It is important to find a most effective way to cut various shape products from a steel plate, a sheet of paper, a piece of cloth and so on. For this purpose, several cutting machine companies have already developed their own auto-nesting programs. But their computer programs are seemed to be not full-automatic and need long computational time occasionally. In this paper, concepts for a nesting method is discussed from a mathematical point of view. And finally a simple nesting method is proposed.

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The scenery of a town affects us in a number of different ways which are not limited to our personal predilections; whthin a townscape, depending on whether a stationary object of our focus remains still or moves in relation to our movement, differences will arise even within our own subjective perception.
This paper pursues the study of cognitive structures in sequential townscapes that ran parallel to an urban stream by using videos.
Unfortunately, most of the available CG simulations on street environment aesthetics are overdrawn to detail. Thus, we have unnatural impressions of those computer graphics. These can not be called realistic simulations. Reality is based on subject's experience. Especially, when considering cases of cognition of sequential townscapes, the fact that those stationary objects appear to be moving in relation to us is a key point. When this movement is unusual compared to the experiences of the subject, he/she focuses on the cause of visual stimulus within the texture of the townscape. Usually, a subject evaluates townscape aesthetics on the basis of his/her impressions of Environmental Vision Factors (i.e. texture, skyline, quantity of green and so on) . When we make simulations as long as we catch the peculiar, we should omit unimportant detail of townscapes.

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