By Nami Youn
Essay 1 : Golden
Ratio in Art and Architecture
Introduction
According to NCTM’s Principles and Standard for School
Mathematics(2000), rich problems contexts involve connections to other
disciplines, (e.g. science, social studies, art) as well as to the real
world and to the daily life experience of middle-grades students(NCTM,
2000, p.374).
An exploration with the golden ratio offers opportunities
to connect an understanding the conceptions of ratio and proportion to
geometry. The mathematical connections between geometry and algebra can
be highlighted by connecting Phi to the Fibonacci numbers and some golden
figures. Also, the golden ratio is a good topic to introduce historic and
aesthetic elements to a mathematical concept, because we can find that
not a few artists and architects were connected with the golden ratio of
their works through much of the art history.
The one of purposes of this essay is to overview the golden
ratio briefly. The other is to introduce the occurrences of the golden
ratio in art and architecture.
Content
I.
Discovery of the Golden Ratio
A. A brief history of the Golden Ratio
B. Definitions of the Golden Ratio related to Fibonacci sequence number
II.
Some Golden Geometry
III.
The Golden Ratio in Art
IV.
The Golden Ratio in Architecture
V.
Resources
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