The three types of allotropes are :
1. Diamond
2. Graphite
3. Fullerence
1. Diamond: In diamond each carbon atom under gas SP3 hybridisation. Each carbon is tetrahedrally linked to four other carbon atoms.
2. Graphite: In graphite, carbon is SP2 -hyberdized graphite has a two-dimensional sheet like structure consisting of a number of hexagonal rings fused together. Graphite conducts electricity along the sheet.It is very soft and Slippery
3. Fullerence : Fullerence was discovered collectively by three scientists namely R.E Smalley,R.F Curl and H.W Kroto.