| dc.contributor.author |
Reiter, Clifford A. |
|
| dc.contributor.author |
Sawyer, J. F. |
|
| dc.date.accessioned |
2011-01-31T14:03:48Z |
|
| dc.date.available |
2011-01-31T14:03:48Z |
|
| dc.date.issued |
2010 |
|
| dc.identifier.citation |
Reiter, C. A. and J. F. Sawyer. (2010) "Generalized perfect parallelograms and their matrix generators." JP Journal of Algebra, Number Theory and Applications 16 (1): 1-12 |
en_US |
| dc.identifier.uri |
http://hdl.handle.net/10385/788 |
|
| dc.description.abstract |
Perfect parallelograms have edge lengths and diagonal lengths that are all
positive integers. These generalize Pythagorean triples which are perfect
rectangles. We consider the distribution of perfect parallelograms and
show they satisfy a quadratic Diophantine equation. The solutions to that
Diophantine equation can be generated by a finite collection of matrices
that generalizes the matrix based tree of Pythagorean triples. |
en_US |
| dc.publisher |
JP Journal of Algebra, Number Theory and Applications |
en_US |
| dc.subject |
perfect parallelepiped |
en_US |
| dc.subject |
perfect cuboid |
en_US |
| dc.subject |
Barning tree |
en_US |
| dc.subject |
generalized Pythagorean triangles |
en_US |
| dc.title |
Generalized perfect parallelograms and their matrix generators |
en_US |
| dc.type |
Article |
en_US |