Checking on the Simulation of the Plane Enveloping Toroidal Worm
The three-dimensional figure of a toroidal worm is obtained according the simulation based on the mathematical model. The key of this is the authenticity of the worm surface expressed. Comparing a simulating worm with the true worm, the conformational degree between them can be found out. As the worm surfaces are complex space surfaces, so it is difficult to determine the measuring method and reference for the surfaces of a worm. According to the entire analysis's, the symmetry section of the worm is defined as a representing section. The space surface measuring is converted to a plane curve measuring, and the possibly existing error will be analyzed. The experiments for checking two true worms are made to prove the truthfulness and reliability of the simulation program of the plane enveloping toroidal worm.
Dongming Guo, Jun Wang, Zhenyuan Jia, Renke Kang, Hang Gao, and Xuyue Wang
Q. M. Wen et al., "Checking on the Simulation of the Plane Enveloping Toroidal Worm", Materials Science Forum, Vols. 626-627, pp. 681-686, 2009