Comment Our Practice and Review computer software that students may download. Length of Time 5 weeks Was this course previously approved? A course reinstated after removal within 3 years.
Hunting the Hidden Dimension Mysteriously beautiful fractals are shaking up the world of mathematics and deepening our understanding of nature. You may not know it, but fractals, like the air you breathe, are all around you.
Their irregular, repeating shapes are found in cloud formations and tree limbs, in stalks of broccoli and craggy mountain ranges, even in the rhythm of the human heart. In this film, NOVA takes viewers on a fascinating quest with a group of maverick mathematicians determined to decipher the rules that govern fractal geometry.
For centuries, fractal-like irregular shapes were considered beyond the boundaries of mathematical understanding.
Now, mathematicians have finally begun mapping this uncharted territory. Their remarkable findings are deepening our understanding of nature and stimulating a new wave of scientific, medical, and artistic innovation stretching from the ecology of the rain forest to fashion design.
The documentary highlights a host of filmmakers, fashion designers, physicians, and researchers who are using fractal geometry to innovate and inspire. More Less The producers wish to acknowledge the contributions to the film of Dr. Wolfgang Beyer, who created 12 of the images of the Mandelbrot set which we used in the film.
We apologize for inadvertently omitting Dr. Beyer's credit from the film itself. Beyer's images, which were created with the software program Ultra Fractal 3, can be found at http: For more information, visit www.
You can find it in the rain forest, on the frontiers of medical research, in the movies, and it's all over the world of wireless communications.
One of nature's biggest design secrets has finally been revealed. My god, of course. It's an odd-looking shape you may never have heard of, but it's everywhere around you: They're all over in biology. They're solutions that natural selection has come up with over and over and over again.
Fractals are in our lungs, kidneys and blood vessels. Flowers, plants, weather systems, the rhythms of the heart, the very essences of life. But it took a maverick mathematician to figure out how they work. I don't play with formulas, I play with pictures. And that is what I've been doing all my life.
His was a bold challenge to centuries-old assumptions about the various forms that nature takes.
The blinders came off, and people could see forms that were always there but, formerly, were invisible. Making the invisible visible, finding order in disorder; what mysteries can it help us unravel?
Coming up next, on NOVA: Hunting the Hidden Dimension. Major funding for NOVA is provided by the following: Well, it might surprise a lot of people that ExxonMobil would be interested in lithium ion battery technology applied to hybrid electric vehicles.
Our new battery separator film is a true breakthrough that's going to enable the deployment of more hybrid vehicles, faster. This means a tremendous reduction in greenhouse gases, the equivalent of removing millions of cars from the road.
I think this is the most important project that I've worked on in my career. Sloan Foundation, to portray the lives of men and women engaged in scientific and technological pursuit. Inat Boeing Aircraft in Seattle, engineers were designing experimental aircraft.
Exotic things, with two wings or two tails or two fuselages, and just weird stuff because, "who knows, it might work.
A young computer scientist named Loren Carpenter was helping them visualize what the planes might look like in flight. I would get the data from them and make pictures from various angles, but I wanted to be able to put a mountain behind it, because every Boeing publicity photo in existence has a mountain behind it.
But there was no way to do mountains.In comparing the standing wave pattern for the first harmonic with its single loop to the diagram of a complete wave, it is evident that there is only one-half of a wave stretching across the length of the string. That is, the length of the string is equal to one-half the length of a wave.
Put in the form of an equation. “Exampro forms the basis of our ongoing assessment and is a fantastic preparation tool for the final exams!” Gareth Butcher, Social Sciences Curriculum Director, Long Field Academy.
SC.B Biology: Scientific Inquiry: The student will demonstrate an understanding of how scientific inquiry and technological design, including mathematical analysis, can be used appropriately to pose questions, seek answers, and develop solutions.
Standing Waves A wave that is confined in a space is called a standing wave. Standing waves 1. Use the graphic below to answer these questions. a. Which harmonic is shown in each of the strings below? b. Label the nodes and antinodes on each of the standing waves shown below. c. Use the equation for wave speed (v = fO).
Balancing Equations - Equivalent Number Sentence Activities Check out this algebra task cards for writing equations of parallel and perpendicular lines. Includes a link to Boom Cards (digital, self-checking version) and a set of printable task cards with recording worksheet.
Great algebra activity! Scipi = Science + Math. Registering for S-cool will also register you with Milkround School Leavers who deliver our careers advice and guidance information including uni advice & .