Tuesday, July 7, 2026

Los numeros de Fermat visualizados

Numeros de Fermat :

Una forma de visualizar los numeros de Fermat y los numeros de Fermat generalizados es usando cuadrados.

Los numeros en estas series crecen muy deprisa y resulta dificil trabajar con ellos de forma visual.

Empezando con una cuadricula de cuadrados de 3x3 para las series 3,5,17,257,65537,4294967297,

Fermat Numbers  visualized: 3x3 square grid
3 , 5 Numeros de Fermat

Una forma de encontrar el siguiente numero es dibujar un cuadrado con G-N como base y dibujar lineas perpendiculares  incluida la que pasa por el punto L.
La linea que pasa por el punto L divide el lado del cuadrado en 1/5.
Si seguimos con este proceso acabamos con una cuadricula de 5x5 cuadrados.
Repetimos este proceso con la cuadricula de 5x5 cuadrados para obtener una nueva cuadricula de 17x17 cuadrados.

Monday, July 6, 2026

July 2026

17-gon





 

Tuesday, June 16, 2026

Heptagons-spiral

 

Heptagons spiral




Heptagons



heptagons, circles, spiral

Friday, May 1, 2026

Sunday, February 1, 2026

Saturday, January 3, 2026

Wednesday, December 3, 2025

Sunday, November 2, 2025

Geo Nov25



17-gons



17-gon

Thursday, October 23, 2025

Triangular nested grids

Triangular nested grids:


3,3,3,3... or 5,5,5,...

Monday, October 13, 2025

Visual representation of Fermat numbers

 Images that show a visual representation of Fermat numbers and how those images can be used to create tessellations and other types of mathematical art.

The images are a combination of  visual geometry and visual number theory with an art component.

The images are based on square grids

The starting point for the Fermat numbers (3,5,17,257...) is a 3x3 square grid.


Wednesday, October 1, 2025

Saturday, September 27, 2025

27-gon neusis construction

 The construction of a 27-gon is based on the general construction methods for 6n+3 polygons.

Starting with the nonagon, 18-gon (double the nonagon) , and we can find the defining lines to construct the 27-gon.


27-gon neusis construction
27-gon neusis construction


Monday, September 8, 2025

Monday, June 2, 2025

Saturday, April 12, 2025

Saturday, February 1, 2025

Thursday, January 23, 2025

Squares fitted in regular polygons

The process I initially follow , is to start with the regular polygon that I want to insert the squares in, draw a loose point in one of the sides and repeat on the other sides (same length). I draw the squares and move the original point until I find the meeting point of the squares. I use GeoGebra to make the drawings.


Wednesday, January 1, 2025