The author is discussing the presentation of “Quaternions and Octaves” theme in the course of Discrete Mathematics and substantiates the importance of these concepts for the modern worldview. Brief description of the history of quaternions and octaves’ discovery, along with consideration of the definition and properties of quaternions, octaves and related concepts, enables the author to discuss the space turning machinery using quaternions. The
author verifi es a formula for octaves (factum modulus is equal to moduli factum) and summarizes the theorems that stress the quaternions and octaves uniqueness in the class of all algebras over a field of real numbers.
Keywords: quaternions; octaves; discrete mathematics.
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