# circles and bundles of radii

- Author:
- chris cambré

- Topic:
- Circle

## starting with radii

The girih method working with a fixed set of polygons creates stars with a fixed number of points. I addition to this system a second method was established. In circle bundles of radii were drawn. Intersection points of these radii define segments, forming polygons. This construction method allows combining stars with a different number of points within one pattern. In the article Girih for Domes: Analysis of Three Iranian Domes the authors Mohammad Hossein Kasraei, Yahya Nourian and Mohamadjavad Mahdavinejad describe this method as the radial girih method or

**.***Dast-Gardan girih*In the example you can see how the pattern is constructed.

- Within a unit repeat concentric circles are drawn on every corner point.
- These circles are divided into congruent sectors.
- Diagonals in the unit repeat define the center points of additional circles
.*(step A)* - Connecting intersection points of radii and circles generates a line pattern
.*(step B)* - This pattern is mirrored on the axes of symmetry if the unit repeat
.*(step C)*

**is a geometric pattern that combines 12-pointed stars with 9-pointed stars.***(step D)*