Geometrical systems of the past, present, and future.
“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 numbers […]
“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) a […]
“3D Thinking” Pages 67, 75, 77, 210 to 213: Ideas of “Divine Proportions” originated in the distant past. For the Pythagoreans whole numbers resonated throughout the cosmos in sacred music, in geometry and in number. For the Harrapans of the Indus Valley they found expression in fire altars of different shapes but of constant areas […]
“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 of […]
“3D Thinking in Design and Architecture from Antiquity to the Future” – Thames and Hudson – published April 2018. Amazon UK; Amazon USA; Waterstones UK. UKP 39.95. 328 pages, over one thousand illustrations and photos. INDEX: Visual Logic 14. Neolithic Geometries 32. The River Cultures 58. The Americas 106. The Pythagoreans 124. European Tribal Geometry 160. Geometries […]
Mind Doodles are visual puzzles – the product of various types of logic developed by cultures past and present. Each design has been selected to stimulate your visual perception or to challenge your logic. The book is sized like a journal but its objective is to stimulate ideas, to provide a platform for creativity, to provide space for idle […]
This is what Thames & Hudson Ltd (London), my publisher, are saying about my latest book, “3D Thinking” (to be published Spring 2018): The foundations, forms and patterns in architecture, design and decorative arts throughout the world have been deeply influenced by the geometries of past cultures. From the first path-like doodles on cave walls […]
The math edit has been completed – and so has the index. The cover seems to be on the right track but am waiting for the next visual. I think there might be one last round to make sure that all the editorial and design changes have been made correctly. So fingers crossed that the […]
The deadline for the final edit is August 15th – this includes the math edit which is almost complete. The last remaining task is to complete the Index. I had no idea that the editorial phase would take up so much time. We were a little held up last year due to an earthquake in […]
Just returned from the Bridges Conference held this year at the University of Jyvaskyla, Finland. Met some great people, mathematicians, architects, designers… Presented “Shape Changing Polyhedra,” from my latest book “3D Thinking” to be published by Thames and Hudson Ltd Spring 2017. My presentation included stop frame animations and movie clips of shape-changing polyhedra full-shell […]
