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.

Thursday, March 17, 2016

Zeolite PKU-12

I made a bead model for the zeolite PKU-12 and gave it to the chemistry college of Peking University as a souvenir when I was invited to Beijing last November.