Correlation matrix based filtration for fullerene C70. The correlation matrix is constructed by using the geometry to topology mapping.20,71 As the value of the filtration parameter increase, Rips complex formed grows accordingly, a is an image of fullerene C70; b, c and d demonstrate the connectivity among C70 atoms at filtration threshold ε = 0.1Å, 0.3Å and 0.5Å, respectively. The blue color represents the atoms already formed simplicies.