Gaussian shape vs Gaussian curve

Gaussian shape and Gaussian curve both are nouns.

Word	Noun	Adjective	Verb	Adverb
Gaussian shape	Yes	No	No	No
Gaussian curve	Yes	No	No	No

As nouns, Gaussian shape and Gaussian curve are synonyms defined as:

Gaussian shape and Gaussian curve: a symmetrical curve representing the normal distribution

Other synonyms of Gaussian shape include bell-shaped curve, normal curve.

Gaussian shape (noun)	Gaussian curve (noun)
a symmetrical curve representing the normal distribution	a symmetrical curve representing the normal distribution