TAO SA MMW

• - is from in Pisa, Italy. 

• - His father Guglielmo Bonacci was a wealthy Italian merchant, who represented merchants of the Republic of Pisa who were trading in Bugia (now Béjaïa) in Algeria, North Africa. 

• - Around 1200 AD he published the Liber Abbaci, or “Book of Calculation.”

• - found the relationship between Fibonacci sequence and the golden ratio.

• - The golden ratio was first called as the Divine Proportion in the early 1500s in Leonardo da Vinci’s work was explored by ___________ (Italian mathematician) entitled “De Devina Proportione” in 1509.

• - used the golden ratio in his works of sculpture. 

• - The exterior dimension of the Parthenon in Athens, Greece embodies the golden ratio.

• - describes five possible regular solids that relate to the golden ratio. 

• - He also considers the golden ratio to be the most binging of all mathematic relationships.

• - was the first to give definition of the golden ratio as “a dividing line in the extreme and mean ratio” in his book the “Elements.” 

• - He proved the link of the number to the construction of the pentagram, known as golden ratio. 

• - was into invention, painting, sculpting, architecture, science, music, mathematics, engineering, literature, anatomy, geology, astronomy, botany, writing, history, and cartography.

• was a painter, architect, poet, and engineer from the Renaissance. 

• He was considered the greatest living artist of his time.

known as Raphael was also a painter and architect from the Renaissance.

• - is a Dutch painter. 

• - It is said that the golden triangle is applied in his paintings “Self Portrait”.

• - was a French post-impressionist painter.

• - His paintings appear to have applied golden ratio to define the horizon, to place point of interest and to create balance.