Gaussian curve vs Gaussian shape

Gaussian curve and Gaussian shape both are nouns.

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

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

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

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

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