Chryzodes

Chryzode
Field: Number Theory
Image Created By: J-F. Collonna &. J-P Bourguigno
Website: Chryzode, the pictorial arithmetic

Chryzode

Chryzodes are visualizations of arithmetic using chords in a circle.

Basic Description

Chryzodes use a simple process to create beautiful images. Given a circle, a certain number of evenly spaced points are chosen on the perimeter of the circle. Each point represents a number. An operation, such as addition or multiplication, is then used to connect certain points.

For example, if multiplication by 2 is chosen, then the point representing 1 will be connected to the point representing 2, 2 to 4, 3 to 6, and so on. Notice that modular arithmetic is used here, so that $6*2=12 \equiv 5 \pmod {7}\$ .

Continuing this process for a large number of iterations, creating many lines, produces images such as this page's main image. Below is an interactive applet which creates chryzodes based on user input. [Show Interactive Applet][Hide Interactive Applet]

ERROR: Unable to find Java Applet file: Chryzode.class.

Teaching Materials

There are currently no teaching materials for this page. Add teaching materials.

---

If you are able, please consider adding to or editing this page!

Have questions about the image or the explanations on this page?
Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page.