Kuwait Journal of Science (Jan 2017)

Generalized constant ratio surfaces and quaternions

  • Selahattin Aslan,
  • Yusuf Yayl?

Journal volume & issue
Vol. 44, no. 1

Abstract

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In this study, we show that the generalized constant ratio surfaces can be obtained by the quaternion product of a unitquaternion and a pure quaternion. Also, the quaternion product of the unit quaternion and the position vector of the generalized constant ratio surface as a pure quaternion is a generalized constant ratio surface. Then we give some results about the generalized constant ratio surfaces by using the quaternions.

Keywords