A regular pentagon and a circular arc through its red centre. What’s the proportion α : β?
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The pentagon proportion
Tag: pentagon
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The crosshairs
A regular pentagon and two semicircles. Prove that they are orthogonal, i.e. the tangents in the intersection point are orthogonal.
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The vanilla ice cream
A regular pentagon with two extended sides and a right angle. What is blue : green?
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Yeah, right!
A regular pentagon with three line segments. What’s the angle α?
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It’s all right II
A regular pentagon and a right triangle. What’s the angle α?
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Fives and six
Two regular pentagons and a circle through four vertices and two intersection points. What is is the green overlap fraction?
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The orange pennant
A regular pentagon with two coloured triangles. What’s the proportion orange : blue?
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Getting stuck
A regular pentagon and a circle through two of its vertices and its centre. What’s the angle α?
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Family ties
Two regular pentagons share a vertex. What is the proportion red : green?
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The antenna
A regular pentagon with an extended side. What’s the angle α?