We were offered some 6000 neckties a while ago!

We accepted!

But then we began to ask ourselves the “What to do now?” question. An idea began to take shape: a plane can be tessellated by 2D shapes like squares without gaps or open spaces. The sum of the angles at a point has to add up to exactly 360 deg. If the sum is less than that the resulting shape will be spherical, and if it is more than 360 deg it will be hyperbolic, or saddle shaped. I made a paper model with seven hexagons around a heptagon (7-sided). The vertex angle in a hexagon is 120 deg, and in a heptagon is 128.57 deg. The sum is 368.57 deg. Therefore the resulting surface is of hyperbolic nature, the quilt constructed like this is not flat!

Long story short, I am still working on this.