Article No : gjaap-v1-1001
AV Yurkin

Abstract

The regular octahedron [1] refers to the number of five Platonic figures. It can be composed of eight equal equilateral triangles or twelve identical segments. "The octahedron is dual to the cube" [2]. The regular octahedron can also be composed of many identical small cubes just as in Ancient Egypt were pyramids of stone blocks. The construction of an octahedron using small cubes can be obtained by considering a random walk in three-dimensional (3D) space. In [3] we considered a visual model of a 3D random linear and nonlinear walk in an octahedron. In [3,4] we reviewed and systematized the visual models of 1D, 2D and 3D random linear and nonlinear walks too.

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