The rational cuboid and a quartic surface (Q1104964)
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scientific article; zbMATH DE number 4057599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rational cuboid and a quartic surface |
scientific article; zbMATH DE number 4057599 |
Statements
The rational cuboid and a quartic surface (English)
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1988
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Den Lösungen des diophantischen Gleichungssystems (*) \(x^ 2+y^ 2=r^ 2\), \(y^ 2+z^ 2=s^ 2\), \(z^ 2+x^ 2=t^ 2\) entsprechen Quader, deren Kanten und Flächendiagonalen sämtlich ganz sind. Verf. interpretiert (*) als Schnitt von drei Quadriken in einem fünfdimensionalen projektiven Raum und gelangt so neben bereits bekannten zu neuen Parametrisierungen der Lösungen von (*).
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parametric solutions
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system of quadratic diophantine equations
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rectangular parallelepiped
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integral edges and face diagonals
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intersection of three quadrics in five-dimensional projective space
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0.9218219
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0.8972124
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0.89591086
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0.8958174
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