Thursday, March 30, 2017

Wednesday, March 29, 2017

Talk on the connection between bead models and chemical bonding

The three figures at the bottom are taken from the works of Su and Prof. W. Goddard III at Caltech. These figures show electron density profiles based on the so-called electron Force Field, which is essentially a simplified floating spherical Gaussian orbital method with an empirically fitted Pauli potential that takes care of the antisymmetric property of electrons.

Wednesday, December 28, 2016

Modified Goldberg Polyhedra

A recent paper entitled "Self-assembly of tetravalent Goldberg polyhedra from 144 small components" (http://www.nature.com/nature/journal/v540/n7634/fig_tab/nature20771_F3.html) (published in Nature by Makoto Fujita et al.) described a kind of self-assembled molecular structures based on the so-called tetrabalent Goldberg polyhedra consisting of square lattice decorated with eight triangles.

Incidentally, Chern Chuang also constructed many bead models of this type while he was still a student at NTU. Every polyhedron of this kind possesses a unique Goldberg vector.

Previous post: Chiral cube - the generalized Goldberg polyhedra , in this post, a model of (3,1) Goldberg polyhedron is made.

Thursday, November 10, 2016

Update: Equation of States for US Presidential Elections

I modified the figure a little bit to show the two forbidden regions in the 2nd and 4th quadrants, which are violated twice in the past US presidential elections now.

Wednesday, November 9, 2016

Update: Equation of States for US Presidential Elections

Updated with the newest data, Clinton 59,835,153 votes (228), Trump: 59,618,815 votes (279), from USA today. Like the 2000 election, the result this time fell again in the forbidden regions, the 2nd and 4th quadrants. The people of US should consider a new electoral system.
Previous post 4 years ago.