3D-Geometry-in-Python

Explore 3D geometry in python!

Installation-

pip install d3g

This project repo will help you find out the

i. Distances between the two points,two lines and a point and a plane.

ii. Magnitude of a vector, dot product and cross product of two vectors.

iii. Angle between two lines, two planes and a line and a plane.

Example 1: Find the distance between the points (2,1,0) and (5,1,4)

from d3g.distance import p2p

p2p(p1=(2,1,0),p2=(5,1,4))

Output-

25.0

Example 2: Find the distance between the point (1,2,3) and the plane 2x + 3y + 4z = 1

from d3g.distance import pointToPlane

pointToPlane(p1 = (1,2,3), plane = [2,3,4,1])

Output-

3.5282114253639856

Example 3: Find the distance between the point (1,2,3) and the line

from d3g.distance import pointToLine

pointToLine(p1 = (1, 2, 3), line = [ [-3, 5, -6], [2, 4, 2] ])

Output-

14.899105176791087

Example 4: Find the distance between the lines:

line 1 :

line 2 :

from d3g.distance import lineToLine

lineToLine(line1 = [ [-3, 5, -6], [2, 4, 2] ], line2 = [ [5, -4, -7], [3, 5, 1] ])

Output-

10.9577109184094

Example 5: Find the magnitude of the vector v = 5i + 3j - 4k

from d3g.vector import magnitude

magnitude(vector = [ 5, 3, -4 ])

Output-

7.0710678118654755

Example 6: Find the dot product of the vectors i + 2j + 3k and 2i + 3j + k

from d3g.vector import dotProduct

dotProduct(vector1 = [1, 2, 3], vector2 = [2, 3, 1])

Output-

11

Example 7: Find the cross product of the vectors i + 2j + 3k and 2i + 3j + k

from d3g.vector import crossProduct

crossProduct(vector1 = [1, 2, 3], vector2 = [2, 3, 1])

Output-

[-7, 5, -1]

Example 8: Find the angle between the lines:

line 1 :

line 2 :

from d3g.angle import lines

lines(line1 = [ [-3, 5, -6], [2, 4, 2] ], line2 = [ [5, -4, -7], [3, 5, 1] ])

Output-

14.963217433307127

Example 9: Find the angle between the planes, plane1: x + y + z = 1 plane2: x + 2y + 3z = 4

from d3g.angle import planes

planes(plane1 = [1, 1, 1, 1], plane2 = [1, 2, 3, 4])

Output-

22.207654298596495

Example 10: Find the angle between the line and a plane, line: plane: x + 2y + 3z = 4

from d3g.angle import lineAndPlane

lineAndPlane(line = [[-3,5,-6],[2,4,2]], plane = [1, 2, 3, 4])

Output-

60.79406775260059