Final answer:
The beveled style replaced the geometric style and was notable for its swirling patterns and use of diverse motifs, originating from Samarra. The Third Style of Roman painting favored fantastical elements and Egyptian motifs. Both styles, as well as Art Deco and Islamic Art, are indicative of the varying uses and symbolism of geometric and stylized motifs in different cultures and periods.
Step-by-step explanation:
The beveled style replaced the geometric style and was known for its use of motifs. Artisans during this period created a new aesthetic that featured swirling patterns. This style is notable for its origin in the palaces of Samarra, where it was used primarily for stucco wall coverings and later found in carved wood and stone.
These decorative motifs have roots in Ptolemaic and early Roman Egypt, combining geometric, floral, and animal patterns. Such designs were indicative of the ever-growing Mediterranean influence on Egypt during the Greek and Roman dominations. Similarly, the Third Style of painting, associated with Roman art, introduced fantastic and stylized elements, drawing from Egyptian themes and diverging from realistic architectural representations.
Moreover, geometric and vegetative motifs gained prominence in Islamic Art, expressing, through the arabesque, the transcendent and infinite nature of God, which became a repeating element in various art forms across the Islamic world. In parallel, the Art Deco movement highlighted the modern incorporation of technology with its predilection for symmetry, bold geometric shapes, and lavish ornamentation.