Dimensión fractal de patrones geométricos obtenidos por una matriz sobrepuesta en puntos de acupuntura y no acupuntos en el abdomen: base matemática de la acupuntura geométrica y fractal

Abstract

The channels and collaterals as well as the acupuncture points constitute fundamental theoretical bases of Traditional Chinese Medicine. Their study has attracted the attention of different disciplines as biosciences and mathematics. The present investigation aimed to generate a matrix of squares with proportions of 1 × 1 cun to superimpose it on the anterior region of the abdomen, and to determine the relationship between the nodes of the matrix with the acupuncture points. Likewise, generated different geometric figures from acupuncture points and non-acupoints that coincide with the nodes of the matrix to determine their fractal dimension. The results showed that it is feasible to use matrices with certain proportions that, when superimposed on the anterior region of the body, allow obtaining geometric figures formed by acupuncture points and not acupoints. The analysis of the fractal dimension shows interconnection between the points and they form groups with 97% precision. The prefactor “a” showed fractality in some geometric patterns while in others it was absent. It is necessary for additional studies to corroborate the fractality in the geometric patterns generated by the matrix.