Menu  directory  status & updates  copyrights  help 
etsy.com second generation Sierpinski tetrahedron VI, beaded art  
Johanna L. Miller 19Nov2018 Quantum mechanics in fractal geometry (<Sierpinski triangle>), Physics Today ...Ingmar Swart, Cristiane Morais Smith, and colleagues at Utrecht University in the Netherlands have taken a step toward experimentally studying quantum physics in a fractionaldimensional system. On a (111) surface of copper they placed carbon monoxide molecules (black indentations in the figure) to corral the surface electrons into a simplified Sierpinski triangle. Howell: it seems to me that Kaal has a fractallike basis to his "Structured Atom Model" (SAM), albeit with many component parts, and therefore more complex than many wellknown fractal patterns? Perhaps the use of fractals in hollywood CGI images is somewhat similar, but taken to artistic extreme?  
Shajesh, Parashar, CaveroPeláez, Kocik, Brevik 13Nov2017 Casimir energy of Sierpinski triangles, Phys. Rev. D 96, 105010 Using scaling arguments and the property of selfsimilarity we derive the Casimir energies of Sierpinski triangles and Sierpinski rectangles. The HausdorffBesicovitch dimension (fractal dimension) of the Casimir energy is introduced and the BerryWeyl conjecture is discussed for these geometries. We propose that for a class of fractals, comprising compartmentalized cavities, it is possible to establish a finite value to the Casimir energy even while the Casimir energy of the individual cavities consists of divergent terms. Howell: This does remind me of our recent "pyramids" emails. However, keep in mind that pyramids tend to have a square (or rectangular) base, not triangular like a tetrahedron. For example [Bosnia, Egypt, Mesopotamia, Central America, China (dirt, not stone)]. Even so, the energyfocussing properties of pyramid [material, geometry] may distantly relate to things like the Casimir effect?  

Johannes Kepler Howell: I seem to remember that Johannes Kepler always sought a tetrahedron concept as the proper way to explain planetary motions, even after he formulated Kepler's Laws? 

Great Pyramid of Giza can focus electromagnetic energy through its hidden chambers Andrey Evlyukhin, ... the international research team looked into the relationship between the shape of the Great Pyramid of Giza and its ability to focus electromagnetic energy. To do this, the team led by ITMO University in Saint Petersburg, Russia, created a model of the pyramid, one of the seven wonders of the ancient world, to accurately measure it electromagnetic response. Howell: This does remind me of our recent "pyramids" emails. However, keep in mind that pyramids tend to have a square (or rectangular) base, not triangular like a tetrahedron. For example [Bosnia, Egypt, Mesopotamia, Central America, China (dirt, not stone)]. Even so, the energyfocussing properties of pyramid [material, geometry] may distantly relate to things like the Casimir effect? 