You are able to perceive it as a single strand because of the principle of : Good continuation
Principle of Good continuation states that objects with very smooth edges are easily seen as been continuous ( i.e as a single strand ) rather than objects or materials with rough edges.
The rope coiled on a beach has very smooth edges therefore can be seen as a continuous strand and this is possible due to the principle of good continuation.
Hence we can conclude that You are able to perceive it as a single strand because of the principle of : Good continuation.
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