VISUAL GEOMETRY

Saturday, January 3, 2026

Triangular nested grids

Triangular nested grids:

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

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.

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

Monday, September 8, 2025

Generalized Fermat Numbers, visualized

3,5,17 Fermat numbers, visualized

The image appears to be a geometric construction involving squares and lines, possibly related to perspective or a visual illusion. It is difficult to determine a direct connection between this specific geometric figure and Fermat numbers based solely on the visual information and available search results.

Geo June25

Visual geometry, april/may 2025

Visual geometry Feb/ March 25

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.