Two squares and two line segments. If the angle α is maximal, what is yellow : red?
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To the max
Tag: maximum
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The oppressed minority
A square with two inscribed squares. What is the maximal proportion green : blue?
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La Sagrada Familia
Two congruent right triangles on a common baseline have an overlap of variable size. What is the proportion of the minimal area to the maximal area?
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The maxbox
A square containing a red square of variable size sharing a vertex with a blue rectangle. What is the maximal blue fraction?
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The sliding square
A square of variable size inscribed in a semicircle of radius r. What is the maximum distance d of the lowest square vertex to the nearest semicircle corner?
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The turning point
Two isosceles triangles share a vertex. What is the maximum of their area proportion red/green?
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Mind the gap
A regular hexagon with an equilateral triangle sharing a vertex and having a vertex somewhere along the opposite side. What is the maximum length of line segment g?
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The Queen’s chamber
A right triangle with three squares forming a smaller inner triangle. What is the maximal blue fraction?
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The ocean view
Two squares of variable size share a vertex. What is the maximal blue fraction?
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The Bermuda Triangle
A triangle with an inscribed rectangle. What is the maximum red fraction?