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Projects from my Nonlinear Dynamics & Chaos class were spectacular. One student made a chaotic waterwheel (also called the Lorenz or Malkus waterwheel) using 3D-printed parts and an inexpensive water pump. The dynamics are governed by the famous Lorenz equations.

Shane Ross

4,751 subscribers

59,228 次观看 • 2 年前 •via X (Twitter)

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Prof. Shane Ross 的头像

Prof. Shane Ross2 年前

It rotates one way, then another, ad infinitum

andy 的头像

andy2 年前

here’s some fun code for visualizing a lorenz attractor in 3D

vini 的头像

vini2 年前

@SCalangos vamo fazer um desse para um futuro estudo dirigido do Strogatz KKKKK

Chris Roat 的头像

Chris Roat1 年前

Any chance the model files were made available for the water wheel? Otherwise, I may have to reinvent the, uh, wheel.

Citizen8 的头像

Citizen82 年前

Interesting. I get the strange attractor I think. What's the point though?

Prof. Shane Ross 的头像

Prof. Shane Ross2 年前

Instead of just simulating some chaotic equations on the computer, a real life demonstration helps illustrate that the phenomena are real

Beeraiah Thonti(AB) 的头像

Beeraiah Thonti(AB)2 年前

Nice sophisticated prototype, which will give feel of chaotic water wheel 😃

Politični Monitor SI 的头像

Politični Monitor SI2 年前

Hi I am looking for chaotic DE that is 0 at -infinity and oscillates chaotic around 1 (attractor=1) when approaching + infinity. Are you aware of anything like that. Sprott's jerk DEs are all with the attractor 0.

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$🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.$

🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.

Maurizio Iβα

76,466 次观看 • 1 年前

Full video of the spectacular drone swarm light show! This impressive showcase was conducted by BotLab Dynamics, a startup incubated at IIT Delhi. From hardware to software, every component is designed and built entirely in India. They have also been doing overseas projects.

Full video of the spectacular drone swarm light show! This impressive showcase was conducted by BotLab Dynamics, a startup incubated at IIT Delhi. From hardware to software, every component is designed and built entirely in India. They have also been doing overseas projects.

Hindutva Knight

205,843 次观看 • 7 个月前

Built this 3D-printed VTOL fixed-wing aircraft from scratch. The airframe is made from ABS/ASA, reinforced with carbon fiber, and powered by an F405 flight controller with GPS-assisted flight modes. Seeing a pile of parts turn into a flying aircraft is always worth the effort. 🚁➡️✈️

Built this 3D-printed VTOL fixed-wing aircraft from scratch. The airframe is made from ABS/ASA, reinforced with carbon fiber, and powered by an F405 flight controller with GPS-assisted flight modes. Seeing a pile of parts turn into a flying aircraft is always worth the effort. 🚁➡️✈️

Steven Cheng

27,623 次观看 • 1 个月前

I wish we had anatomical models like this one when I was a medical student. Imagine future medical professionals studying anatomy on these without any limitation (such as access to anatomy models or the formaldehyde smell). This highly detailed 3D-printed hand was made by Digital Anatomy Simulations for Healthcare, LLC using Stratasys 3D printers. They can also create dental components, skulls and a range of models for assisting surgeons in preoperative planning too.

I wish we had anatomical models like this one when I was a medical student. Imagine future medical professionals studying anatomy on these without any limitation (such as access to anatomy models or the formaldehyde smell). This highly detailed 3D-printed hand was made by Digital Anatomy Simulations for Healthcare, LLC using Stratasys 3D printers. They can also create dental components, skulls and a range of models for assisting surgeons in preoperative planning too.

Berci Meskó, MD, PhD

13,542 次观看 • 10 天前

OH BOY, this is getting good! 🍿 Now, left-wing influencer Olivia Julianna—who was called out by Taylor Lorenz for receiving and failing to disclose funding from a liberal dark money group—has come out in defense, claiming Lorenz’s reporting was filled with “factual inaccuracies.” Julianna states that she and the other influencers weren’t paid to “make content.” Instead, she says the money and the training they received from the group were meant to help them “build their own long-term, self-sustainable platforms.” What Julianna is saying completely contradicts Lorenz’s reporting. As much as I don’t like Lorenz, my money is on her because she has the receipts.

OH BOY, this is getting good! 🍿 Now, left-wing influencer Olivia Julianna—who was called out by Taylor Lorenz for receiving and failing to disclose funding from a liberal dark money group—has come out in defense, claiming Lorenz’s reporting was filled with “factual inaccuracies.” Julianna states that she and the other influencers weren’t paid to “make content.” Instead, she says the money and the training they received from the group were meant to help them “build their own long-term, self-sustainable platforms.” What Julianna is saying completely contradicts Lorenz’s reporting. As much as I don’t like Lorenz, my money is on her because she has the receipts.

I Meme Therefore I Am 🇺🇸

131,166 次观看 • 10 个月前

The majority of the UFOs released by the Trump administration are Orbs, or plasma bodies. These Orbs are not modern technology; they were present during WWII, when they were called Foo Fighters, but they were also reported during the Renaissance, the medieval period, and antiquity. They are ancient and connected to the religions. Here's an interesting piece of footage from the files showing a swarm of Orbs around what appears to be some kind of a platform or an oil rig in the ocean. The majority of the UFO footage comes from the Middle East and the Mediterranean. They are connected to the evolution of the soul and the afterlife.

The majority of the UFOs released by the Trump administration are Orbs, or plasma bodies. These Orbs are not modern technology; they were present during WWII, when they were called Foo Fighters, but they were also reported during the Renaissance, the medieval period, and antiquity. They are ancient and connected to the religions. Here's an interesting piece of footage from the files showing a swarm of Orbs around what appears to be some kind of a platform or an oil rig in the ocean. The majority of the UFO footage comes from the Middle East and the Mediterranean. They are connected to the evolution of the soul and the afterlife.

Open Minded Approach

939,337 次观看 • 1 个月前

Gary Moore, the man who made the guitar cry and sing, and B.B King, the man who made the blues a place for everyone. This duo took the stage and shared the same ground in one of those days back in the past. The song was a famous one, The Thrill Is Gone, mostly known with B.B King's major hit from 1970. Two blues legends, one is a student and the other one is the teacher. They are simply working on something they called blues. What a stage, what a performance. #GaryMoore #BBKing

Gary Moore, the man who made the guitar cry and sing, and B.B King, the man who made the blues a place for everyone. This duo took the stage and shared the same ground in one of those days back in the past. The song was a famous one, The Thrill Is Gone, mostly known with B.B King's major hit from 1970. Two blues legends, one is a student and the other one is the teacher. They are simply working on something they called blues. What a stage, what a performance. #GaryMoore #BBKing

Rock'n Roll of All

76,688 次观看 • 1 年前

🚨 WATER-POWERED HUMANOID ROBOT MOVES, THINKS, AND FEELS LIKE YOU Meet Proto Alpha, one of the most humanlike robot ever made. Built by Clone Robotics it mimics the human body with 206 3D printed bones and over 1,000 synthetic muscle fibers each light as a paperclip but strong enough to lift a kilo. Powered not by motors but by a 500 watt heart sized water pump it moves with eerie fluidity. With 320 pressure sensors 70 motion trackers 4 depth cameras and an Nvidia brain this machine can move see and react like us. Source: Clone Robotics

🚨 WATER-POWERED HUMANOID ROBOT MOVES, THINKS, AND FEELS LIKE YOU Meet Proto Alpha, one of the most humanlike robot ever made. Built by Clone Robotics it mimics the human body with 206 3D printed bones and over 1,000 synthetic muscle fibers each light as a paperclip but strong enough to lift a kilo. Powered not by motors but by a 500 watt heart sized water pump it moves with eerie fluidity. With 320 pressure sensors 70 motion trackers 4 depth cameras and an Nvidia brain this machine can move see and react like us. Source: Clone Robotics

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"Fascism is a moment in the history of the middle-class, a means by which the middle-class protects itself from the working class." --- Bernardo Bertolucci on 'The Conformist' (1970) Full Excerpt: "'The Conformist' (1970) is first a film about the bourgeoisie, the middle-class, not about fascism. I was speaking about the middle class, and fascism is a moment in the history of the middle-class, a means by which the middle-class protects itself from the working class. Whenever the working class is coming up, up, up, at this moment fascism makes its appearance. In the film there is a fascist and an anti-fascist, but the Professor in Paris, the anti-fascist, is also from the middle-class. We have two faces of the same coin, of the middle-class. One face is fascism, the other is anti-fascism, but not a Marxist anti-fascism, just an idealism. Because he is also in the middle-class, my anti-fascist is not a hero, not a positive man." (From his interview with Joan Mellen, 1975)

"Fascism is a moment in the history of the middle-class, a means by which the middle-class protects itself from the working class." --- Bernardo Bertolucci on 'The Conformist' (1970) Full Excerpt: "'The Conformist' (1970) is first a film about the bourgeoisie, the middle-class, not about fascism. I was speaking about the middle class, and fascism is a moment in the history of the middle-class, a means by which the middle-class protects itself from the working class. Whenever the working class is coming up, up, up, at this moment fascism makes its appearance. In the film there is a fascist and an anti-fascist, but the Professor in Paris, the anti-fascist, is also from the middle-class. We have two faces of the same coin, of the middle-class. One face is fascism, the other is anti-fascism, but not a Marxist anti-fascism, just an idealism. Because he is also in the middle-class, my anti-fascist is not a hero, not a positive man." (From his interview with Joan Mellen, 1975)

DepressedBergman

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These stainless-steel beads form a powder that is over six times finer than flour, meaning each particle is too small to see with the naked eye. Powders like this are the basic building material of a type of metal 3D printing called "laser powder bed fusion" or (PBF-LB). It works by spreading out a thin layer of metal powder and using a powerful laser to melt the powder together into a specific shape. Then the process continues by laying down a fresh layer of powder on top and repeating. Each layer is leveled off by a wiper. It’s like the way you might level off a cup of flour with the back of a knife. To make a good 3D-printed part, the powder must be spread in an even, consistent way. Now, thanks to NIST research, we can watch the powder spreading and study its behavior. This work will improve the consistency and quality of metal 3D printed parts. Video Credit: National Institute of Standards and Technology #engineering #technology #3dprinting #additivemanufacturing

Wevolver

73,188 次观看 • 1 个月前

Need a Droid why not try Gary Dynamics? Today's video made put together inside of Adobe Firefly Video Editor (beta) using all the tools available in firefly from Runway Aleph to edit existing videos, generate soundtrack, text and fade out effects. This post is sponsored by Adobe Firefly as an Adobe Firefly Ambassador #AdobeFireflyAmbassadors #Ad #ConceptToCreation

Need a Droid why not try Gary Dynamics? Today's video made put together inside of Adobe Firefly Video Editor (beta) using all the tools available in firefly from Runway Aleph to edit existing videos, generate soundtrack, text and fade out effects. This post is sponsored by Adobe Firefly as an Adobe Firefly Ambassador #AdobeFireflyAmbassadors #Ad #ConceptToCreation

Captain HaHaa

17,766 次观看 • 5 个月前

This was so fascinating. I had a teflon knitting needle on ishaan and charged it by rubbing with my Russian fur boots. Then I directed water droplets from a syringe towards the charged knitting needle and this is the resulting dynamics. The droplets, due to charge forces, go into a crazy orbit around the knitting needle. If planets were cylindrical this would be the orbit of its moons due to gravity. Canon G1 video camera, Expedition 30, 2012.

This was so fascinating. I had a teflon knitting needle on ishaan and charged it by rubbing with my Russian fur boots. Then I directed water droplets from a syringe towards the charged knitting needle and this is the resulting dynamics. The droplets, due to charge forces, go into a crazy orbit around the knitting needle. If planets were cylindrical this would be the orbit of its moons due to gravity. Canon G1 video camera, Expedition 30, 2012.

Don Pettit

810,645 次观看 • 1 年前

FOR SPEAKING THE TRUTH??? Varshita, a 10th class student at Government Gurukul School Vangara died by suicide recently! Varshitha was school topper, school captain and an excellent student. She even recently received an award from the district collector. She came back home from Diwali vacation and immediately called her parents to come take her because the principal and vice principal were harassing her. She reported them for pilfering school supplies. Varshitha died by suicide in the hostel barely an hour after calling her parents. Don’t know what is worse! Varshitha’s death or her body was transported in a tractor instead of ambulance!!!! Meanwhile, her harassers are all fine! Happened in #Telangana #ValueOfTruth

FOR SPEAKING THE TRUTH??? Varshita, a 10th class student at Government Gurukul School Vangara died by suicide recently! Varshitha was school topper, school captain and an excellent student. She even recently received an award from the district collector. She came back home from Diwali vacation and immediately called her parents to come take her because the principal and vice principal were harassing her. She reported them for pilfering school supplies. Varshitha died by suicide in the hostel barely an hour after calling her parents. Don’t know what is worse! Varshitha’s death or her body was transported in a tractor instead of ambulance!!!! Meanwhile, her harassers are all fine! Happened in #Telangana #ValueOfTruth

Revathi

1,079,772 次观看 • 8 个月前

Privileged to have inaugurated a project sanctioned by my brother Shri Rahul Gandhi and to have been able to provide water for the Mylukunnu unnathi and all these lovely ladies. I also discussed the long term maintenance issues of these projects with officials of the department and we followed up with a discussion in the DISHA meeting as well. We have suggested some steps to ensure that the handing over of these projects over a period of one year are accompanied by hand holding and guidance by the officials.

Privileged to have inaugurated a project sanctioned by my brother Shri Rahul Gandhi and to have been able to provide water for the Mylukunnu unnathi and all these lovely ladies. I also discussed the long term maintenance issues of these projects with officials of the department and we followed up with a discussion in the DISHA meeting as well. We have suggested some steps to ensure that the handing over of these projects over a period of one year are accompanied by hand holding and guidance by the officials.

Priyanka Gandhi Vadra

65,574 次观看 • 9 个月前

This soft robotic tentacle, designed by ⁨YouTuber It's On My Mind, was printed as a single part on a Formlabs Form 4 resin 3D printer using Silicone 40A. Soft robotics engineers use 3D printing and Silicone 40A to create complex internal geometries - like pressure channels - printed in one piece, with no molds or post-assembly engineering required. When pressurized, those internal chambers steer the tentacle in any direction. #3DPrinting #Formlabs #Robotics

This soft robotic tentacle, designed by ⁨YouTuber It's On My Mind, was printed as a single part on a Formlabs Form 4 resin 3D printer using Silicone 40A. Soft robotics engineers use 3D printing and Silicone 40A to create complex internal geometries - like pressure channels - printed in one piece, with no molds or post-assembly engineering required. When pressurized, those internal chambers steer the tentacle in any direction. #3DPrinting #Formlabs #Robotics

Formlabs

84,557 次观看 • 2 个月前

KILLER CLAUSE: Hidden detail in the Bryan Kohberger deal means no appeals or endless courtroom drama. While some are furious the Idaho student murderer dodged death row, one expert says that fine print spares families from years of facing their kids' killer and reliving the horror. Does this change your mind if you were outraged by the deal — or are you still for an eye for an eye?

KILLER CLAUSE: Hidden detail in the Bryan Kohberger deal means no appeals or endless courtroom drama. While some are furious the Idaho student murderer dodged death row, one expert says that fine print spares families from years of facing their kids' killer and reliving the horror. Does this change your mind if you were outraged by the deal — or are you still for an eye for an eye?

Fox News

33,268 次观看 • 1 年前

One of the most awesome gifts I've ever received from one of my supporters. Spencer loaded these .270 Winchesters by hand, and packed them in a custom 3D printed ammo box. Friends like this negate 1,000s of negative comments that I receive on line. I'll get Spencer as a guest on one of my shows. My fellow freedom-loving Albertans are amazing.

One of the most awesome gifts I've ever received from one of my supporters. Spencer loaded these .270 Winchesters by hand, and packed them in a custom 3D printed ammo box. Friends like this negate 1,000s of negative comments that I receive on line. I'll get Spencer as a guest on one of my shows. My fellow freedom-loving Albertans are amazing.

Martyupnorth®- Unacceptable Fact Checker

31,787 次观看 • 3 个月前

Texas town unveils largest 3D-printed neighborhood with identical eco-friendly homes - but buyers are left shocked by prices | Daily Mail The largest 3D-printed neighborhood ever built has popped up in Texas - but the houses come with a shocking price tag. Each of the 100 single-story three-to-four-bedroom homes in the Wolf Ranch community of Georgetown, northern Austin, costs between $450,000 to $600,000. Coincidentally, the $450,000 cost is also the median price of a regular brick-and-mortar home in the Lone Star State capital, according to Redfin data. But for some, the ingenuity of the Wolf Ranch neighborhood warrants the cost. Lawrence Nourzad, a 32-year-old business development director, and his girlfriend Angela Hontas, a 29-year-old creative strategist, purchased a Wolf Ranch home earlier this summer. 'It feels like a fortress,' Nourzad said, adding that he was confident it would be resilient to most tornados. The walls also provide strong insulation from the Texas heat, the couple said, keeping the interior temperature cool even when the air conditioner wasn't on full blast. There was one other thing the 3D-printed walls seemed to protect against, however: a solid wireless internet connection. 'Obviously these are really strong, thick walls. And that's what provides a lot of value for us as homeowners and keeps this thing really well-insulated in a Texas summer, but signal doesn't transfer through these walls very well,' Nourzad said. To alleviate this issue, an official said most Wolf Ranch homeowners use mesh internet routers, which broadcast a signal from multiple units placed throughout a home, versus a traditional router that sends a signal from one device. The houses are printed using the 45-foot-wide, 4.75-ton Vulcan machine, which pipes layer by layer to build the residential homes. This summer, the robotic printer from ICON is finishing the last few of 100 3D-printed houses in Wolf Ranch. ICON began printing the walls of what it says is the world's largest 3D-printed community in November 2022. Compared to traditional construction, the company says that 3D printing homes is faster, less expensive, requires fewer workers, and minimizes construction material waste. 'It brings a lot of efficiency to the trade market,' said ICON senior project manager Conner Jenkins. 'So, where there were maybe five different crews coming in to build a wall system, we now have one crew and one robot.' Read more:

Texas town unveils largest 3D-printed neighborhood with identical eco-friendly homes - but buyers are left shocked by prices | Daily Mail The largest 3D-printed neighborhood ever built has popped up in Texas - but the houses come with a shocking price tag. Each of the 100 single-story three-to-four-bedroom homes in the Wolf Ranch community of Georgetown, northern Austin, costs between $450,000 to $600,000. Coincidentally, the $450,000 cost is also the median price of a regular brick-and-mortar home in the Lone Star State capital, according to Redfin data. But for some, the ingenuity of the Wolf Ranch neighborhood warrants the cost. Lawrence Nourzad, a 32-year-old business development director, and his girlfriend Angela Hontas, a 29-year-old creative strategist, purchased a Wolf Ranch home earlier this summer. 'It feels like a fortress,' Nourzad said, adding that he was confident it would be resilient to most tornados. The walls also provide strong insulation from the Texas heat, the couple said, keeping the interior temperature cool even when the air conditioner wasn't on full blast. There was one other thing the 3D-printed walls seemed to protect against, however: a solid wireless internet connection. 'Obviously these are really strong, thick walls. And that's what provides a lot of value for us as homeowners and keeps this thing really well-insulated in a Texas summer, but signal doesn't transfer through these walls very well,' Nourzad said. To alleviate this issue, an official said most Wolf Ranch homeowners use mesh internet routers, which broadcast a signal from multiple units placed throughout a home, versus a traditional router that sends a signal from one device. The houses are printed using the 45-foot-wide, 4.75-ton Vulcan machine, which pipes layer by layer to build the residential homes. This summer, the robotic printer from ICON is finishing the last few of 100 3D-printed houses in Wolf Ranch. ICON began printing the walls of what it says is the world's largest 3D-printed community in November 2022. Compared to traditional construction, the company says that 3D printing homes is faster, less expensive, requires fewer workers, and minimizes construction material waste. 'It brings a lot of efficiency to the trade market,' said ICON senior project manager Conner Jenkins. 'So, where there were maybe five different crews coming in to build a wall system, we now have one crew and one robot.' Read more:

Owen Gregorian

149,444 次观看 • 1 年前