Algorithm for joining meshes - like tinkercad.com

Write algorithm for joining 2 meshes, project contains only program with implemented algorithm without any UI - data will be loaded from 2 input files and saved to output file. Program should works same as grouping option on [login to view URL]: - If both meshes are of same type then the output mesh should be product of addition - If both meshes are of different type then the output mesh should be product of subtraction There will be only 2 types - Solid and Hole Input data can be provided as list of faces (3 vertices) or list of vertices and indices. Output data should be in same format as input data. Application should support only 1 format - it doesn't matter which. 001 - [login to view URL] - Example of cube in list of faces format 002 - [login to view URL] - Example of cube in list of vertices and indices format 001 - [login to view URL] - Example of pyramid in list of faces format 002 - [login to view URL] - Example of pyramid in list of vertices and indices format 001 - [login to view URL] - Example of output of Cube and Pyramid addition in list of faces format 002 - [login to view URL] - Example of output of Cube and Pyramid addition in list of vertices and indices format Vertices are in clockwise order - Unity3D order. Application behavior: I. "[login to view URL]" "001 - [login to view URL]" "001 - [login to view URL]" "001 - [login to view URL]" "Add" 1. argument: "001 - [login to view URL]" - First input file path - existing file 2. argument: "001 - [login to view URL]" - Second input file path - existing file 3. argument: "001 - [login to view URL]" - Output file path - non existing file 4. argument: "Add" - Method name Application can be written in any of following languages (C# is most preferred, Python is least preferred but still acceptable): C#, C++, Java, JavaScript, C, Python If solution will use any external libraries please note this in bid description. Please note that output mesh cannot contains vertices inside solid - eg. joining cube and cone which produce single vertex inside cube instead of multiple vertices on crossing points is not acceptable solution.