Nearby, in the long-depopulated villages, you can see stirrings of life: In a remote corner of El Salvador, investigators uncovered the remains of a horrible crime — a crime that Washington had long denied. The villagers of El Mozote had the misfortune to find themselves in the path of the Salvadoran Army's anti-Communist crusade. The story of the massacre at El Mozote — how it came about, and hy it had to be denied — stands as a central parable of the Cold War.
It contains links to the contemporary mathematical and scientific literature. I describe some of the chance events in and that led to my three-year immersion in this study, in which I was guided by both mathematics and physical experimentation.
I benefited greatly from discussions with several eminent mathematicians, some of whom appear in photos below, but especially useful in my study of the geometry of periodic structures were the two books 'Third Dimension in Chemistry', by A.
Wells and 'Regular Polytopes', by H. I owe special thanks to the architect Peter Pearcewho in demonstrated for me his concept of saddle Cal soap essay. Two months later, I had the good luck to be visited by the geometer Norman Johnson, who had just completed his mathematics PhD under Prof.
Coxeter at the University of Toronto. Norman told me about Coxeter's paper on regular skew polytopes Proc. Van Attawho was the associate director.
Fashioning special tools for the fabrication of plastic models of minimal surfaces was just one of several tasks he performed with unfailing skill and ingenuity.
I am enormously indebted to all of these people!
In SeptemberI began a collaboration with Ken Brakkewho makes precise mathematical models of minimal surfaces with Surface Evolverhis powerful interactive program. Some results of our joint work are displayed at Triply periodic minimal surfaceswhich is one of Ken's many fascinating web sites.
I pay special attention here to the gyroid minimal surface, G. The evidence for my claim that the gyroid is embedded included a computer-generated movie of Bonnet bending of the surface and also a physical demonstration of such bending, using thin plastic models of the surface.
The stereoscopic version of the movie was subsequently lost, but a non-stereoscopic version that did survive is included in this videostarting at about 3m35s after the beginning.
If you view these frames stereoscopically, you may see at least a suggestion of the self-intersections that occur at bending angles different from those for D, G, and P.
Eventually the gyroid was rigorously proved to be free of self-intersections by Karsten Grosse-Brauckmann and Meinhard Wohlgemuth, in their article, 'The gyroid is embedded and has constant mean curvature companions', Calc.
Partial Differential Equations 4no. The Wikipedia entry for the gyroid mentions some of its currently recognized 'applications'. One of the first published examples of such an application describes how the gyroid serves as a template for self-assembled periodic surfaces separating two interpenetrating regions of matter.
Additional examples of applications continue to be reported, and in the future I expect to add links here to some of them. Eversion of the Laves graph The Laves graph is triply-periodic on a bcc lattice and chiral.
It is of interest for a variety of reasons, not least because a left- and right-handed pair of these graphs an enantiomorphic pair are the skeletal graphs of the two intertwined labyrinths of the gyroida triply-periodic minimal surface or TPMS cf.
Because the Laves graph is one of the rare examples of a triply-periodic.If you’re applying for a scholarship, chances are you are going to need to write an essay. Very few scholarship programs are based solely on an application form or transcript.
The Truth of El Mozote View other pieces in "The New Yorker" By Mark Danner December 06, Tags: Central America | Latin America | El Salvador H EADING up into the mountains of Morazán, in the bright, clear air near the Honduran border, you cross the Torola River, the wooden slats of the one-lane bridge clattering beneath your wheels, and enter what was the fiercest of El Salvador's zonas.
3. Reheat in the microwave or stovetop. When it's time to reheat your pasta in the microwave, lay it out flat in your container. It doesn't matter if the container is round or square, but as long at the pasta sits flat, the microwave will be able to get all the pieces at the same time and warm them up evenly.
You have reached a web page that was created by Professor Frank Pajares. Portions of his web site have been archived and others have been moved to homes not affiliated with Emory University. In particular, Cal-SOAP is committed to providing services to students from any of the following backgrounds: Low income families Families in .
The Sinking of the Titanic: Who Was at Fault - April 14th, , will go down in history as a day when disaster struck. It was the day the RMS Titanic hit an iceberg that after a mere four hours, caused it to sink to the bottom of the ocean, taking 1, people with it.