Hope Comes from Vietnam & Singapore (VIMC 2025): New Methods for Constructing Magic Squares of Orders n=4k+2 and Project for the Classification of All Magic Squares of Even Orders

 Since August 2025 I haven't posted any news on this blog. There were many reasons:

1) I became very disgusted with current politicians and those from the not-too-distant past;

2) My co-author and son, Lohans de Oliveira Miranda, fell ill and I had to stop everything;

3) In recent months we have been working on the following article:

Available at https://lossian.substack.com/p/new-methods-for-constructing-magic

New Methods for Constructing Magic Squares of Orders n=4k+2 and Project for the Classification of All Magic Squares of Even Orders

Lohans de Oliveira Miranda 1 , Lossian Barbosa Bacelar Miranda 2

1 State Secretariat of Education of Piauí – SEDUC, Piauí, Brazil; 2 IFPI, Teresina, Piauí, Brazil, lossianm@gmail.com

Abstract: We have established a new method for constructing magic squares of all orders of tthe type n=8k-2 and we also present analytical and algebraic algorithms for constructing a large number of magic squares for all remaining even orders. The abundance of magic squares constructed by the algorithms led us to establish a project for the construction of all magic squares of all even orders. We have established a mathematical theory of the joint magicization of the diagonals of semimagic squares of even orders.

Available at https://lossian.substack.com/p/new-methods-for-constructing-magic

These studies clearly aim to find all magic squares of even orders. In this discussion, we open a space of freedom and peace for this purpose.

The article above (in which we find, for example, for the order n=18, more than 10^200 different magic squares) has been placed on Lossian.substack.com, as it is an article from which all magic squares of even orders can be found, provided they are not chaotic, as some believe. It is an article that we consider very relevant to current mathematics, and good news for humanity, which is in danger of ending this week. I hope that students and teachers in Vietnam, China, Singapore, and all Asian countries where magic squares are traditional will complete our work as quickly as possible, which is the oldest open problem in mathematics and the dream of Nagarjuna, Yang Hui, and Lo Shu.

Esperança Vem de Vietnã & Singapura (VIMC 2025): "New Methods for Constructing Magic Squares of Orders n=4k+2 and Project for the Classification of All Magic Squares of Even Orders"

Desde agosto de 2025 eu não postei nenhuma notícia neste blog. Muitos foram os motivos: 

1) fiquei com muito nojo dos políticos atuais e de passado não muito distante;

2) meu coautor e filho Lohans de Oliveira Miranda adoeceu e tive que parar tudo;

3) nos últimos meses estivemos trabalhando, fazendo o artigo a seguir:

Available at https://lossian.substack.com/p/new-methods-for-constructing-magic

New Methods for Constructing Magic Squares of Orders n=4k+2 and Project for the Classification of All Magic Squares of Even Orders

Lohans de Oliveira Miranda 1 , Lossian Barbosa Bacelar Miranda 2

1 State Secretariat of Education of Piauí – SEDUC, Piauí, Brasil; 2 IFPI, Teresina, Piauí, Brasil, lossianm@gmail.com

Abstract: We have established a new method for constructing magic squares of all orders of tthe type n=8k-2 and we also present analytical and algebraic algorithms for constructing a large number of magic squares for all remaining even orders. The abundance of magic squares constructed by the algorithms led us to establish a project for the construction of all magic squares of all even orders. We have established a mathematical theory of the joint magicization of the diagonals of semimagic squares of even orders.

Available at https://lossian.substack.com/p/new-methods-for-constructing-magic

These studies clearly aim to find all magic squares of even orders. In this discussion, we open a space of freedom and peace for this purpose. 

O artigo acima (nele achamos, por exemplo, para a ordem n=18, mais de 10^200 quadrados mágicos diferentes), nós colocamos em Lossian.substack.com, pois é um artigo a partir do qual poderão ser achados todos os quadrados mágicos de ordens pares, caso eles não sejam caóticos, como alguns pensam. É um artigo que julgamos muito relevante para a Matemática atual, e uma boa nova para a Humanidade, em perigo de se acabar nesta semana. Espero que os alunos e professores do Vietnã, da China, de Singapura e de todos os países asiáticos onde os quadrados mágicos são tradicionais, concluam o mais rápido possível a nossa obra, a qual é o mais antigo problema aberto da Matemática e o sonho de Nagarjuna,Yang Hui e Lo Shu.