After a digital modelling method has been introduced into architectural design in 1990s, a radical change was taken place in generating architectural form and space. Many architects have a view that digital modelling method is the most Important invention in the visual presentation since the moment that architect Philippo Brunelleschi experimented initially the linear perspective. Therefore, in this study, comparing between perspectiva artificialis and digital modelling method, we clarify 1) the relationship of architectural design and presentation method, 2) the practical and philosophical background inherent in digital modelling method which played key role in developing non-representational architecture, 3) and the principles of non-representational architecture like diagram, folding, and trace.