The two are not the same kind of flower.

The snowdrop is a plant of the family Staphylinidae. It has bulbs with linear leaves. Flowering stems erect, at the top of the flower stem bearing a flower, flowers pendulous, bell-shaped; flowers white, six petals, petals are divided into inner and outer two layers, the inner and outer layers each have three petals, the outer layer of petals than the inner layer of petals is longer and more raised. Anthers six, anther pore or short longitudinal split. Ovary three-loculed, fruit a capsule.

Information link? Web Link

Snowdrops look like this -

.................. ........................ Dividing line... .............................. ...

The snowdrop (scientific name: Saussurea involucrata? (Kar. et Kir.) Sch.-Bip.), named snowdrop, or simply snowdrop, because of its lotus-like top shape. It is a perennial herb of the Asteraceae family and the genus Pocahontas, with a height of 15-35 centimeters. Rhizome thick, necked by most brown leaf remains. Stem stout, glabrous. Leaves crowded, basal and cauline leaves sessile, leaf blade elliptic or ovate-elliptic; uppermost leaves bracteate, membranous, yellowish, enclosing involucre, margin with pointed teeth. Heads 10-20, crowded into globose involucres at stem apex. Involucre hemispherical, 1 cm in diam.; involucral bracts 3-4-layered, margin or all purple-brown. Florets purple. Achenes oblong. Crown hairs dirty white. Flowering and fruiting July-September.

Information link? Web Link

Snowdrops look like this -

It's actually obvious at a glance by looking at the picture, which is in the other profiles.

I hope that solves your query.