Inside this regular octagon sit two squares of area 8. What’s the area of the shaded rectangle?pic.twitter.com/FgdfcoY1aj
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I love this! So would equal area also be the limit of an octagon-square tessellation of the plane? And how can a hexagon-square tiling be equivalent to this?
For the first question, I think so, assuming that you first subdivide the octagon-square tessellation into half-squares and A-size rectangles and then perform rule II repeatedly. For the second question, Cockayne's hexagon-square tiling looks like this (continued)pic.twitter.com/DoxqYmIGcq
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