I see that the Oxford dictionary has a plural dice for "a small cube with a different number of spots on each of its sides, used in games of chance". However, there is no plural listed for "a block with a special shape that is used for shaping pieces of metal" (both definitions summarized).
Researchgate has a photograph of "Two dies arranged side-by-side".
Is dies the correct plural of this meaning of die? Why do the two meanings have different plurals? Which was in use first?