A Method for Designing Complicated Emotional Three-Dimensional Geometrical Shapes Through Mathematical Extrapolation

  • Kaori YamadaEmail author
  • Shinjiro Ito
  • Toshiharu Taura


This article focuses on the role of technology for creative thinking in design. It can be stated that the human thinking space may be expanded by the help of technology. Humans can thus create ideas that they did not previously have, thereby improving their ability of imagination. We aim to create three-dimensional geometrical shapes using a computer. These shapes are so complicated that they cannot be easily visualized in the human mind but are still deemed interesting. Our research tries to develop a method for designing three-dimensional geometrical shapes whose parameters, recorded in a computer, are mathematically extrapolated to create more complicated shapes. In an experiment, subjects were asked to generate new shapes in accordance with this method. The results indicate that new geometrical shapes created by mathematical extrapolation, which cannot be visualized by the human mind alone, are considered by the subjects as interesting as those created by themselves.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.KobeJapan

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