Generalized constant ratio surfaces and quaternions


  • Selahattin Aslan
  • Yusuf Yayl?


Generalized constant ratio surfaces, kinematic, rotation matrices, real quaternions, unit quaternions.


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.


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