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Tag: Dave Feldman


Fractals and Scaling: Dimension of fractal “snowflake”

November 2, 2019 at 10:16 am | Articles, Blog | Ruben Talley -

In this video I’ll introduce a mathematical fractal known sometimes as the snowflake fractal and then we calculate its dimension. So the snowflake fractal like many fractals as we’ll see is made by an iterative process. So we start with a single dot. in the every step, I am gonna take the shape that I

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“Fractals and Scaling: Dimension of fractal “snowflake””

Fractals and Scaling: Self-similar and scale-free

October 26, 2019 at 12:17 pm | Articles, Blog | Ruben Talley -

In this video, I’ll say more about self-similarity. So first just the reminder that self-similarity means that an object is made up of smaller copies of itself. So looks the same at different scales. And moreover, the self-similarity continues across many scales. So it’s not just like, oh here is a big thing there is

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“Fractals and Scaling: Self-similar and scale-free”

Fractals and Scaling: Interview: Christa Brelsford

October 1, 2019 at 6:31 pm | Articles, Blog | Ruben Talley -

Dr. Feldman: So, our guest today is Christa Brelsford. She is a post-doc at the Santa Fe Institute. She has a B.S. in Civil Engineering from Columbia University and also a master’s in Climate and Society. She recently completed her Ph.D. in the School of Sustainability at Arizona State, and then came to join us

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“Fractals and Scaling: Interview: Christa Brelsford”

Fractals and Scaling: How many power laws are from phase transitions?

at 4:32 pm | Articles, Blog | Ruben Talley -

So we’ve seen that phase transitoins give rise to power laws at the critical point, at the point where the system goes from one phase to another where the transition occurs, many quantities of interest are distributed according to a power law, and that’s not the case on either side of that transition. So, power

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“Fractals and Scaling: How many power laws are from phase transitions?”

Fractals and Scaling: Exploring the Sierpiński triangle (and Properties Quiz 1 solutions)

September 12, 2019 at 10:29 am | Articles, Blog | Ruben Talley -

In this video we’ll think about the area in the perimeter of the Sierpinski triangle. And this will be similar to the calculations or considerations we used when figuring out the length of the Koch curve. And in the course of this video I’ll provide solutions to the previous quiz. So here are the steps

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“Fractals and Scaling: Exploring the Sierpiński triangle (and Properties Quiz 1 solutions)”

Fractals and Scaling: some initial results in urban scaling

September 11, 2019 at 9:29 am | Articles, Blog | Ruben Talley -

The starting point for urban scaling is similar to the starting point for metabolic scaling. In both we asked about how properties of something depend on their size. For urban scaling the size it will be interested in is their population and we’ll look at different properties. wages, GDP, length of roads, amount of electricity

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“Fractals and Scaling: some initial results in urban scaling”

Fractals and Scaling: Mathematical vs. real fractals

September 10, 2019 at 9:29 am | Articles, Blog | Ruben Talley -

In this video, I wanna say a little bit about the differences mathematical fractals and real fractals. So mathematically a fractal is an object that self-similar across all scales. You can keep zooming in forever and you continue to see the same shape repeated again and again. So in the Koch curve you zoom in

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“Fractals and Scaling: Mathematical vs. real fractals”