Two regular hexagons and a square. What’s the angle α?
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Six six four
Author: Rik D. Tangerman
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Video: Triangle offspring
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Square offspring
Three squares and two line segments. What’s the angle α?
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Video: No laughing matter
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Squaring a rectangle II
A square contains a red rectangle with an extended side. Prove that red=|AB||AC|+|BE||CD|. By Matthew Arcus.
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Video: Unring a bell
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Pentagon offspring
Three regular pentagons are placed as shown. Prove that the three black line segments are concurrent.
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Video: The doubleganger
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Triangle offspring
Four equilateral triangles. Prove that the three black line segments are concurrent.
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