THE MATHEMATICAL VILLA SAVOYS

Villa Savoye has been a favorite in these pages. We now go farther afield with these Mathematical Villa Savoys. In essence, we take visualized mathematical systems, apply the rules to the building, and see what happens.

Irregular Tesselation

Irregular tesselation is when there are repeating shapes, but not all of the voids between the shapes are filled. Most tesselations use shapes, but there are form tesselations. The blue and pink forms are more or less repeating, and they undulate to pick up features of the building. Each time there is a column, I started either of the two tesselated forms. Look like Villa Savoye?

B-Spline Function

I don’t understand B-Spline mathematical properties at all. But I was attracted to this graphic. I like the two ways that points were connected. Black and pink lines in my drawing work to satisfy the requirements of the building, in a B-Spline manner.

Torus

Technically, a torus is a mathematical operation where a circle is rotated thru 360 degrees, and the axis of the rotation is coplanar with the circle. I just like the graphic concept. When you think about it, Villa Savoye really is a type of torus. Ok, it is square rather than circular, but does that really matter?

I have so many more Villa Savoyes in many different guises that I will probably end up sharing sometime. Currently, these are the Transparent Drawing Villa Savoyes:
–Woven
–Choisey One Point
–Form Analysis
–Use Combination