Measure Meschers, MIT tool to build contrasting digital objects

Learn about “Steptibagel”, which is physically impossible bread that mathematicians use to solve complex engineering problems. But it is difficult to repeat, but it is difficult to repeat, difficult to repeat, and researchers have not been able to take full advantage of their sporting capabilities. This may not be a problem, thanks to a new tool.

On Monday, researchers at the computer science and artificial science laboratory at the Massachusetts Institute of Technology (CSAIL) announced.Meschers“The program that is able to imagine complex representation, 2.5 dimensions of impossible organisms. In addition to creating aesthetic strange organisms, Meschers can eventually help research through engineering, thermal dynamics, even art and architecture, according to researchers. paperSet for publication in ACM transactions on graphicsIt will be presented in Siggraph The conference next week.

“The impossible things are constructions that cannot be found in real life and instead exist only in our perception,” Anna DodekThe main author and PhD student at the Massachusetts Institute of Technology, Gizmodo, told an email. “It is interesting because our visual system can understand it to some extent, but it cannot exist in real life without Bending or cutting it“

She explained that Meschers (a mixture of “networks” and the artist MC Escher provides a way to represent the impossible shapes “in line with our perception and allows us to carry out familiar” three -dimensional “processing processes, although they are not three -dimensional.

For the program, Dodik and its colleagues are in harmony with the calculus calculation and certain aspects of the human visual system. For example, when looking at an impossible object like Pinrose TriangleOur eyes are looking for something called “local consistency”, or simply parts of this inconsistent form that “logically” for us. For the Penrose triangle, these parts are their three LI -shaped angles, these sections are logical, but when we try to connect them as a global consistent form, do not add things completely.

As such, re -creating impossible things in real life requires cutting or benting the object. For mathematical purposes, this has caused problems that may interfere with “engineering operations, such as remote account,” according to researchers. Meschers treats these complications by greatly relaxing the global consistency requirements. Instead, the program focuses on repeating the locally consistent sub -sections of the object.

The program also supports different lighting conditions, which can affect the extent of the depths of the impossible depths of these organisms in the arithmetic introduction. The resulting shape, according to the paper, is sufficient for “a wide range of classic engineering processing algorithms … in a way that is in line with our cognitive intuition.”

For example, the impossible will be an ideal structure for engineering researchers who count the distance between two points on an incomprehensible surface. Instead, it can be used to determine how heat spreads on curved surfaces. Meschers also allows the user to provide an impossible object, such as the Torus deformation (color -like shape) in the Penrose triangle, which makes it easier for artists or architects playing with these unusual forms of their own purposes.

Perhaps more importantly, it is a way to do mathematics that is fun and insight. It is also great to decorate coffee cups, as a great author of the study Justin Suleiman Common with gizmodo. “Our research collection at the Massachusetts Institute of Technology is Engineering data processing collection (GDP)So I had This image He said: “Printed on coffee cups for all members of our team, it is an ideal logo for our group!”

The researchers say Meschers is a source available to the public, and the code will be released soon. So yes, you will soon be able to make impossible for yourself – not to eat, but to stimulate the sporty part of your mind!