1 citations · 1 across the 7 of their papers we have counts for
7 papers
Polygons in Polygons with a Twist
James M Parks
This is a study of the construction of particular regular sub-n-gons T in regular n-gons P using a special system of chords of P. In particular, some of these sub-n-gons have areas…
Max/Min Puzzles in Geometry IV
James M Parks
In the previous paper, Max/Min Puzzles in Geometry III, we searched for the smallest area triangle which contained a regular unit polygon (Square, Pentagon, Hexagon). In this paper…
Max/Min Puzzles in Geometry III
James M Parks
The first two installments of this series of papers dealt with the maximum area polygons: Parallelogram, Rectangle, Square or Equilateral Triangle, in given triangles. Minimum area…
Max/Min Puzzles in Geometry II
James M Parks
In this paper we continue the investigation of finding the max/min polygons which can be inscribed in a given triangle. Here we are concerned with equilateral triangles. This may s…
Max/Min Puzzles in Geometry
James M Parks
The objective here is to find the maximum polygon, in area, which can be enclosed in a given triangle, for the polygons: parallelograms, rectangles and squares. It will initially b…
Computing Pythagorean Triples
James M. Parks
Pythagorean triples are the positive integer solutions to the Pythagoras equation for right triangles, a2+b2 = c2. They have been studied for many years, many centuries in fact. In…
On the Curved Patterns Seen in the Graph of PPTs
James M. Parks
Dr. Ron Knott constructed a graph of all Primitive Pythagorean Triples (PPTs) with legs up to length 10,000, using Mathematica. The patterns are very interesting, suggesting conic…