The free-form objects are in expansion in the architecture of the 21st century, especially in high developed countries as Japan. Design and performing of free-form objects prefers knowledge of parametric modeling in softwares such as Rhinoceros. Before designing free-form objects, it is necessary to obtain knowledge of geometric surfaces and their use in architectural practice. This was also noticed by the Faculty of Engineering and Design, Hosei University in Tokyo, Japan. Subject Geometric Surfaces was introduced to give students a high-quality knowledge in this field, that they can apply for more creative designing of their architectural objects, which will be shown in this paper.