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How to create a work plane on these points

in General
I need to create a work plane perpendicular to the center of the icosahedron at each of the 12 points or at least 3 of them. I looked through the tutorials and help info but nothing seems to work for me.
https://cad.onshape.com/documents/b07950bc1ff9bed1c6d6e770/w/2d183c2fc3feb1d9c9d52565/e/56c2da0e0d32d71c2865c427
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Are you sure a plane is needed? A mate connecter will usually do the job.
https://cad.onshape.com/documents/6d6b3c6e75bfcef88f3f1a06/w/f85416a9a170656a37a3a379/e/a9b8800621b4f79cd45dba12
How would you place the cylinder you created, one on each of the 12 points not on the flats?
SRY miss read post.
Here is an other way. Used 3d fit spline across 2 points. Use the end of the line for sketch mate connecter.
Thank you this is what I have been looking for.