A regular hexagon shares a side with a regular nonagon. What’s the angle α?
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Sixtynine
Tag: hexagon
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Windshield wipers II
A regular hexagon and a circular arc with its centre. What is the length of the red tangent line segment?
A regular hexagon and two squares. The centre of the hexagon is a vertex of the smallest square. What is blue : red?
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Christmas star II
A regular hexagon and several line segments. What fraction is blue?
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Window decoration
Four squares and a regular hexagon. A circle with two tangents. Show that the circle is tangent to the hexagon circumcircle. Note that the right dotted tangency point does not lie on the hexagon side.
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Points in space
A regular hexagon with four diagonals. Prove that the four yellow points are vertices of another regular hexagon.
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Number six
Two regular hexagons and an extended side. Prove that the three red vertices are collinear.
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Tip of tipi
A regular hexagon is divided in four triangles and one quadrilateral. Express the hexagon area in terms of areas A, B and C.
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The Dutch roll
Two regular hexagons share a vertex. What is the angle α?
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Hex division II
A regular hexagon and two equals angles. What is blue : green : red?