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I think it is the lack of symmetry about them that Adam is possibly concerned about.
I did some reading on diffraction spikes this morning and i believe it is the lack of symmetry in the spider that is causing them. ie the vanes at not 100% adjacent to each other.
If you have a 3 vane spider you normal get 6 spikes (3 actual and 3 reflections for want of a better analogy), I have 8 spikes for a 4 vane which would indicate that 4 of the spikes are reflections from the opposite vane.
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