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README.md

pyganja

Visualisation library for geometric algebra with cefpython and ganja.js

This is a module for visualing Geometric Algebra from scripts and also from jupyter notebooks, it relies on ganja.js to render Geometric Algebra objects. If you are calling its api from a script it will render them in a cefpython window or if you are in a notebook it can simply render in the notebook itself.

Use

This library is not specifically tied to the clifford library but is designed to work well with it. An example of the syntax that you would use combining these two libraries:

from clifford.tools.g3c import random_line
from pyganja import *

draw([random_line() for i in range(10)])

Produces: Random lines

Mulitple grades of object can be drawn in the same scene with different colors and transparencies

from clifford.g3c import *
from clifford.tools.g3c import *
from pyganja import *

P1 = up(random_euc_mv()*0.1)
P2 = up(random_euc_mv()*0.1)
P3 = up(random_euc_mv()*0.1)
P4 = up(random_euc_mv()*0.1)

# The sphere is the outer product of all 4
S = (P1^P2^P3^P4).normal()

# A line is the outer product of 2 with ninf
L = P1^P2^einf

# The inversion of a line in a sphere is a circle
C = S*L*S

# The tangent to the circle at the intersection point is the reflected line
Ldash = (P1|C)^einf

# The tangent plane to the sphere at the intersection point can be easily found
Ppi = (P1|S)^einf

sc = GanjaScene()
sc.add_objects([P1,P2,P3,P4], color=Color.BLACK)
sc.add_objects([L], color=Color.BLUE)
sc.add_objects([Ldash], color=Color.RED)
sc.add_objects([C], color=Color.RED)
sc.add_objects([S*einf*S], color=Color.BLACK)
sc.add_objects([S])
sc.add_objects([Ppi], color=rgb2hex((0,100,0))+int('70000000',16))
draw(sc,scale=0.5)

Produces: Sphere reflection

Installation

git clone git@github.com:hugohadfield/pyganja.git
cd pyganja
python3 setup.py install

TODO

This is still very much a work in progress, currently it only handles PGA and CGA

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Visualisation library for geometric algebra with cefpython and ganja.js

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