The aim of this paper is to show the importance in soft matter physics of such well ordered structures. J.-B. Fournier and G. Durand  have studied the equilibrium shapes of SmA nucleated inside the isotropic phase of some liquid crystal. A particular part of their paper (part 6) concerns asymptotic equilibrium shapes in the limit of large SmA volumes and they have shown that it must correspond to spheres with a radial Apollonius network of conics. The same Apollonius tiling of FCD has been shown by O. D. Lavrentovich and V. M. Pergamenshchik  in SmA films made with octyloxycyanobiphenyl/glycerin (8OCB/glycerin). The temperature is decreased from the nematic phase. In the simplest case of toroidal domains (TFCD), the layers are folded around the circle which bounds the domain base and a straight line passing through the center of the circle. The deformation region is restricted by the cylinder (see figure 10b of reference ). A very interesting review of the different organizations of FCDs in smectic liquid crystals has been detailed by Y. Bouligand . The geometric constructions are explained, allowing one to better understand the different rules of FCD’s association (for instance, the law of corresponding cones (l.c.c.) mentioned in the suite of our paper, polygonal textures, smectic layers as Dupin cyclides,...). Recently, C. Blanc and collaborators have published some beautiful observations in lyotropic liquid crystals in the system CPCl/hexanol/brine inside the lamellar phase [12, 13]. The textures in the lamellar phase made by focal conics show different generations of focal conics as a function of the sample thickness. Using capillaries of about 100 microns of thickness, they have obtained evidence for three different generations of focal conics. The first generation is made by focal conics at the apices of some hexagonal tiling. The second generation fill the interspacing between focal conics again by some hexagonal tiling of focal conics of smaller sizes. The third generation is made with the decoration of the previous generations by three focal conics of smaller size. This experimental situation can be compared to the Apollonius tiling with three generations. Note that these FCDs do not completely tile the space with these defects and it is this lack of completeness that has been investigated in [6, 11, 14].