There is another, and rather serious concern. Unfortunately, the “architecture as art” movement removes most if not all of the mathematical understanding of form that generations of older architects relied upon. It denies analytical tools for understanding the world. It also condemns creative architects to the same insecurity that abstract visual artists suffer from. We are convinced that architects and students, unequipped as they are to understand the geometrical structure of forms, eventually develop a basic insecurity about their profession. Intuition alone can only go so far, and it can certainly lead to dead ends and frustration. If architects are unable to comprehend and interpret the geometry of what they are constantly creating, how can they maintain a stable worldview? Our ability to understand the world around us contributes to our mental health and psychological wellbeing. Such a cognitive detachment is very unhealthy, if not dangerous, in the design of architecture, which is (or should be) a practice grounded in both materiality and the science of human perception. This insecurity is also at the root of the variety of problems we address later in this chapter, since all of them arise from the lack of a secure connection to reality.

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