orient-3Pt

Orient-3Pt is a computational geometry tool developed as a Grasshopper component for Rhinoceros 3D software that implements a three-point orientation transformation algorithm. The component replicates the functionality of Rhinoceros' native "Orient by 3 Points" command within the parametric modeling environment of Grasshopper. The tool performs geometric transformations by taking input geometry along with three reference points and their corresponding target positions, calculating the necessary transformation matrix to align these points. The implementation supports optional scaling during transformation and is fully compatible with Hops for server-side computation. This tool addresses the need for automated orientation procedures in parametric modeling workflows, providing a programmatic approach to geometric reorientation tasks that would otherwise require manual intervention. Keywords: computational geometry, geometric transformation, parametric modeling, Grasshopper, Rhinoceros 3D