Looks like Die Deterioration Doubling to me. The Mint ran the dies hard in the 1950s and 1960s. It's quite uncommon to have doubled dies on both the obverse and reverse of a coin. Also, that doubling doesn't look like any known die varieties for 1960.
The obverse might be Machine Doubling, but given that it appears in all directions radiating outward, I think DDD is a better bet.
As Brandmeister stated, probably Die Deterioration Doubling, basing this on the look of the rest of the coin but there is also rotational Machine Doubling that is a possibility, one of many different types of MD. Regardless, not a doubled die. Keep up the search!
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