Formulas are defined for calculating the sum of a series of numbers — the so—called constant - that make up a square and a cube of a certain order. The central symmetry of magic squares from the 2nd to the 8th order, as well as magic cubes from the 3rd to the 5th order, is analyzed. It is revealed that the magic squares of the 2nd, 3rd, 4th, 5th, 7th, and 8th order have a "homogeneous" central symmetry (relative to the diagonals), and the magic square of the 6th order has a "mixed" central symmetry. The character of symmetry is determined in the same way for magic cubes of the 3rd, 4th, and 5th orders. "Homogeneous" symmetry is characteristic of the magic cube of the 3rd order and the 5th order, and "heterogeneous" - for the magic cube of the 4th order. Based on the logic of constructing magic squares and cubes, two similar magical objects are constructed — a cube in a cube and cubes in a cube. The first one is based on a magic square of the 4th order (Albrecht Dürer, 1514), and the second one is based on a magic square of the 8th order. These magical figures have a "mixed" symmetry.