clifford.cga.CGA¶

class clifford.cga.CGA(layout_orig)[source]¶

Conformal Geometric Algebra

conformalizes the layout_orig, and provides several methods and for objects/operators

Parameters: layout_orig ([clifford.Layout, int]) – a layout for the base geometric algebra which is conformalized if given as an int, then generates a euclidean space of given dimension

Examples

>>> from clifford import Cl
>>> from clifford.cga import CGA
>>> g3, blades  = Cl(3)
>>> g3c = CGA(g3)
>>> g3c = CGA(3)

Methods

`__init__`	Initialize self.
`base_vector`	random vector in the lower(original) space
`dilation`	see `Dilation`
`flat`	see `Flat`
`null_vector`	generates random null vector if x is None, or returns a null vector from base vector x, if x^self.I_base ==0 returns x,
`rotation`	see `Rotation`
`round`	see `Round`
`straight_up`	place a vector from layout_orig into this CGA, without up()
`translation`	see `Translation`
`transversion`	see `Transversion`