We are trying to explain again what was said, but in a different way.

Plato said that geometry is the science of knowledge, but not of what is subject to degeneration and corruption from birth to death.

In a way, geometry is concerned with the part of change that does not change.

Islamic artists inherited this Platonic conception of geometry, adopted it and applied it to various collateral creations. All Islamic aesthetics developed in part by Sufi spiritualist, is based on geometry and arithmetics with cyclic rhythms

multiplicity (kazra) demonstrates the oneness of being (tawhid).

The specific case of the star illustrates well this point. Pentalpha, the 5-pointed star, multiplies its symbolic meaning by repeteation, losing its meaning as an isolated element to gain a new dimension within an unique element.

The same happens with regular pentagons and equilateral triangles whose intrinsic symmetry repeated regularly leads to intricate designs. (Tessels in medieval Girih )are of enormous compositional creativity. They are used to cover flat surfaces and especially curves (due to its articulated design) by regular repetition of the same pattern of geometric shapes in vaults, clerestory, scallops or just in the soffit of the arches and squares and in (Mijrab curvatures).