• Email Us: [email protected]
  • Contact Us: +1 718 874 1545
  • Skip to main content
  • Skip to primary sidebar

Medical Market Report

  • Home
  • All Reports
  • About Us
  • Contact Us

Peculiar New 3D Shapes Roll Exactly Where You Want Them To Go

October 24, 2023 by Deborah Bloomfield

Imagine dice that would always move as you intended. Not just roll into the right number – that’s just a loaded die – but move following a precise pre-determined path. Well, you don’t have to imagine it any longer. Researchers have created trajectoids – wonky 3D shapes that are designed to go forth in a singular, well-established way. And they might help us understand quantum behaviors better, too.

But one thing at a time. First – how does a trajectoid come to be? The idea started from looking at other shapes that can trace linear or curvilinear paths (from something like a cylinder or a sphere to more complex objects) and considering the following problem: if your generic path is made of identical repeating segments, are there shapes that would be able to move along this trajectory?

Advertisement

And the answer is yes, a lot of times. The researchers required that the trajectoid would maintain the same orientation after a certain number of periods (or repetition) of the path. Having a trajectoid that does that after one repetition for all possible paths is believed to be unlikely; but for two repetitions, the team is confident that there exists a trajectoid that keeps the same orientation for almost all possible trajectories.



Their starting point was a sphere, a nice easy object that moves on a straight path when made to roll on an inclined flat plane. Then, they imagined they were adding a lot of trimmable clay to the sphere and pictured it rolling on the custom path. For each movement, they removed some of the clay, to make sure the motion still followed the path. The final object would be a custom shape that could follow the specific trajectory.

The team has 3D printed a few of these objects and demonstrated that they do move as expected. People can 3D print their own version too if they so wish. The mathematical algorithm that underpins the motion of these shapes has an interesting quantum application, to a concept called the “Bloch sphere.”

Advertisement

This is a way to describe quantum states. A regular sphere rolling down a path has information about its movement and orientation at every point. The Bloch sphere has unique information about a quantum state and changes to these states mirror the motion of a sphere. The mathematical setup of trajectoids is like a more generalized version of a rolling sphere.

So, trajectoids can be used to have a better understanding of the quantum states of quantum bits (qubits) in quantum computing, of the behavior of light and its particles in both quantum and classical optics, and even improve MRI scans.

MRI scanners use magnetic fields and radio waves to study the protons inside your body. You can imagine all of them as tiny little magnets and this magnetic state is described by a Bloch sphere. The MRI scanner, with its strong magnetic field, aligns all these protons (making all their Bloch spheres roll), and then radio waves disrupt the alignment – this leads to an emission of signals that tell the scanner what tissues you have in your body.

“The mathematics behind the trajectoid algorithm reveals how any given MRI radio wave pulse can be finely tuned, such that repeating the pulse twice in succession restores all proton spins to their original state. This insight could potentially enhance MRI machines and improve disease diagnoses with greater accuracy,” reads a press statement from the Institute for Basic Science, where this research was conducted.

Advertisement

The study is published in Nature.

Deborah Bloomfield
Deborah Bloomfield

Related posts:

  1. Paris ramps up security as jihadist attacks trial starts
  2. Cricket-‘Western bloc’ has let Pakistan down, board chief says
  3. Ancient Bison Found In Permafrost Is So Well Preserved Scientists Want To Clone It
  4. Where Inside Us Do We Feel Love?

Source Link: Peculiar New 3D Shapes Roll Exactly Where You Want Them To Go

Filed Under: News

Primary Sidebar

  • Dangerous Radiation Awaits Astronauts On Mars – New Mission Could Work Out Just How Much
  • A 4.9 Million-Year-Old Ecosystem Of Interconnected Worlds Is Preserved In A Tennessee Sinkhole
  • 100 Years Since The Scopes (Monkey) Trial: How Much Has Changed Since America’s “Trial Of The Century”?
  • Elephants Use All Kinds Of Gestures To Communicate – They Just Want Apples
  • NASA’s Parker Solar Probe Finds Evidence Of “Barrier” In The Sun’s 2 Million Kelvin Atmosphere
  • Watching Videos At Higher Speeds May Save Time But It Has Some Drawbacks
  • In 2008, Ukraine’s Space Agency Sent A Message To Planet Gliese 581c. It Will Arrive In 2029
  • In A First, A Robot Listened To Spoken Instructions And Performed Surgery – Just Like A Human Would
  • Newly Discovered “Bone-Digesting” Cells Help Burmese Pythons Consume Every Last Bit Of Their Prey
  • Gold Can Be Made By Scientists In A Lab – There’s Just One Problem
  • Recovery Of 24-Million-Year-Old Protein Fragments From Extinct Animal Opens “New Chapter” Of Biology
  • 6 Leading Medical Organizations Team Up To Sue RFK Jr Over COVID-19 Vaccine Policy
  • Less Ice, More Fire: Evidence Melting Glaciers Make Volcanic Eruptions More Explosive
  • This Mini Fridge-Sized Spacecraft Could Study A Time Of The Universe We’ve Never Seen Before
  • Psilocybin Shows Potential In Slowing Human Cell Aging And Increasing Lifespan In Mice
  • Blue Sharks’ Freaky Tooth-Skin Makes It Possible For Them To Change Color To Green And Even Gold
  • Summer In The Northern Hemisphere Will Be 15 Minutes Shorter Than Last Year’s
  • Your Ability To Be Funny May Not Be Inherited After All, And That’s Really Unexpected
  • New Interstellar Comet Tracked To Its Origin Region: “It’s Much Older Than The Solar System”
  • ChatGPT Gets “Absolutely Wrecked” By An Atari Video Chess Game Built In 1979
  • Business
  • Health
  • News
  • Science
  • Technology
  • +1 718 874 1545
  • +91 78878 22626
  • [email protected]
Office Address
Prudour Pvt. Ltd. 420 Lexington Avenue Suite 300 New York City, NY 10170.

Powered by Prudour Network

Copyrights © 2025 · Medical Market Report. All Rights Reserved.

Go to mobile version