The state of being, or degree to which something is rugged.(noun)
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Use "ruggedness" in a sentence
"This anchorage is a wonderful place; the water is extremely deep, and the rocks which bound the coast exceed in ruggedness and boldness of outline any that I ever saw before."
"The musical ideas of those of the compositions that are finely realized recall the ruggedness and hardiness and starkness of things that persist in the Finnish winter."
"It does not represent one particular era or historical event, but the idea of ruggedness and perserverance."