Primitive Pythagorean Triangles - Formulas and Visualization

A set of programs to generate and visualize all primitive Pythagorean triples using Euclid's and six other derived formulas.

版本 1.3.13 (13.9 KB)
20.0 次下载
(1)
2022/10/3

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A set of programs using Euclid's and seven other derived formulas (P2 to P8) to generate and visualize all primitive Pythagorean triples. No for-loops or if-then statements are used in the programs to generate the triples except for visualization purposes. The formulas were created following visual observations of the way Euclid's Pyhtogrean triples are geometrically distributed and the relationships among them.
Example (image 10MB):
https://commons.wikimedia.org/wiki/File:Primitive_Pythagorean_Triangles_(10MB).png?fbclid=IwAR2ARxVLGdViQLO7rjNEJdAY63N6CRuRGkklLlmYFdYALvgDRf7U6mv9R8I
Example (image 18MB)
https://commons.wikimedia.org/wiki/File:Primitive_Pythagorean_Triangles_(18MB).png
Example (pdf):
https://commons.wikimedia.org/wiki/File:Primitive_Pythagorean_Triangles_(.pdf_file).pdf

引用格式

Ismael Abdulrahman (2026). Primitive Pythagorean Triangles - Formulas and Visualization (https://ww2.mathworks.cn/matlabcentral/fileexchange/117950-primitive-pythagorean-triangles-formulas-and-visualization), MATLAB Central File Exchange. 检索时间: .

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版本 已发布 发行说明
1.3.13

Adding a new program (P8) and changing names accordingly.

1.3.12

Adding downloading links.
1.3.11

Minor
1.3.10

Adding a new program (P8_All2_Program1a.m) to generate a large set of triples with high resolution (a 13MB image file is attached).

1.3.9

Fixing program names.
1.3.8

Minor
1.3.7

Minor update
1.3.6

Minor update
1.3.5

Minor changes
1.3.4

Adding a new program (8_ALL_Program1a.m) to dynamically plot all primitive triples and label their three sides.

1.3.3

Minor
1.3.2

Minor changes.
1.3.1

New plotting figures are added.

1.3.0

New formulas and programs are added.

1.2.2

Minor change
1.2.1

Minor change
1.2

A new program is added.

1.1

Euclid's formula is added.

1.0