The Making of GABLE: A Geometric Algebra Learning Environment in Matlab

Geometric algebra extends Clifford algebra with geometrically meaningful operators with the purpose of facilitating geometrical computations. Present textbooks and implementation do not always convey this geometrical flavor or the computational and representational convenience of geometric algebra, so we felt a need for a computer tutorial in which representation, computation and visualization are combined to exhibit the intuition and the techniques of geometric algebra. Current software packages are either Clifford algebra only (CLICAL [ 11 ] and CLIFFORD [ 3 ]) or do not include graphics [ 2 ], so we decided to build our own. The result is GABLE (Geometric AlgeBra Learning Environment), a hands-on tutorial on geometric algebra that is suited for undergraduate students [ 7 ].