Introduction.

In hematology, the study of erythrocyte morphology alterations contributes to the diagnosis of normality or abnormality of these structures. However, the qualitative nature of the diagnostic criteria makes their interpretation and scope difficult.

Objective.

Characterize the nucleated erythrocytes of red tilapia (Oreochromis spp) in the context of fractal and Euclidean geometry.

Methodology.

Fifty nucleated erythrocytes were taken from twenty red tilapia blood smears. Subsequently, all the contours of the nucleus and the cytoplasm of the erythrocytes were delineated to superimpose two grids, one twice the size of the other, to calculate the fractal dimension of each delineated erythrocyte using the Box Counting method. Additionally, the surface of these two parts of the erythrocyte was calculated.

Results:

This study revealed that the fractal dimension values do not allow comparisons between nucleated erythrocytes. The superposition of 5x5 and 10x10 pixel grids allowed us to observe that the occupancy values of the cytoplasm and the nucleus allow comparisons between the nucleated erythrocytes, together with the values of the surface of these two parts of the nucleated erythrocyte.

Conclusion:

Red tilapia nucleated erythrocytes can be characterized by measuring the values of the spaces occupied by their cytoplasm and nucleus, together with the values of the surface of each of these two parts of the erythrocyte.