Neotrie VR enables users to create, manipulate, and interact with 3D geometrical objects and 3D models in general, of several types. The Neotrie software has implemented tools that allow the following topics to be addressed: 2D geometry, seen from space: polygons, relative position of lines, measurement of lengths and angles, areas, etc. 3D geometry: creation and modification of figures in general, study of their projections, with projection planes, scanner…. Construction of polyhedrons: Platonic solids, prisms, antiprisms, pyramids, Archimedean solids, Johnson solids, Kepler solids, etc.). Basic operations with polyhedra: duality, truncation, rectification, extension, etc. Calculation of angles, lengths, areas and volumes of 3D figures, Euler characteristic, and other topological notions. Round bodies (sphere, cone, cylinder, torus, etc.), with movements in space, generated as bodies of revolution, ruled surfaces, etc. Parameterization of curves and surfaces, with 3D graphic calculator, interpolation between surfaces, contour lines. Symmetries of figures in space (translations, reflections, rotations) and homotheties. Two- and three-dimensional fractal geometry. Crystal structures, cell construction, study of point symmetries. 3D Eulerian Graphs (Königsberg 7 bridges problem). Hamiltonian Graphs (Salesman Problem). Graph coloring (4 color theorem). Various dynamic constructions.