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- W4376873485 abstract "SummaryWe present some variations on the theme of “cubes”. We start with right and wrong ways to draw cubes and orthogonal axes. From there we classify cubes in 3-space with integral coordinates. Further, we find that four complex numbers are the vertices of a drawing of a regular tetrahedron if their average of squares equals the square of their average. Tangentially, we find short proofs of the Siebeck-Marden theorem and a method for solving a cubic equation. Finally, we consider sets of complex numbers whose average of squares equals the square of their average." @default.
- W4376873485 created "2023-05-18" @default.
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- W4376873485 date "2023-05-17" @default.
- W4376873485 modified "2023-09-24" @default.
- W4376873485 title "Drawing Cubes, Finding Integral Cubes, and Solving Cubics" @default.
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- W4376873485 doi "https://doi.org/10.1080/0025570x.2023.2205820" @default.
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