Four isosceles triangles of base 1 and four of base √2 share their top vertex. What is the proportion brown : gold?
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The chocolate muffin
Category: Beginner
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Arc de Triomphe
A parabola passing through a square’s bottom vertices and tangent to its top side. What fraction is blue?
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The giant’s shoulder
Two equilateral triangles inside a square. What’s the proportion orange : blue?
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Buddha’s belly
A square containing a quarter circle and a tangent line segment. What is a : b?
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Square eyes
A square with four quarter circles of which the intersection points are the vertices of a yellow quadrilateral. What fraction of the total area is yellow?
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The outsider
A circle with an inscribed regular pentagon, a square and a triangle. Prove that the point lies on the circumference of the circle.
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The life net
The vertices of a regular hexagon are connected to midpoints of opposing sides. What fraction is red?
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Below the line
Two squares share a vertex at the origin and have their sides along the x- and y-axis. Two vertices lie on the line satisfying x+2y=c. What is the proportion purple : yellow?
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The pivot table
Two squares share a vertex. What is the proportion purple : green?
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Colour confinement
A semicircle with three tangent line segments. What is its area in terms of lengths a and b?