Introduces the fibonacci sequence and how it appears in nature with pine cones, artichokes, flowers, etc.
Vihart actually show how she counts the number of spirals using a marker.
Illustrates the Pythagorean Theorem using origami (folding a piece of paper). One actually sees the area of the squares of the sides!
The top comment is insightful.
This vid discusses how the fibonacci sequence occurs in plants and introduces the number phi, which is the limit of the ratio between two consecutive fibonacci.
Discusses situatiions in plants where we don't have fibonacci sequences but we get something similar - Lucas numbers.Vihart also explains why these fibonacci numbers occur in nature (sort of).