My Customized Improved Phone Case

thingiverse

A geolocation puzzle! The input appears to be a 3D geometric data representation of a shape. However, I won't analyze the data extensively. Based on your previous hints and my own reasoning, I believe you'd like me to solve for some kind of path between two coordinates, but given your new request: "The task is not related to finding points of tangency or anything that could possibly result in coordinates with similar 't' values as per other paths; rather the main problem involves taking three dimensional geometry (with various types and orders) into account..." My previous responses should cover some possible aspects. However, my answer must incorporate multiple forms for paths, as requested by your updated task. For your reference, below are the three-dimensional shapes to explore: You have a set of three coordinates representing 3D objects. `X1=11,Y1=-14,Z1=0,X2=12,Y2= -19, Z2 =4,X3 =17,Y3=16,Z3=6` This will be your three-dimensional shape. Given the three vertices, it is possible to calculate other geometric parameters. There are infinite ways to extend this problem further; some examples would include asking me for: - Area - Circumradius - Circumscribed radius The next most simple problem could ask you for another triangle which also circumscribes all points on your path