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Artist Maurizio Cattelan duct taped a banana to a wall, titled it "Comedian", and sold 5 editions of the artwork for as much as \$150,000 each. Why did it capture our attention, curiosity, and memes? What does it mean?

Subject:
Art History
Material Type:
Lesson
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Provider Set:
PBS
Author:
The Art Assignment
07/29/2021
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This video introduces the transformations we'll be using in the rest of this lesson.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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First let's think about how to rotate some really simple points such as (0,0) and (1,0)

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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First we'll use the slope intercept form of a line to define each frame along a straight line.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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First we need to make sure we understand exactly what happens in the split & average steps.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Find out how we can make curved lines using straight ones using the string art construction.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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What happens if the director changes their mind and asks for two headed robots?

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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First we'll review weighted averages of two points and extend the idea to three points. Practice weighted averages of two points in Environment Modeling if you haven't seen it before.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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How can we calculate a weighted average between two points? (pssst. This video is super important).

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Next lets build a diagram that break rotation into smaller parts. The next exercise will give us a chance to build our understanding of this diagram.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Let's look more closely at how light behaves when it strikes an object. We'll cover diffuse and specular surface responses.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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First we'll review De Casteljau's algorithm using three points. Then it's your turn to figure out how to do it with 4 points!

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Let's review the multiplication principle which allows us to quickly count the number of possible robots.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now we can combine split and average into a single operation called subdivide.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Next let's extend the averaging step from the previous lesson to include multiple points. Now we'll need to calculate positions using a weighted average.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Where does the string touch the parabola? See if you can come up with your hypothesis!

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now we are ready to calculate an intersection point using our ray CP (parametric form) and our line AB (slope-intercept form).

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now that we have a feeling for constructing permutations let's introduce the factorial formula to make counting them easy.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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In this video we'll uncover the connection between the previous diagram and the rotation formulas. Repeat viewing suggested!

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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We can use de Casteljau's algorithm to calculate curves using any number of points.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
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Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Let's take a closer look at the weights used during subdivision. Do we have to be careful when selecting weights?

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Let's look more closely at how light bounces when it strikes an object. We'll cover reflected and refracted rays.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Are we really creating parabolic curves using this construction? Let's gain some insight first.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Use an array to store many objects as well as create any shape you can imagine. Click here to review objects.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now you can start scaling your shapes to make your lamp look younger.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now you are ready to start subdividing your own shapes with more than 4 points!

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now it's time for a really meaty problem! How can we count the number of possible casts when given a large set of robots to choose from?

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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We need to be careful with the order of scaling and translation. But why?

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Tree diagrams allow us to visualize these counting problems using any number of parts.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Okay we know how to calculate the touching point, great! Next let's think about how we can prove this is true.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Next let's build a blade of grass using a parabolic arc as a spine.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Let's breathe some life into our ball using a key animation principle: squash and stretch.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Next we need to throw away the slope-intercept form and use the line equation instead.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Bonus! In this video we'll connect the degree of these curves to the number of control points in the construction.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now we are ready to ray trace in 3D. We'll look at the problem of ray triangle intersection.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/14/2021
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Now it's your turn to drive. In this video we'll present you with a casting challenge to complete using everything we've learned so far.

Subject:
Applied Science
Computer Science
Graphic Arts
Material Type:
Lesson
Provider: