
Geometry Geometry Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 5th, 2019, 10:53 AM  #1 
Newbie Joined: Aug 2019 From: Luxembourg Posts: 1 Thanks: 0  Move 2d polygon in 3d space onto 2d plane
I have a series of 3d points in space they are on an arbitrary plane but i want to move them to a plane AX+BY+CZ+D=0 A=0, B=0, C=1, D=0 so the XY Plane. the matrices for this is identity. From the points i assume 0) All vectors will be unitized 1) the first point in the polygon will be moved to 0,0,0 2) the first and second point in the polygon will define the vector for the X Axis 3) the first point and the last point in the polygon will define a construction vector 4) the cross product of the X Axis Vector and the construction vector will define the Z Axis vector 5) the cross product of the X Axis Vector and the Z Axis Vector will define the Y Axis Vector 6) using the three vectors and the origin point construct a matrices 7) invert the matrices Multiply each polygon point by the inverse matrix to transform them to the xy plane Does not work the polygon is moved but not rotated correctly what do i need to do? All help is appreciated Thanks Madaxe 

Tags 
move, plane, polygon, space 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Plane in threedimensional space  wniemiec  Calculus  1  April 10th, 2019 09:00 AM 
Can two different equations define the same plane in space?  SenatorArmstrong  Geometry  2  June 21st, 2017 10:33 AM 
Find all points on surface whose tangent plane is parallel to given plane  Addez123  Calculus  4  November 12th, 2016 06:51 AM 
2 Points in R3 and 1 point on plane. How to find equation of plane?  extreme112  Linear Algebra  2  October 13th, 2015 07:34 AM 
Is there a polygon which tiles the plane but cannot do so periodically?  complicatemodulus  Geometry  7  July 24th, 2015 05:08 AM 