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## The honeycomb

Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?

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## The folded napkin

A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?

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## Together we stand

Two squares sharing a vertex. What’s the angle α?

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## The pleasure dome

A semicircle with three squares. The areas of the smaller squares are given. What is the area of the biggest one?

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## Triple dice

An equilateral triangle with three congruent squares. What’s the angle α?

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## The wall

Two congruent rectangles and squares. Proof that the four points are on one circle.

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## The satellite

A circle containing three squares. What fraction is coloured?

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## The Lion King II

A regular hexagon and three squares. What is the proportion yellow : brown?

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