The Löwenmensch (lion-man) figurine, discovered in the Hohlenstein-Stadel cave in Germany, stands as one of the oldest and most enigmatic examples of figurative art, dating back approximately 40,000 years to the Upper Palaeolithic period. Carved from mammoth ivory, this zoo-anthropomorphic sculpture presents a unique challenge for archaeological interpretation, particularly regarding the intentionality behind its complex form and proportions. Traditional qualitative analyses have provided rich insights into its symbolic significance, but a detailed understanding of its geometric construction and the artisan's choices remains elusive. This paper introduces a novel application of computational morphometry to the Löwenmensch, utilizing high-resolution 3D digital models to conduct a rigorous quantitative analysis of its geometric form. Our methodology involves landmark-based geometric morphometrics, surface curvature analysis, and statistical evaluation of symmetry and proportionality. By quantifying specific dimensions, angles, and surface features, we aim to unveil the underlying geometric principles that governed its creation. Preliminary findings suggest a deliberate interplay of feline and human anatomical elements, executed with a sophisticated understanding of form and balance. This computational approach not only provides new insights into the craftsmanship and potential cognitive abilities of Upper Palaeolithic artists but also offers a robust framework for comparative studies of prehistoric art, moving beyond subjective interpretations to a data-driven understanding of ancient aesthetic and symbolic expression.