It always cracks me up when someone mentions "space age or atomic age" materials! I think great, something from the 60's.
However your description is spot on, something actually designed at the that time, very Jetson's!
I can see the challenges, tapered spikes, check, mortised hub, check, curved spike bases, er....
Some fancy jiggery and a hub diameter drill bit maybe, but you always arrive at innovative methods so this will be fun for us lurkers at least! Makes me think of what the manufactures process people had to noodle through back then.