A Geometry of Early Islam – Nesting Polygons

“3D Thinking” Page 190, 191: There are a number of Islamic design methodologies of which the “Nesting Polygon” method is one. The method places an arrangement of polygons within a polygon and continues infinitely placing the same but scaled arrangement within each polygon as it appears. The method was used to generate a lattice fromContinue reading A Geometry of Early Islam – Nesting Polygons

A Geometry of Early Islam – ABJAD, Circles and a Door

“3D Thinking” Pages 175 to 177 Islamic Geometry: This Seljuk period door dates from 13th-century Anatolia and stands as a possible example of a use of numeric values to communicate a message. The door’s design is based the Islamic “close-packing circle” method of design – in this case an arrangement of close-packing circles within a pentagon. The two primary numbersContinue reading A Geometry of Early Islam – ABJAD, Circles and a Door

A Geometry of Early Islam – The Circle Method and a Window

“3D Thinking” Page 187: The animation below shows the Arabian “close-packing” circle method that was used to create the window design of the 1356CE Madrasa of Amir Salf al-din Sargatmish in Old Cairo, Egypt. The design method dates back to the Abbasid period – a time of great creativity. The development starts with (i) aContinue reading A Geometry of Early Islam – The Circle Method and a Window

A Geometry of Early Islam – The “Ray” Method

“3D Thinking” Pages 183 to 186: An example of the Ray Method – one of the six primary methods used to create Arabian designs during the early Islamic period – during the Abbasid Caliphate 566-653CE. In the animation one arm of a “10-Ray” is used to position a “6-Ray” – then on the intersection ofContinue reading A Geometry of Early Islam – The “Ray” Method

ABJAD Designs Store Coded Messages

  I have been working on my latest book, “The Arabs,” – a new title in the “Geometry Through Time,” series. I’d like to share an idea originally formed in the 1960’s, and that I have been further developing for “The Arabs”; that of the possible use of the ABJAD system to store coded messages inContinue reading ABJAD Designs Store Coded Messages

An Octagon Design System

  Mathematicians working within the Islamic culture, from about 900 AD, often used geometry to communicate ideas, instructions, and even to send messages using the Abjad numerological system and the numbers of sides of polygons, rosettes, and other design forms, to encode words and meanings. Walking into the Alhambra in Granada, Spain, for example, is,Continue reading An Octagon Design System