New types of geometry for innovation in 2D and 3D
I first developed the Dynamic Sphere Geometry in the late sixties; where spheres transform from one close-packing relationship to another, usually in finite sequences. The geometry intrigued me because most of the sphere arrangements generated had never been seen before and were unique. Since first presenting the Dynamic Sphere Geometry, in the early seventies, I […]
In my first iBook title, “Labyrinths,” published by Apple, you’ll find a proposition that “Keys,” were used to design labyrinths of all sorts, from Neolithic to Medieval times. The “Labyrinths,” title is part of the “Geometry Through Time,” series, that I have been working on, where I explore the geometrical systems used by past […]
This web and blog site is primarily about geometry and about new ways to model structures in space. But it is also about imagination and the need to be flexible with the “models” we create, whether they are geometric, or not; modeling anything from an atom to the way a rain drop falls, or how […]
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 in […]
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, […]
For those with iPads I’m pleased to announce the publication, by Apple, of my iBook Author title, “Labyrinths.” The title is in the, “Geometry Through Time,” series that covers the cultural applications of geometry through time and includes the titles: The Pythagoreans, Art of the Arabs, The Celts, Nomads, Ancient China, and The Americas. The applications […]
Here’s a new animation from the Hidden Images series published by Running Press, in Philadelphia, USA. These are some images seen in Design # 1 from the title, Garden. The animation was prepared for the Spring 2012 Young Inventor class. The images seen in the design animated below were found and colored by different children and […]
Have added a link to Wooden Books, the UK publisher of the Altair Design book series. The link connects to “Altair Interactive” – a computer App for coloring and creating pictures and designs.
https://www.youtube.com/watch?v=QRTgAUEdg7c&t=78sThis is a low res extract from a large HD “Dynamic Geometry,” animation from a machine I built in 1972 – one of the many dynamic geometry animations created for exhibition. Please see the “Exhibition and Lectures” section of this website.
Here’s a second animation using the same Images design as before. Actually this is the first animation that I actually put together using Adobe’s “After Effects.” Will keep improving the animations and hope to be a bit more adventurous!
