Abstract: Objectives: To address the inflexibility and inadequacies of existing visualization tools for full-tensor gravity gradient (FTG) forward modeling, and to achieve accurate identification, classification, and interpretation of gravity gradients,a method for forward modeling FTG and constructing a visualization system based on Mathematica is proposed. Methods: The Mathematica algebraic system is utilized to derive the forward formula of the gradient for rectangular prisms and complete the forward calculation of the gradient tensor. At the same time, the forward calculation of the gradient tensor is carried out for a complex density body composed of multiple prism units. Finally, with the rich visual output and display capabilities of Mathematica, a visualization system is established for the gravity gradient calculation of typical geological models such as prisms, spheres, and inclined steps. Results: The constructed visualization system can simulate the gravity gradient response results of density bodies under different physical property parameters and provide real-time dynamic visualization display, effectively presenting the characteristics and distribution laws of the gravity gradient of the field source. Conclusions: The full tensor gravity gradient visualization system constructed based on Mathematica will provide a new means of interpretation for gravity gradient exploration data interpretation, and provide a basic platform for research workers to engage in research, scientific and technological thesis writing, and subject reporting.