A regular hexagon and a circle centred in the blue point. What’s the angle α?
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The pumpkin
Tag: hexagon
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Tilted hourglass III
A regular hexagon, a circle through its red centre and two line segments. What’s blue : orange?
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The hex division
A regular hexagon with two diagonals and two perpendiculars. What’s red : yellow?
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The see-through triangle
A regular hexagon and an equilateral triangle share a vertex. What is red : blue?
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Go Orange
A regular hexagon, two diagonals and an orange equilateral triangle. What’s blue : orange : red?
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Roll over Beethoven
Two regular hexagons share a vertex. If the red hexagon has area 4, what is the area of the blue one?
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The hexagonal dart board
25 darts land inside a regular-hexagonal dart board with edge length the square root of 3. Show that at least five of the darts land inside the same unit circle.
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Your turn
A regular hexagon of which the centre is a vertex of an equilateral triangle. What is the angle α?
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The beehive
Three regular hexagons, one centre and a triangle. What fraction of the total area is orange?
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Outside the hive
A regular hexagon and two squares. What’s the angle α?