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The Geometry of the Last Supper

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The Triangle #4

From the Geometry of the Last Supper by Raphaël Mouterde. It shows the triangle on the grid and the arc created by the rotation of the triangle's base. The arc intersects the grid and gives the height of the windows and the cornice. It is also tangent to the pediment.

We began this mini-series by looking at the rotation of the triangle’s base and discovered – through a single geometric gesture – that there may be hidden depth within the composition of The Last Supper.

Our attention now turns to the rotation of the triangle’s sides.

📐 Once again, let’s take our imaginary drawing compass. Placing the tip on N, we rotate the top of the triangle to the right.

Starting from A, we trace an arc that intersects the grid exactly at the height of the window!

Those who have followed this mini-series from the beginning might think: «But we’ve already defined the height of the window in a previous post!» And they would be absolutely right. Remarkably, both rotations – of the triangle’s side and of its base – meet the grid at precisely the same point.

This means the height of the door and windows are defined twice, leaving little doubt that geometry played a deliberate role in establishing the dimensions of these openings.

🤓 Nerd’s corner: the scientifically inclined among us will easily figure out the height of the openings.


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