In geometry, an object exhibits symmetry if it looks the same after a transformation, such as reflection or rotation. Symmetry is the underlying mathematical principle behind all patterns and is ...

Maya: "Hannah and Maya, make some nature in a pattern using reflective symmetry." We could do a butterfly. Hannah: Yeah, butterfly. Angela: Brilliant idea. Let's make ourselves a line of symmetry.

This led to my discovery of the ‘why’ behind so many of these reoccurring geometric phenomena. Once I found this symmetry in nature, I was determined to find the Fibonacci spiral in the many things I ...

But many patterns that we see in nature aren't quite like that. We sense that there is something regular or at least not random about them, but that doesn't mean that all the elements are identical.

Professor discusses symmetry, patterns in nature. December 10, 2015; Francis Pellicciaro; A leopard is chasing a zebra, bound to follow the laws of nature and natural selection, ...

Irrational number. The never-repeating pattern of a quasicrystal arises from the irrational number at the heart of its construction. In a regular pentagon, the ratio of the side length of the five ...

From mesmerizing symmetry of spiraling sunflower seeds to mirror-like sides of the human body, patterns dominate nature. Aesthetic appeal aside, what advantage does repetition afford? The question ...