• Title of article

    Rational tetrahedra with edges in arithmetic progression

  • Author/Authors

    Darlene C. Chisholm، نويسنده , , J.A. MacDougall، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    24
  • From page
    57
  • To page
    80
  • Abstract
    This paper discusses tetrahedra with rational edges forming an arithmetic progression, focussing specifically on whether they can have rational volume or rational face areas. Several infinite families are found which have rational volume, a face can have rational area only if its edges are themselves in arithmetic progression, and a tetrahedron can have at most one such rational face area.
  • Keywords
    Rational tetrahedra , Heron tetrahedra
  • Journal title
    Journal of Number Theory
  • Serial Year
    2005
  • Journal title
    Journal of Number Theory
  • Record number

    715684