Saturday, January 3, 2026

Geo Jan26




Pentagon and square root 2




Visual geometry, no comments.






17-gon

The image is a geometric pattern resembling a spirograph design or a complex star polygon. The design is created using a series of overlapping lines forming a complex, layered circular shape. It has been described in various contexts, including as a design for a coaster or embroidery pattern. The pattern is similar to visualizations of complex mathematical or scientific structures, such as a "discrete spiral network" used to plot elements in the periodic table. 



17-gon


The image is an abstract illustration of a circular optical illusion pattern. The design creates a sense of depth and movement through repeating geometric shapes in yellow and light blue.
  • The pattern appears to be a twisted or braided ring, formed by many interlocking diamond-like elements.
  • The high contrast and specific arrangement of colors and shapes are typical features used to create visual effects that trick the eye.


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

Thursday, July 31, 2025

Generalized Fermat Numbers, visualized


Generalized Fermat Numbers , visualized: 3,5,17...
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. 

 

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

Monday, November 25, 2024

Visual geometry Nov-Dec24

 


8,24,56,120,248,504,1016,2040,4088,8184,16376
,32760...




Thursday, August 22, 2024

Monday, July 1, 2024

Saturday, June 1, 2024

Visual geometry June24


squares and pentagons
Squares and pentagons


Wednesday, May 29, 2024

3d geometry: heptagon

 A geometric template to create a 3d geometric figure based on the heptagon:

A 3d image created with heptagons
A 3d shape created with heptagons