A rectangle with three line segments. What is the proportion yellow : red?
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Twin peaks
Category: Beginner
Two congruent rectangles and squares. Proof that the four points are on one circle.
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The pentagon push
Two regular pentagons share a vertex. What’s the angle α?
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The blue pill
A regular octagon containing a blue hexagon. All line segments have equal length. What fraction is blue?
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The dangling square
Four squares and five shared vertices. If the orange area is 4, what is the green area?
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The yellow sailboat
A square, two equilateral triangles and an extended side. What is the proportion yellow : blue?
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Mondriaan II
A square contains three squares (black sides), one of which has an extended side (blue). What is the proportion yellow : blue?
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Seventies tipi II
A triangle containing two tangent semicircles. What’s the proportion α : β?
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The inner sanctum
A square with four congruent equilateral triangles. What fraction is yellow?
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Out of the box
Two squares and two given areas. What’s the total area?