Published August 24, 2026 | Version v1

Mirror Numbers: Normal, Square and Cubic Sums

  • 1. Formerly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil

Description

This work brings numbers in two situations one normal sums and second equality in square sums. This for the numbers known as mirror numbers. The numbers such as (12, 21), (123, 321), etc are pair of mirror numbers. These are extended to 2-digits, 3-digits, 4-digits sums. The equality expressions of the type: 14^2+87^2 = 41^2+78^2 := 7765,   135^2+765^2 = 531^2+567^2 := 603450, etc are famous as square sum mirror numbers equalities. Some examples of cubic sums are also give given, such as 36^3+48^3 = 157248 <=> 63^3+84^3 = 842751. The extention to patterned mirror numbers shall be given in another work. The extension of this towards, selfie-numbers and magic squares see the author's work in the reference list.

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