Edward English Jr. Simply take a piece of paper and cut it into a thin strip, say an inch or 2 wide 2. Once you have that strip cut, simply twist one of the ends degrees, or one-half twist. Then, take some tape and connect that end to the other end, creating a ring with one-half twist inside.
You can best observe the principles of this shape by taking your finger and following along the sides of the strip. You'll eventually make it all the way around the shape and find your finger back where it started.
This leaves you with a twisted circular shape, but one that still has two sides. It's this duality that Dr. English mentioned helped him understand more complex principles. Not only that, but the surface of the cut will be larger than just cutting the bagel in half, allowing you to spread more cream cheese on the bagel to eat. In fact, he's famous for two ideas that weren't uniquely his. Yet he was a fine mathematician in a time when Germany excelled in math.
Working near him, were Gauss, Jacobi, Dirichlet, and someone you older engineers remember, Bessel of the infamous Bessel functions. You want each region to touch all other regions. That's easy enough to arrange with four regions. But just try to do it with five. A somewhat similar problem is proving that you can color any map using only four colors.
You can do the coloring easily enough, but don't try to prove that its possible! Multimedia OpenMind books Authors. Featured author. Thomas E. C, United States. Latest book. Work in the Age of Data. Science Mathematics. Inventions Leading Figures. It has the mathematical property of being non-orientable. It is also a ruled surface. Related Stories. Now, researchers have made artificial wings that are actually powered by the sun.
The tiny wings, The new theory better matches experimental observations of the well-known A new material, engineered into a thin strip, is one step closer to 'immunizing' qubits against noise, such as heat and other
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