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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
07/15/2021
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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
07/15/2021
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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
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
07/15/2021
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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
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
07/15/2021
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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
07/15/2021
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
Conditional Remix & Share Permitted
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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
07/15/2021
Read the Fine Print
Educational Use
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Students learn how 3D printing, also known as additive manufacturing, is revolutionizing the manufacturing process. First, students learn what considerations to make in the engineering design process to print an object with quality and to scale. Students learn the basic principles of how a computer-aided design (CAD) model is converted to a series of data points then turned into a program that operates the 3D printer. The activity takes students through a step-by-step process on how a computer can control a manufacturing process through defined data points. Within this activity, students also learn how to program using basic G-code to create a wireframe 3D shapes that can be read by a 3D printer or computer numerical control (CNC) machine.

Subject:
Computer Science
Engineering
Geometry
Measurement and Data
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Matthew Jourden
05/04/2019
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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
Provider:
Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
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Provider Set:
Pixar
Author:
Disney Pixar
07/15/2021
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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
07/15/2021
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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