We apply Takagi methodology to study the multifractal behavior of shower pa
rticles produced in C-12-Em collisions at 3.6 A GeV and p-Em collisions at
400 GeV. The multiplicity moments are found to have a power law dependence
on the mean multiplicity in the varying bin sizes for different nuclear tar
gets. The values of the generalized dimensions are evaluated and found to d
ecrease with q, thereby supporting multifractality in multiparticle product
ion. The values of the multifractal specific heat are also evaluated for ou
r data and for collisions of other heavy ions. We find that the multifracta
l specific heat seems to have a universal value (similar to 1/4) that does
not depend on the type of ions and their energy.