## 1 Introduction  
The study presented in this paper aims at determining mechanisms that generate curves to form aesthetic images. We start from the general goal of developing the field of beautiful curve generating mechanisms, as they can be useful in designing machines and manufacturing equipment for the textile industry, the toys industry, in the manufacture of environmental design objects, the construction of architectural elements, industrial design, etc. For our study, we choose the beautiful image of the Flower of Life, formed by a succession of several circular curves. We set out to find mechanisms that can generate this image that have not been created so far. The Flower of Life is a geometric figure composed of several circles arranged according to a certain rule. The perfect form and harmony of the Flower of Life has been known to philosophers, architects, and artists since ancient times. In many papers, the Flower of Life is presented as an important symbol of sacred geometry. Also, the Flower of Life was correlated with Platonic solids. These aspects are mentioned in several scientific papers, for example, in the works written by [PERSON], [PERSON], and [PERSON] [1; 2; 3; 4]. The Flower of Life contains a secret symbol created by drawing 13 circles which are assimilated with 13 informational systems, each explaining a different aspect of reality. The most common form of the flower is the hexagonal pattern, where the center of each circle is the intersection point of the six circles with the same diameter. This model consists of 19 circles. The Flower of Life has been used over time in different bas-reliefs, mosaics, and engravings and is widespread in almost all the great cultures and civilizations of the world. [PERSON], [PERSON], and [PERSON] speak about these issues in their works [5; 6; 7]. Examples of patterns that have the Flower of Life drawn on them are found in Egyptian, Phoenician, Indian, and Middle East art. The Flower of Life can be found in the ancient temple of Abydos. It can also be found in the old synagogues of Galilee and Mesada in Israel. [PERSON] studied the image of the Flower of Life and had as a main concern its mathematical properties [8]. In [9], correlations are presented between the geometry of the Flower of Life and astronomy. [PERSON] also discussed the Flower of Life as an ancestral symbol in the work Dacian Tree of Life [10]. The Flower of Life is discussed by [PERSON] and [PERSON] in [7]. This paper presents an original, recreational game based on geometric foundations. Platonic solids are found in the Flower of Life, as a geometric figure made with a circular cascade structure. There, a mathematical relationship was created between all 90 elements--Flower of Life petals and 30 platonic solid elements (surfaces, edges, and vertices), which are considered as small and individual parts of the game. In the specialized literature, there are no data to show that the generation of the Flower of Life has been studied with mechanisms specific to mechanical engineering. However, there are studies on the generation of beautiful images, some with a flower corolla-like appearance, formed by combinations of different curves. Research on the generation of aesthetic curves is a topical theme, as they are much used in the design of industrial products. In the mechanisms theory there are many mechanisms that trace certain planes or spatial aesthetic curves. In this case we deal with bar linkages mechanical systems giving certain kinematic possibilities. The study of generating different mathematical curves has concerned many researchers. In [11], [PERSON] presented the theory of mechanisms tracing plane curves and in [12], the same author presented many examples of plane curve generating mechanisms. [PERSON] et al. [13] presented studies regarding aesthetic curves and surfaces generated by some mechanisms. In this paper, we present the manual synthesis, not based on computer tools, of two new mechanisms.