“Without mathematics there is no art,” said Luca Pacioli, a contemporary of Da Vinci.
Follow the link for an interesting article on the use of maths in Renaissance painting.
Virtual Tour of Newgrange
Gothic art was a style of Medieval art that developed in Northern France out of Romanesque art in the 12th century AD, led by the concurrent development of Gothic architecture. It spread to all of Western Europe, never quite effacing more classical styles in Italy. In the late 14th century, the sophisticated court style of International Gothic developed, which continued to evolve until the late 15th century. In many areas, especially Germany, Late Gothic art continued well into the 16th century, before being subsumed into Renaissance art. Primary media in the Gothic period included sculpture, panel painting, stained glass, fresco and illuminated manuscripts. The easily recognizable shifts in architecture from Romanesque to Gothic, and Gothic to Renaissance styles, are typically used to define the periods in art in all media, although in many ways figurative art developed at a different pace.
The earliest Gothic art was monumental sculpture, on the walls of Cathedrals and abbeys. Christian art was often typological in nature (see Medieval allegory), showing the stories of the New Testament and the Old Testament side by side. Saints’ lives were often depicted. Images of the Virgin Mary changed from the Byzantine iconic form to a more human and affectionate mother, cuddling her infant, swaying from her hip, and showing the refined manners of a well-born aristocratic courtly lady.
Secular art came into its own during this period with the rise of cities, foundation of universities, increase in trade, the establishment of a money-based economy and the creation of a bourgeois class who could afford to patronize the arts and commission works resulting in a proliferation of paintings and illuminated manuscripts. Increased literacy and a growing body of secular vernacular literature encouraged the representation of secular themes in art. With the growth of cities, trade guilds were formed and artists were often required to be members of a painters’ guild—as a result, because of better record keeping, more artists are known to us by name in this period than any previous; some artists were even so bold as to sign their names.
Romanesque art is the art of Europe from approximately 1000 AD to the rise of the Gothic style in the 13th century, or later, depending on region. The preceding period is known as the Pre-Romanesque period. The term was invented by 19th-century art historians, especially for Romanesque architecture, which retained many basic features of Roman architectural style – most notably round-headed arches, but also barrel vaults, apses, andacanthus-leaf decoration – but had also developed many very different characteristics. In Southern France, Spain and Italy there was an architectural continuity with the Late Antique, but the Romanesque style was the first style to spread across the whole of Catholic Europe, from Sicily to Scandinavia. Romanesque art was also greatly influenced by Byzantine art, especially in painting, and by the anti-classical energy of the decoration of theInsular art of the British Isles. From these elements was forged a highly innovative and coherent style.