Fractals are geometric objects that are self-similar, i.e., you can break them apart into smaller pieces which are exact (but smaller) replicas of the original object. These smaller pieces in turn, ...

Geometric algebra is a mathematical framework that extends traditional algebraic concepts to include geometric interpretations. It provides a powerful language for describing geometric ...

Unlike traditional geometric shapes, fractals can have infinite detail, appearing the same at any scale. This means that ...

Algebraic structures and differential geometry are two interconnected fields in mathematics that explore the properties and relationships of geometric objects through algebraic methods.

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

Marcus du Sautoy describes how fractal geometry can be used to describe natural objects, and how it is used in digital animation. Trees use the simple rule of trying to maximise surface area ...