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Found: 4

Problems Methods Colouring Colouring (other)

Colour the plane in red, green and blue in such a way that every line consists of points of at most two colours. Remember that you have to use all three colours.

Problem #PRU-100473

Problems Methods Colouring Colouring (other) Discrete Mathematics Covers and tilings Covers

11–15

I don’t know how the figure below can be made of several $1 \times 5$ rectangles which do not overlap. I am willing to pay $1$ pound if you show me a possible way of doing that which I have not seen before. What is the maximal amount of money a person can earn by solving this problem?

Problem #PRU-100476

Problems Methods Colouring Colouring (other) Discrete Mathematics Combinatorics Dissections, partitions, covers and tilings Covers

a) What is the answer in case we are asked to split the figure below into $1 \times 4$ rectangles instead of $1 \times 5$ rectangles?

(b) In the context of Example 1 what is the answer in case we are asked to split the figure into $1 \times 7$ rectangles instead of $1 \times 5$ rectangles?

Problem #PRU-100692

Problems Methods Colouring Colouring (other) Discrete Mathematics Combinatorics Dissections, partitions, covers and tilings

A $7 \times 7$ square was tiled using $1 \times 3$ rectangular blocks. One of the squares has not been covered. Which one can it be?