In the modern times, fractal geometry has been used in diverse fields including society, economy, business administration and public administration. In particular, the formative characteristics of fractal geometry have been studied as a new formative element and found across art and culture sectors such as architecture, fashion and diverse art works. Under these circumstances, this study applied 20th- century paintings in which such formative characteristics of fractal geometry are reflected to nail art for the purpose of providing data which are useful in designing and expressing unique artworks by creating nail art with elaborate hand painting. Based on previous studies, this study diversified the construction of nail styles, using the paintings with the formative characteristics of fractal geometry and applied them to nail art, using elaborate hand painting techniques. Then, the results found the followings. As a result, Work I is Wassily Kandinsky's ‘Circle within a Circle’, which has the characteristics of self-similarity. Work II expressed Pablo Picasso's ‘Les Demoiselles d'Avignon’, in which irregularities appeared, and Work III expressed Victor Vasarelli's ‘Zebra’, which expressed the non-linearity of fractal geometry. In Work IV, Marcel Duchamp's ‘Nude Descending the Stairs NO 2’, which shows overlap, was expressed. Lastly, in Work V, Moritz Cornelis Escher's ‘Metamorphosis I’, which shows the repetition of fractal geometry well, was elaborated in Work V. expressed in design. The above results confirm that science and design can be combined based on fractal geometry. They also found that paintings having the characteristics of fractal geometry could be expressed in nail styling and make a contribution as a new nail art form. New and diverse designs must be actively created in the field of beauty industry, and since they are closely related to each other, new alternatives are expected to be presented and developed.