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A proof demonstrates the non-existence of integer-dimensioned rectangular cuboids, indicating limitations in geometric constructions.
Preprint v1 — A proof that no rectangular parallelepiped with all integer edges, face diagonals, and space diagonal exists. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings.
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Joseph R. Keen (2026) studied this question.
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