PRESENTATIONS WORKSHOPS
Presentations & Workshops
PRESENTATIONS WORKSHOPS
Category: DYNAMIC SPHERE GEOMETRY
A Presentation at the AAU in San Francisco, 2018
https://www.youtube.com/channel/UCmmENxx1PToNtaGPfsVrkpQ Presentations: http://rogerburrowsimages.com/mission-statement/
DYNAMIC SPHERES: GOLDEN RATIO ARCHITECTURE
“3D Thinking” Page 288: A “Golden Ratio” structure extracted from a 3D lattice generated by the sphere cluster, HP1.3. See Page 271, “3D THINKING ANIMATIONS.” The lattice is created by connecting the centers of the “Golden Ratio” spheres. The illustration shows how the lattice is generated and then how the structure is extracted from the space-filling […]
THE PYTHAGOREANS: PYTHAGOREAN TRIANGLES & CIRCLES
“3D Thinking” Page 131: An animation of the Pythagorean Theorem shown dynamically in terms of circles. In the animation the diameter of the outer circle equals the hypotenuse of the right-angled triangle. The diameters of the two inner circles/spheres equal the lengths of the other two sides of the right-angled triangle. According to the Theorem […]
DYNAMIC SPHERE GEOMETRY
The concept originated studying the geometry of a particular window in old Cairo. “3D Thinking” Page 264: The Dynamic Sphere Geometry is a type of 2D and 3D logic that, in the first place, generates “close-packing” tessellating arrangements of circles and spheres that infinitely fill space. Connecting circle and sphere centers or adding clipped […]
A Geometry of Early Islam – The Dynamic Circle Method
“3D Thinking” Pages 187, 274: Using close-packing circles to create surface designs, during the early years of Islam, requires a method to generate different close-packing circle arrangements. The dynamic sphere geometry provides such a method. Applying the geometry, starting with a 5-circle arrangement within the unit triangle of a square, generates many arrangements including the […]
Geometry Architecture Golden Ratio Proportions
“3D Thinking” Pages 280 to 289: The drawing shows an example of how a Golden Ratio “Ideation Lattice” is derived from the “Dynamic Sphere” geometry – and then how an architectural structure is extracted from the lattice. In this example, connecting sphere centers creates the lattice. The sphere packing is the “Golden Ratio” packing. Software […]
Geometry Architecture Dynamic Sphere Lattices
“Ideation lattices” are three-dimensional latticed generated by the “Dynamic Sphere Geometry” to stimulate “visual logic” and creativity. They are the three-dimensional equivalent of “Perceptual Patterns.” Form extracted from an ideation lattice generated by the dynamic sphere geometry
Dynamic Sphere Geometry – Updated Page
Have updated the “Dynamic Sphere Geometry” page. Applications are architectural, design, new materials. Revised page has updated animations showing how close packing sphere arrangements (of different sized spheres) are generated, examples of sequences and an example of an architectural lattice generated by the geometry.
Spheres Steiner Chain
In geometry, a Steiner chain is a set of n circles, all of which are tangent to two given non-intersecting circles (blue and red) where n is finite and each circle in the chain is tangent to the previous and next circles in the chain.