7/6/2023 0 Comments Crockett johnson![]() \(a=1,\) then the larger square, sharing its lower left hand corner, has sides of length \(\sqrt[.\) Thus, by superimposing Crockett Johnson's painting with the unlabeled graphs of Figure 7, one can understand why the answer to the question he posed is yes!įigure 9. If the side of the small square in the lower left-hand corner of this painting, outlined in blue in Figure 9, is considered to have length \(1,\) i.e. (Courtesy of Philip Nel.) Answering the question: “What do the straightedge lines and compass arcs do when two parabolas and a hyperbola double a cube, just stand watching?”Īs we can see in Figure 9, Crockett Johnson used the diagram in Figure 7 to produce a wonderful visualization of the two parabolas and a hyperbola doubling a cube in his painting The Problem of Delos (Menaechmus) (1968), shown in Figure 8. ![]() Problem of Delos (Menaechmus), by Crockett Johnson (1968). ![]()
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