PDFPRINT Congratulations to JPL, and the whole NASA team, on successfully landing the Curiosity Rover on Mars; and thanks for sharing the landing experience on NASA TV last night! Curiosity travelled from the Earth to Mars in about eight months, traveling 352 million miles (569 million km), leaving a rotating and orbiting Earth, to rendezvous with […]
Timbuctoo and Tahir Shah
PDFPRINT Tahir Shah, and his lovely family, just visited us in Park City. Tahir is not a mathematician, or a scientist, but an author of books, “…many of which chronicle a wide range of outlandish journeys through Africa, Asia and the Americas. For him, there’s nothing so important as deciphering the hidden underbelly of the lands […]
The Leonardo, Salt Lake City. When Math Meets Art Everything Changes
PDFPRINT Do you want to think about geometry in a whole new way? Explore ideas and create amazing designs and dynamic 3D structures? I’ll be presenting old and new geometries that create everything from labyrinths to moon bases at The Leonardo in Salt Lake City, Utah, during October, 2012. The presentation will take the form of a small exhibition/workshop of high-definition animations, 3D structures […]
Young Inventors Summer 2012
PDFPRINT Just completed two summer workshops at the Kimball Art Center, in Park City, Utah. The morning sessions were for “Teen Inventors,” aged from 11 to 17 years, and the afternoon sessions were for “Young Inventors,” aged 5 to 10 years. Most inventors completed an invention a day […]
Creative Geometry of Close Packing Spheres
PDFPRINTI 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 […]
Labyrinth “Keys”
PDFPRINT 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 […]
Visual Imagination and Invention
PDFPRINTThis 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 […]
ABJAD Designs Store Coded Messages
PDFPRINT 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 […]
Summer 2012 Inventor Classes
PDFPRINT The next Young Inventor Workshop will be on July 23rd, July 24th, and July 25th. 3 to 5pm. Please visit the Kimball Art Center site for more information: http://Reg125.Imperisoft.com/KimballArtCenter/ProgramDetail/3233323037/Registration.aspx The first Teen Inventor Workshop will be held on July 23rd, July 24th, and July 25th. 10 to 12 am. Please […]
An Octagon Design System
PDFPRINT 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, […]