clifford.cga.Round

class clifford.cga.Round(cga, *args)[source]

A point pair, circle, sphere or hyper-sphere.

Typically constructed as method of existing cga, like cga.round()

multivector is accessable by mv property

Parameters:
  • cga (CGA) – the cga object
  • args ([int, Multivector,Multivectors]) –
    • if nothing supplied, generate a round of highest dimension
    • int: dimension of flat (2=point pair, 3=circle, etc)
    • Multivector : can be * existing Multivector representing the round * vectors on the round

Examples

>>> cga.round()               # from None
>>> cga.round(2)              # from dim of space
>>> cga.round(e1,e2,-e1)      # from points
>>> cga.round(cga.flat().mv)  # from existing multivector

Attributes

center center of this round, as a null vector
center_down center of this round, as a down-projected vector (in I_base)
dim dimension of this round
dual self.mv* self.layout.I
radius radius of the round (a float)

Methods

__init__ Initialize self.
from_center_radius construct a round from center/radius
inverted inverted version of this thing.
involuted inverted version of this thing.