PERFECT QUADRILATERAL RIGHT PRISMS

Allan J. Macleod

doi:10.1216/RMJ-2013-43-5-1689

PERFECT QUADRILATERAL RIGHT PRISMS

Allan J. Macleod

School of Health and Life Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We consider right prisms with horizontal quadrilateral bases and tops, and vertical rectangular sides. We look for examples where all the edges, face diagonals and space diagonals are integers. We find examples when the base is an isosceles trapezium or a parallelogram, but no solution for a kite or rhombus.

Original language	English
Pages (from-to)	1689-1705
Journal	Rocky Mountain Journal of Mathematics
Volume	43
Issue number	5
DOIs	https://doi.org/10.1216/RMJ-2013-43-5-1689
Publication status	Published - 2013

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10.1216/RMJ-2013-43-5-1689

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abstract = "We consider right prisms with horizontal quadrilateral bases and tops, and vertical rectangular sides. We look for examples where all the edges, face diagonals and space diagonals are integers. We find examples when the base is an isosceles trapezium or a parallelogram, but no solution for a kite or rhombus.",

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AB - We consider right prisms with horizontal quadrilateral bases and tops, and vertical rectangular sides. We look for examples where all the edges, face diagonals and space diagonals are integers. We find examples when the base is an isosceles trapezium or a parallelogram, but no solution for a kite or rhombus.

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DO - 10.1216/RMJ-2013-43-5-1689

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EP - 1705

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 5

ER -

PERFECT QUADRILATERAL RIGHT PRISMS

Abstract

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