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.
Chiral cube - the generalized Goldberg polyhedra , in this post, a model of (3,1) Goldberg polyhedron is made.
Wednesday, December 28, 2016
Thursday, November 10, 2016
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
Previous post 4 years ago.
Wednesday, June 29, 2016
Thursday, March 17, 2016
Wednesday, March 16, 2016
Tuesday, March 15, 2016
數學串珠-繽紛多彩的奈米結構與幾何 (Mathematical Beading – Kaleidoscopic structures and geometries in the nano world)
Chiachin and I wrote a paper entitled "數學串珠-繽紛多彩的奈米結構與幾何" (Mathematical Beading – Kaleidoscopic structures and geometries in the nano world) for the special issue on the connection between math and art in Science Study (科學研習), a local science magazine in Taiwan. Here is the first page. here.