# Fermat’s theorem

We will consider the Universe as a sphere, the center of which coincides with the center of the space surrounding us, and which is conveniently represented as a unit ball of radius R = 1. We assume that the maximum possible volume of the considered unit ball, attainable at R = 1, is equal to this sphere. In what follows, the volumetric scale will be referred to simply as the scale. For a unit ball, as well as for the current size, the scale is not a unit ball. In the rest of the current scale, it has no restrictions on its size. The same can be said for the maximum possible at the current scale of a certain unit cube previously inscribed in a unit ball and dissected with it, equal to the size of a cube.

At the current scale, one should keep in mind one fraction of the unit of a unit cube, which is received by the corresponding number of cuts for a given number of fractions of the plane coordinate system x, y, z.

The number of shares associated with the required share queues when performing numerical operations with them. The interval of their application is from an unlimited number to the last and determined by the scale of the incisions made.

This scale changes from the minimum allowable values ​​in the direction of the distance R = 0.5.

The number of incisions is determined by the problem to be solved.

First of all, the cuts are divided (form) into digits depending on the number system being introduced. In decimal notation, the first digit is an interval of digits from 0 to 9, inclusive. One of these digits, the first from the right (counting from right to left), as a whole, forms the first digit. This figure can be calculated using the formula

in a way, to the corresponding set of cubes or shares, equal to it.

We assume that the current scale of a unit value is equal to the number of fractions obtained from its dissection x, y, z sections Let us inscribe a unit cube in the ball The numerical radius R = 1 of the ball displays the maximum number of fractions of a unit cube inscribed in this fwap x, y, zx, y , zx, y, z

ball and dissected with it. About

The volume of which is the maximum possible volume to which the infinite ball tends. A unit ball can only have a unit surface and only a unit volume.

Naturally, the sphere considered here and its surface are represented in the corresponding volume, surface and linear scales.

In addition, it is necessary to enlarge the second space by using another space. In this case, we will be dealing with a different universe.