This text presents a critical analysis of geometric and, more broadly, mathematical thought models and objects. The author identifies several key characteristics that distinguish these entities from real-world beings. Primarily, it is emphasized that these models lack an internal dimension and exist solely as conceptualized external forms without a true interior. Their integrity is not the result of internal unification but is maintained by the external intervention of the thinking subject who constructs and organizes them. Geometric shapes lack a natural environment or surroundings and enter into relationships with other objects only through the activity of an external builder. The text further highlights their inability to self-reproduce; they can only be artificially multiplied from the outside. A fundamental feature is also their imperceptibility to the senses. Overall, the geometric model is viewed as a passive construct lacking autonomy and internal dynamics, which raises questions about its ontological status in relation to lived reality and complex systems that exhibit internal integration and natural ties to their environment.