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Question by apexsoftworks · Jul 03, 2018 at 12:14 AM · vector3math

Bring 3 Vector 3s together

I'm dealing with a scenario where I have 3 Vector3 stored in variables. I need to be able to "contract" those 3 points together, as well as expand them.

Please see example image below. This is happening in a 3D space and the 3 points can be at any position and the whole triangle might be rotated too (although all 3 points would have the same rotation).

I am able to get the scale to shrink by multiplying the points by a decimal. However this has the negative effect of leaving the triangle completely.

Any help is appreciated!

alt text

demo.png (10.1 kB)
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Answer by Hellium · Jul 03, 2018 at 02:28 PM

Compute the point to use so as to shrink the triangle (can be the centroid or any other point)

Example here : https://stackoverflow.com/questions/9815699/how-to-calculate-centroidanswer-19750258 (need to be adapted to take Vector2 instead of PointF)

Then, compute the new position from the centroid:

 Vector2 centroid = GetCentroid( new List<Vector2>() { pointA, pointB, pointC } ) ;
 Vector2 centroidToA = pointA - centroid ;
 Vector2 centroidToB = pointB - centroid ;
 Vector2 centroidToC = pointC - centroid;
 pointA = centroid + centroidToA.normalized * centroidToA.magnitude * percentage;
 pointB = centroid + centroidToB.normalized * centroidToB.magnitude * percentage;
 pointC = centroid + centroidToC.normalized * centroidToC.magnitude * percentage; 

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