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The Geometry of the Last Supper

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Breaking the Law #2

From The Geometry of the Last Supper by Raphaël Mouterde. This a portion of the painting showing the left window, with an overlay of the perspective and the vanishing point. It shows how the corner of the window doesn't follow the perspective line and is in desobediance with the laws of perspective.

Leonardo takes such liberty with the perspective of the windows that we might question whether he resorted to some other logic significant enough to justify this emancipation from a strict obedience to the theory.

The hypothesis of a hidden purpose driving the composition of the three apertures (the door and the two windows) gains momentum as we observe that the proportions of the windows are in fact directly related to the proportions of the door. When we place the two windows side by side, we find that they fit perfectly into the doorframe!

From The Geometry of the Last Supper by Raphaël Mouterde. This is the central portion of the Last Supper showing the windows and the door. The width of the door is equal to the width of the left window plus that of the right window.

A symbolic approach could well explain this remarkable choice. If we were to associate the apertures with the Holy Trinity, the door would then typically be the symbol of the Father, and the two windows would represent the Son and the Holy Spirit. St John the Evangelist writes in his gospel that Jesus was sent by the Father to accomplish his work, and that the Spirit proceeds from the Father. In The Last Supper, the central aperture, associated with the Father, ‘gives birth’ in a geometrical sense to the other two apertures related symbolically to the Son and the Holy Spirit. The windows naturally share the same formal identity as the door, which an obedience to the laws of perspective would have made impossible.


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