Presented at SIBGRAPI, this video introduces T2Viewer: a 3D visualization system for the oriented projective plane, allowing user interaction with geometrical algorithms through real-time graphic manipulation. T2 is an extension of the Euclidean plane, enabling algebraic representation of points at infinity and beyond. This software presents two visualization models with such properties. Steps of geometrical algorithms can be animated, improving understanding, facilitating debug and inspiring the creation of new algorithms. Developed in C++, OpenGL and Qt, using CGAL library.