The new art must be based upon science — in particular, upon mathematics, as the most exact, logical, and graphically constructive of the sciences. - Albrecht Dürer

Since geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art.

Sane judgment abhors nothing so much as a picture perpetrated with no technical knowledge, although with plenty of care and diligence. Now the sole reason why painters of this sort are not aware of their own error is that they have not learnt Geometry, without which no one can either be or become an absolute artist; but the blame for this should be laid upon their masters, who are themselves ignorant of this art.

There is no man on earth who can give a final judgment on what the most beautiful shape may be. Only God knows.