Saturday, November 28, 2009

另一本有趣的書

弹性细杆的非线性力学: DNA力学模型的理论基础
作者:刘延柱



我查過,台大對面的高教書局還沒進口。


Beaded Model for Supercoiled Helix

Here is the picture what Chuang is talking about in the previous msg. It seems to me the beaded model in the picture is made from thin metal wire. This model is not like a DNA structure, instead more similar to the supercoiled railway with distortion energy mainly in its writhing degree of freedom.


Beaded Model for Supercoiled Helix

I spent a while searching for Dr. Ou-Yang's publications and have found a dictionary of bio-engineering with an interesting front cover:

http://books.google.com/books?id=2fOFfJNbcMcC&printsec=frontcover&dq=%E6%AD%90%E9%99%BD%E5%AE%97%E7%87%A6&hl=zh-TW&source=gbs_similarbooks_s&cad=1#v=onepage&q=&f=false

The picture is quite clear that this model is indeed made by the RAW technique that we're familiar with.

Tuesday, November 24, 2009

Trefoil Knot



It is interesting to make a comparison between the beaded trefoil knot and the famous wooden trefoil knot of M. C. Escher.

Monday, November 23, 2009

Beaded Trefoil Knot

I took many pictures for this elusive structure. Here are two of them.


More photos of Beaded Trefoil Knot

Here are several photos I took when I was working on the beaded trefoil knot last weekend. It is now obvious to me why we should take such a weaving path for making beading trefoil knot. I have mentioned several difficulties before. Originally, I thought that these difficulties cannot be overcome without using several different sizes of beads. But beading can be very flexiable since we don't need to make them very tight. If we allow the structure be loose, then anything kind of graphs can be weaved in principle. Of course, the resulting structures may not be rigid or similar to what we would like to have for a fullerene.


In the following photos, one can see the intermediate structures before I started to weave the final strip of polyacene is quite flexible. This gives some rooms for us to adjust the structure, so the unavoidable deformation can be redistributed more evenly on the whole structure.

Of course, it is very important to make the first loop connected correctly. :-)