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Introducing The Möbius Strip!
The Möbius strip is known by many names, such as Moebius, Möbius band, infinity ring, Möbius loop, infinity ribbon and many more. Regardless of which name you may know it, the Möbius strip is one of the most famous surfaces in modern mathematics.
After its first documented discovery in the 3rd Century A.D., it fell into relative obscurity. It would take approximately 1,600 years until it was independently mathematically discovered by mathematicians August Möbius in September 1858 and Johann Listing in July 1858. (Interestingly, both students of Carl Gauss, one of the most influential mathematicians.)
Due to its unusual topology, Möbius strips are very hard to fabricate from nearly any method and are typically made by twisting strips of paper. The goal of this Kickstarter is to make the highest quality Möbius ever constructed using 6061 aluminum and modern machining techniques.
As far as we know, this is the first fully CNC machined Möbius Strip, there are no screw holes, no mounts and no assembly. It is solid!
Math Talk ∞
The Möbius is a strange shape. It is a one sided, single edged, non-orientable, two-dimensional surface trying to live in our three-dimensional world. A mathematically idealized Möbius strip would have a cross section of no thickness at all, just a line. The front and back blend into one infinitely thin surface. However, in order to exist in the 3D Euclidean space we do, it must have some thickness. In our Möbius, we have designed a golden ratio cross section.
The fascinating property, which made the Möbius surface famous and considered a biblical symbol, is that it is one sided. If you follow the path of the Möbius with your finger, you will arrive at the same spot where you began. Artist M.C. Escher displayed this property in his 1963 piece, Möbius Strip II. Below is an animated version of his original work.
The Möbius falls under the branch of study known as topology and is considered the simplest non-orientable surface. Non-orientability can seem peculiar at first glance, since everything in our world is oriented (can be given a direction). Orientability is the property whereby we can give direction to determine up vs. down. An orientable surface has two sides. We can orient a surface by using the normal unit vector from any point on the surface, and can establish direction by which way the vector points (vectors have magnitude and direction).
As can be seen in the diagram below, the normal vector never lifts from the surface and yet is still able to point in the opposite direction once it has moved all the way around (note it takes two loops for the vector to come back to its original starting point and direction). One point can have two normal vectors, however, the opposite pointing vector never switched to the other side of the surface (there isn't a 2nd side in this case). This is a violation of orientability. To be oriented, a single point on a surface can have two normal unit vectors pointing away from each other, such as pointing inward and outwards on a sphere, but those vectors should not be on the same side.
To visualize sidedness, consider painting the inside wall of a cylinder red and the outside wall blue. Similarly, try painting a Möbius strip two different colors. On a Möbius , you could only paint with one color since there is just one side.
Real world applications of the Möbius strips include electrical component and circuit designs and belt driven machinery designs, such as conveyor belts and recording tapes (there is twice as much length). On a smaller scale, biologists and chemists are trying to synthesize Möbius molecules, and have even folded DNA strands into Möbius loops.
Design & Precision Machining
Möbius strips can be constructed in many designs and variations. Our design takes inspiration from the earliest picture of a Möbius known to exist, the nearly 2,000 year old Roman mosaic shown below.
Unlike many Möbius, our unique version has a uniform twist along its circumference. This allows our design to stand upright if it is on a level surface, otherwise it will roll.
Quality: In order to fabricate the highest quality Möbius ever constructed, we have decided to Computer Numerical Control (CNC) machine it. The precision and quality from our prior Kickstarter campaigns has been carried over to this one. All Möbius' are CNC machined from solid blocks of aluminum. We will NOT be casting them!
Specifications: Each ring is approximately 2.5 inches in diameter and .5 inches at the thickest point. Each weighs just under 2 oz., 56g.
Colors: The colors available on the Möbius are achieved through anodizing. This creates an extremely strong and durable surface which is corrosion-resistant, scratch-resistant and won't stain or rub off. Apple uses anodizing on nearly all of their products. We are offering these colors: raw aluminum (silver), red, blue, black, purple and champagne. Even though we are anodizing the part, racking marks from anodizing are virtually eliminated.
Finishing Notes: The surface finish will be satin, and show a subtle textured toolpath. It will hide fingerprints and be easily cleaned with hand soap and water if needed.
Production Milestone Timeline
We will give regular updates post-campaign to make sure all backers are in the loop! (no pun intended)
Each blue dot represents a milestone where we will send a campaign update so you are aware of how development is coming along. We will not be like other Kickstarter campaigns that leave their backers in the dark and guessing as to what is happening. Every order will also have tracking.
When the campaign ends, you will receive a Backer Survey email from Kickstarter. In this email you will choose the color for EACH Möbius you pledged for. We have listed July as to when pledges will are expected to ship. Message us if you have a question on how to pledge.
- Our reach goal color is green!
- Also, stands will be available as an add-on item along with our other products.
Our Mission is to Make Awesome Products & Happy Backers!
We have a track record of successfully completing and fulfilling our campaigns. View our prior campaigns to see what our backers are saying.
Risks and challenges
The Möbius Strip pictures in our campaign are of actual machined aluminum parts, not 3D prints or computer generated renderings. Production Möbius Strips will be made the same way. Even if the campaign gets very big with thousands of backers, we don't see this as a potential roadblock from producing quality parts or fulfilling in a timely manner. Every package will ship with tracking.
We have a proven track record of keeping backers updated, staying in communication with them and fulfilling quality products to our backers. We have solidly prepared for this campaign and have the experience necessary to successfully produce and fulfill Möbius strips for all of our backers.
Please contact us at AltDynamic.com or send us a message through Kickstarter's messaging system if you have a question!Learn about accountability on Kickstarter
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