#two dimensions

Two Dimensions is a cleverly crafted little 2x2D puzzle game where you shift perspectives to aid your progress through the levels.

Our current FREE exhibition in Gallery 8 explores what it means to move in one, two, three and more dimensions. Developed in collaboration with the University of Oxford’s Mathematical Institute, it used stunning Islamic ceramics, prehistoric carvings, Renaissance prints and virtual reality to take visitors on a journey into cutting-edge science.

In the exhibition, a wall of beautifully decorated tiles helps us to understand two-dimensional objects as well as different types of symmetries they can have. A two-dimensional space is a plane which requires two coordinates to navigate: x and y, longitude and latitude, height and width. So-called 'flat-art' is that which exists on a 2D support.

See these tiles and many other fascinating objects on display until 9 Jun in Gallery 8.

[Click here for a PDF version of this post] Motivation. Suppose that we want to represent GA(2,0) (Euclidean) multivectors as a pair of complex numbers, with a structure like \begin{equation}\label{eqn:bicomplexGA20:20} M = (m_1, m_2), \end{equation} where \begin{equation}\label{eqn:bicomplexGA20:40} \begin{aligned} \gpgrade{M}{0,2} &\sim m_1 \\ \gpgrade{M}{1} &\sim…