Two regular hexagons and a circumcircle. What is blue : red?
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Pull the string
Author: Rik D. Tangerman
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Video: Square offspring
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Video: Squaring a rectangle II
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Mother’s umbrella
A circle containing two internally tangent circles. Prove that the red triangle is isosceles.
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Video: Pentagon offspring
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Six six four
Two regular hexagons and a square. What’s the angle α?
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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.