Application of Kinetic Models to Artistic Paintings

Prior to modeling of chemical reactions in the next sections, it is interesting to demonstrate how simple kinetic models can also be jqjplied to artistic paintings. 

The first example applies to Fig.2-52. The painting in the figure. Development II by Escher [10, p.276], demonstrates the development of reptiles, and at first glance it seems that their number is increasing along the tadius. 

This result indicates the absence of a chemical reaction. Although the reptiles become fatter versus the number of steps (time), their number is imchanged. 

It should be noted that in case 1 of Hg.3-lb, the lines for n = 0 and 11 correspond to twelve butterflies and a single fly, respectively, in Rg.3-la. In case 2 these lines correspond to twenty five and three winged creatures , respectively, whereas in case 3 the lines correspond to forty eight and eight winged creatures , respectively. 

In order to fit the concentration data Ci (number of winged creatures along 

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Fitting the data in Table 3-2 by Eq.(3-49) for At = 1, which was modified to the following equation [Ci(n) - Ci(n+l)] - kC (n), yields m = 0.904 and k = 0.896 with a mean deviation of 8.3% between calculated data with respect to counted values in Fig.3-2. The above examples indicate that the application of kinetic models to artistic paintings has been successful. 

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