and from the food-sites.

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