کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595021 1335794 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rational tetrahedra with edges in geometric progression
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Rational tetrahedra with edges in geometric progression
چکیده انگلیسی

This paper discusses tetrahedra with rational edges forming a geometric progression, focussing on whether they can have rational volume or rational face areas. We examine the 30 possible configurations of such tetrahedra and show that no face of any of these has rational area. We show that 28 of these configurations cannot have rational volume, and in the remaining two cases there are at most six possible examples, and none have been found.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 128, Issue 2, February 2008, Pages 251-262