Episode 108h: Simple geometric story and the specialness of isometric organisms

Summary:

We strip everything down to the basics: How would the volume of the optimal network scale with body volume (mass) when we do tit right. We consider families of shapes of d dimensions living in an ambient dimension D and the possibility that sink density might scale with size. The beautiful story is that surface area and supply network scaling only match up for isometrically growing shapes.

Date:

2018/02/08

Duration:

32:14

2018/02/08

32:14

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