Perfect Prism Problem- A Better Way of Representing Perfect Cuboid Problem

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-4
Year of Publication : 2021
Authors : Jayaram A S
  10.14445/22315373/IJMTT-V67I4P507

MLA

MLA Style: Jayaram A S "Perfect Prism Problem- A Better Way of Representing Perfect Cuboid Problem" International Journal of Mathematics Trends and Technology 67.4 (2021):47-50. 

APA Style: Jayaram A S(2021). Perfect Prism Problem- A Better Way of Representing Perfect Cuboid Problem International Journal of Mathematics Trends and Technology, 47-50.

Abstract
This paper illustrates that the perfect cuboid problem, which is also known as perfect Euler brick problem, can be easily and conveniently represented by a prism instead of a cuboid. This will make the concept simpler and easier to understand. It eliminates the use of solid diagonal of the cube, which used to be a hidden line. It makes the same line to be represented on the surface of the prism as face diagonal. All the seven lines representing the integer numbers are on the surfaces and on the edges. This eliminates repeated extra lines and makes the simpler visual meaning of the problem. The aim of this paper is not to prove or disprove the problem but to clearly illustrate that the key factor is common numbers in Pythagorean triplets, finally converting the whole problem into 2D with a set of triangles.

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Keywords : Perfect Euler brick problem, Perfect cuboid problem, Prism representation, Pythagoras theorem, Seven integers.