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## Pixar in a Box

### Course: Pixar in a Box > Unit 12

Lesson 2: Mathematics of subdivision- Start here!
- Weighted average of three points
- Weighted average intuition
- Weighted average of three points
- 2. Weighted subdivision
- Weighted subdivision
- 3. Fun with weights
- Interactive: Weighted subdivision
- Subdivision weights
- Bonus: Equations for points in subdivision

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# Start here!

Overview of this lesson

## Ready to dive in?

In this lesson we are going to develop the mathematics behind the

**subdivision operation.**We used subdivision in the previous lesson to make smooth shapes like this:To get there we must develop our understanding of

**weighted averages of three points**.Next we'll look at how weighted averages are used during the subdivision operation. This will tell the points where to go after we click

*average*:

But if we aren't careful with the

**weights**used in the

**averaging step**we'll get funky behaviours like this:

By the end of this lesson you'll understand how computer modeling tools work underneath the hood. You'll be able to describe

*mathematically*why those points move the way they do.# What do I need to know before starting?

- You should be familiar with how to calculate the
**weighted average of two points**. We covered this in the Environment modeling lesson here. - You should have mastered grade 6 level algebra (this exercise should be easy for you)

## Want to join the conversation?

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- hey i'm new here but i love getting to know about how to become a great programer like the people at pixar. I was wondering if slither.io was a programming game?(3 votes)
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just using 1 color(2 votes) - I don’t get it please help(2 votes)
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**bold**(1 vote)

- umm...do we have to master 6 level algeba bcoz i m a fourth grader so i do not know algebra(1 vote)