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A 3D-printed version of the Reutersvärd Triangle illusion. M.C. Escher's lithograph Waterfall (1961) depicts a watercourse that flows in a zigzag along the long sides of two elongated Penrose triangles, so that it ends up two stories higher than it began. The resulting waterfall, forming the short sides of both triangles, drives a water wheel.
The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = 13×5 / 2 = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent.
The Ladder from Hatch Escapes has become one of the most buzzed-about escape rooms in the country, redefining how puzzles can tell stories. This L.A. escape room explores corporate greed — and ...
Crossed ladders of lengths a and b. h is half the harmonic mean of A and B; equivalently, the reciprocals of A and B sum to the reciprocal of h (the optic equation). Given a, b, and h, find w. Two ladders of lengths a and b lie oppositely across an alley, as shown in the figure. The ladders cross at a height of h above the alley floor. What is ...
Hatch dogs around a door on the R/V Knorr. The watertight doors that allow passage through bulkheads between compartments inside a ship can be closed during emergencies to seal off one compartment from another, thus isolating flooding, smoke and heat from adjoining compartments. The objects that are wedged against the door to hold it closed are ...
The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles.
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The 15th monohedral convex pentagonal type, discovered in 2015. In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon.