Gaussian shape vs normal curve

Gaussian shape and normal curve both are nouns.

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

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

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

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

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