Robert Heinlein writes "And He Built a Crooked House" in 1940. Rene Cartesius Descartes develops the idea of coordinates in 1637.
Rockmore uses a 3D Etch-A-Sketch to show what the 3 dimensions are. Maggie establishes 30 different parameters on a dating website.
Rockmore interviews Greg Leibon to talk about 4 dimensions. The two discuss Edwin Abbott's 1884 book, "Flatland." Leibon explains what the 3D interruption of a 2D world would look like.
Leibon shows a cube enter a 2D world from different angles. Rockmore likens this process to x-rays. Leibon goes on to show a 4D object entering our 3D world.
"Scientific American" holds a contest in 1910 to see how readers describe the 4th dimension. None of the entries mention time. Watch Maddie rush to a speed date, and gain a simple understanding of dimensions.
Leibon gives a simple description of dimension and space. Look at an example of a fractal.
Karl Richter, an animator for Laika House discusses how fractal noise is used in his work. He shows how fractal algorithms are used in 3D space. Listen to a summary of this video.
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Many mathematical objects require more than length, width, and height to describe them. This unit explores different aspects of the concept of dimension, what it means to have higher dimensions, and how fractional or "fractal" dimensions may be better for measuring real-world objects such as ferns, mountains, and coastlines.
Length: 27 minutes
Copyright date: ©2008
Prices include public performance rights.
Not available to Home Video, Dealer and Publisher customers.
Simple row operations
Vector triangle inequality
Local extrema and saddle points
Midpoint rule for triple integrals
Parallel, intersecting, skew and pe...
Parallel, perpendicular and angle b...
Parametric equations of the tangent...
Parametric representation of the su...
Partial derivatives in three or mor...
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