This project will only be funded if it reaches its goal by Sun, June 9 2019 4:04 PM UTC +00:00.
Mankind has always been fascinated with the unknown. This has driven us to better understand our surroundings: we've gone from gazing into outer space to actually being there, from mathematical ideas on paper to their physical expression in solid metal. Here we gather the wisdom of many generations into one perfect piece... THE ULTIMATE SOLID OF CONSTANT WIDTH
We've seen our favourite characters wear a token wherever they go, a lucky dice or their dad's clock; an object that gives them strength when they are down, reflections where they get lost in their moments of contemplation, a solid surface that helps them concentrate and create the greatest plans. Besides being a geometric wonder, The Ultimate Solid of Constant Width is that perfect and intriguing totem.
The most sophisticated and complex version of a Solid of Constant Width.
There are few surfaces that keep their width while rotating in any axis; we're used to seeing this characteristic in spheres that roll without changing this dimension but as amazing as it may sound, there are other shapes with the same property that isn't circular, such as The Solid of Constant Width.
This paradoxical solid stems from studies made from the 18th century to our days.
It has its origins in the work of Leonhard Euler who discovered that the Reuleaux triangle, that had been used in English Gothic Churches since late 13th century, had a persistent width regardless of its orientation, hence if the figure was cut by half and revolved by its middle axis, the resultant would be a three-dimensional shape with the same property but without tetrahedral symmetry.
Exploring this figure, it was discovered that the intersection of four spheres with the same radius, centred at the vertices of a regular tetrahedron with the same side length, created a volumetric version of a Reuleaux Triangle, except it didn't have the constant width, because the distance between the midpoints of two edges was greater than the other lengths.
Years later, the German Ernst Meissner realized that this Reuleaux Tetrahedron could be a solid of constant width if only three of its edge arcs were replaced by patches formed with the rotation of a circular arc. This way, the Meissner body was discovered, a rare shape with constant width but asymmetrical edges.
Being so close to geometric perfection made other people, like Dan Bergerud, work hard until he found a solution to discover a solid of constant width with true symmetry; he replaced the edges for an envelope of spheres. This bodies are tangent to the edges of the tetrahedron and can be visualized as a sphere in the middle axis of the envelope moving in the x-direction as it decreases its radius to each size. A greater explanation of all this is made by Patrick Roberts can be found here.
A production as intriguing as the object itself
Because of its rare shape, producing these pieces isn't as simple as machine them with a lathe. That's why we've spent years developing the best way to manufacture them.
It all starts with a solid block of metal that is carved with a high precision CNC milling machine. As the program runs the shape peeks out of the block as if it was a prehistoric object that has just been discovered.
Later, each piece is hand-finished with the precision and attention that it requires; having the touch that turns a mass produced piece into a luxury object.
Finding the right manufacturing partner was one of our greatest priorities, and we approached the search with the same attention to detail and high quality standards as the products we make. We partnered with a CNC manufacturer who has vast experience in high volume productions, and yet treats each piece with the same care a craftsman would.
We’ve already run a pilot batch and we are ready to go on full production as soon as we reach our goal.
The Ultimate Solid of Constant Width isn't just the perfect possession for mathematicians or designers, it is the right totem for anyone, for all of us need a self-reminder of our inner capability of pushing forward.
Risks and challenges
We are very aware of the challenges that other campaigns have faced, that’s why we took our time to make sure every detail was solid before launching this campaign. We’ve partnered with great companies that have a lot of experience with this kind of products and we feel confident that we will be able to deliver with the high standards of quality, consistency and deadlines we set for ourselves.Learn about accountability on Kickstarter
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