Conformationally Programmable Molecules
Programming a molecule, in this case a chain of carbon and nitrogen atoms as is found in proteins, by specifying rotational behaviour of individual covalent bonds as a function of time. The key is to have the first bond fixed and stationary then consider the many possibilities for specifying all the other bonds. In real life the angles between succesive bonds is not uniform or even stable but in mathematics it is standard practice to start with the simple case and work up to the more complex cases, so for now we will look at uniform angles (109.5 degrees) and bond lengths.
Geometric Properties of Freely Rotating Carbon Chains Fixed at One End
The geometric properties of the free end of a programmed carbon chain have some remarkable properties suggesting a built in code for life as we know it. Here is a recent example of the output of one such molecular program...