Each Cube is defined by a position vector in R3, a scale factor in R1, and an orientation that is described using a quaternion. When the program loads, 3 random unit quaternions are initialised for ...

Abstract: Different methods exist for deriving a 3D linear transformation, including vector algebra, geometric algebra, and matrix algebra (Artin, 1991; Hestenes, 1986, Foley et al., 2002). In this ...

Abstract: Critical points of a vector field are key to their characterization. Their positions as well as their indexes are crucial for understanding vector fields. Considerable work exists in 2D, but ...

[Hugo Hadfield] wrote to let us know about an intriguing series of talks that took place in February of this year at GAME2020, on the many applications of geometric algebra. The video playlist of ...