A rectangle and a square. What is the proportion purple : blue?
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Ice cube
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The hourglass
A rectangle with two crossing line segments. What’s the minimal shaded fraction?
Four quarter circles of radius 1, each containing a square. What is the blue area?
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Below the tree line
A triangle is split in two. What is the area of the green quadrilateral in terms of lengths a and b?
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Tympanum II
A regular pentagon with a diagonal. What is the top angle of the isosceles triangle?
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The pillbox
Three touching circles in a rectangle and a common tangent. What’s the angle?
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The ramp
A right triangle is split in two. What is the maximum yellow fraction?
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The headphones
A unit square, a semicircle, a right triangle and an isosceles triangle. What is the total purple area?
Two similar rectangles. If the small one has area 4 what is the area of the large rectangle?
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The tympanum
A regular pentagon with a diagonal and an extended side. What is the top angle of the isosceles triangle?