Mathematics: First-ever image of a flat torus in 3D

Just as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space. However, a French team ...

Tiny fractal trees for solar power

Microscopic "fractal trees" grown from silver could be the basis of a new type of solar cell, say chemists at the University of California, Davis.

Beautiful math of fractals

(PhysOrg.com) -- What do mountains, broccoli and the stock market have in common? The answer to that question may best be explained by fractals, the branch of geometry that explains irregular shapes and processes, ranging ...

Searching for fractals may help cancer cell testing

Scientists have long known that healthy cells looked and behaved differently from cancer cells. For instance, the nuclei of healthy cells -- the inner part of the cells where the chromosomes are stored -- tend to have a rounder ...

Forecast calls for nanoflowers to help return eyesight

(PhysOrg.com) -- University of Oregon researcher Richard Taylor is on a quest to grow flowers that will help people who've lost their sight, such as those suffering from macular degeneration, to see again.

Scientists discover fractal pattern in Scotch tape

(PhysOrg.com) -- Clear cellophane tape – which can be found in almost every home in the industrialized world – may seem quite ordinary, but recent research has shown otherwise. In 2008, scientists discovered that, ...

Remembering the father of fractals

Benoit Mandelbrot, the mathematics professor at Yale who coined the word "fractal," passed away on October 14 at the age of 85. His death recalls the complicated history of his life's work -- the details of which, like fractals ...

UQ researchers break the law -- of physics

(PhysOrg.com) -- Two UQ Science researchers have proved two famous physical laws that have been widely used for the past 25 years do not always work.

Spacetime May Have Fractal Properties on a Quantum Scale

(PhysOrg.com) -- Usually, we think of spacetime as being four-dimensional, with three dimensions of space and one dimension of time. However, this Euclidean perspective is just one of many possible multi-dimensional varieties ...

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