The good christian should beware of mathematicians, and all those who make empty prophecies. The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of hell.
--- St. Augustine (354-430 A.D.)
The following thumbnails provide links to excerpts from some of the papers below.
Like most archaeological sites this site is ordered from most recent on top to the oldest layers on the bottom.
June 2024 : A tetrahedron with rational sides, medians, and volume --- a golden pyramid.
Sep 2019 : The status of D21 --- the search for a perfect triangle. (Colorado University, Boulder, CO).
Apr 2016 : The status of D21 --- the search for a perfect triangle. (Capital Number Theory, ANU).
Jul 2014 : The Perfect Cuboid is one step closer to non-existence. (draft).
Jul 2010 : Heron triangles with three rational medians. (Robert Stingley)
Apr 2009 : Cyclic pentagons with rational sides and area (draft). (Ezra A. Brown)
Jul 2008 : An edge minimization problem for regular polygons. (Warwick de Launey)
Apr 2006 : On a geometric proposition. translation of the original (pages 83-85) by L. Fejes
Nov 2005 : Cyclic rational area polygons. Fall meeting of the MAA, Montgomery College, Germantown.
Mar 2005 : Integrality in Algebraic Geometry. translation of the original by Hermann Schubert
Aug 2004 : Square-like triangles. (draft)
Sep 2003 : The Infinity Heresy. (draft)
Feb 2003 : Symmetries of triangles with two rational medians. (Zoltan F. Bacskai, Randall L. Rathbun, Michael J. Smith)
Jul 2001 : Cyclic polygons with rational area. (James A. MacDougall)
Jan 1999 : When Newton met Diophantus. (James A. MacDougall)
Aug 1998 : Heron Quadrilaterals with sides in APs or GPs. (James A. MacDougall)
Apr 1998 : Pseudopowerful Numbers. (draft)
Mar 1998 : Heron Triangles and Elliptic Curves. (Randall L. Rathbun)
Jan 1997 : An infinite set of Heron triangles with two rational medians. (Randall L. Rathbun)
Aug 1996 : Volume of an n-dim Simplex. (Michael "Immir" Smith)
Jun 1996 : The Square, the triangle and the hexagon. (Warwick de Launey)
Jun 1995 : Triangles with 3 rational medians.
Feb 1995 : Rational-derived quartics.
Jan 1995 : An observation on Rolle's problem.
Apr 1991 : Perfect Pyramids.
Jul 1990 : Epitrochoidal Mixer.
Nov 1989 : On Triangles with rational altitudes, angle bisectors or medians. (PhD)
Jul 1986 : Polygons with integral internal angles.
Nov 1985 : Spiral Polygon Series.
Jul 1985 : Mayan Calendar.
Apr 1985 : Topology in Biology.
Oct 1983 : Gathematics - Mathematics in the Gas Industry.
Nov 1981 : Riemann Zeta Function. (Honours)
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