3D Fractals, Axiom of Algebra (Δ_n)ⁿ = +1  

作　　者：Emmanuel Cadier Anaxhaoza Emmanuel Cadier Anaxhaoza(Shiva’s Technologies Institute, Paris, France)

机构地区：[1]Shiva’s Technologies Institute, Paris, France

出　　处：《Advances in Pure Mathematics》2023年第7期473-481,共9页理论数学进展（英文）

摘　　要：After having laid down the Axiom of Algebra, bringing the creation of the square root of -1 by Euler to the entire circle and thus authorizing a simple notation of the nth roots of unity, the author uses it to organize homogeneous divisions of the limited development of the exponential function, that is opening the way to the use of a whole bunch of new primary functions in Differential Calculus. He then shows how new supercomplex products in dimension 3 make it possible to calculate fractals whose connexity depends on the product considered. We recall the geometry of convex polygons and regular polygons.After having laid down the Axiom of Algebra, bringing the creation of the square root of -1 by Euler to the entire circle and thus authorizing a simple notation of the nth roots of unity, the author uses it to organize homogeneous divisions of the limited development of the exponential function, that is opening the way to the use of a whole bunch of new primary functions in Differential Calculus. He then shows how new supercomplex products in dimension 3 make it possible to calculate fractals whose connexity depends on the product considered. We recall the geometry of convex polygons and regular polygons.

关 键 词：PSYCHEDELIC Axiom of Algebra (AA) Generalization of the Sign Quantum Physics Self-Derivative Exponential Cosinus SINUS Stable Groups for Derivation Operation Differential Calculation Theory Supercomplex Products Regular Polygons 3D Fractals Mathematical Imagery Geometry of Regular Polygons 

分 类 号：O17[理学—数学]