By:
Danielle Tebbai
Jessica Dawson
Amy Metger
Suzi Rinker
Aimee McHugh
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Geometry can be found all
throughout art. In:
Fractals
tessellations
Digital & Optical art
Ethnic art forms
• Fractals are
geometric figures,
just like
rectangles, circles
and squares
• They can be found
in Art and in
natural things like
ferns and
coastlines
Freidman's exploration of
the dynamics of a system
of three interconnected
rings resulted in the
visualization of a threetorus. Following a
suggestion of Bill Thurston,
he ray traced an object in
this three-torus by
allowing light rays to follow
geodesics specified by the
configuration space metric.
This project is described in
detail in the Summer
Institute 1992 reports.
• Optical art involves
the study of
perception
• Op artists use
geometric shapes
as a theme in their
work
• It evolved in the
twentieth century
Plants on a Island in
Water
These plants were
created with Lsystems, which also
simulate the impact of
outside forces on the
plant such as gravity,
wind, and sunlight.
• This image, produced by
postdoc John Sullivan of
the Geometry Center,
represents tessellation of
the 3-sphere by 120
regular dodecahedra. This
image is entitled “120 Soap
bubbles.”
• Geometric motifs
were popular with
Islamic artist in
decorating
everything
• Islamic art is a
representation of
their religion
• The word Mandala arises
from the Sanskrit and
means sacred circle. The
shapes that are formed
from these divisions are
symbols that embody the
mathematical principles
found throughout creation.
Roads Untaken by George W. Hart.
Let your eye meander along the
light roads which run between
hexagons or the dark roads
which run between
triangles. The form can be
called the exploded
propellorized truncated
icosahedron.
• In this scroll there is a
rich repertory of
geometric drawings
for wall surfaces and
vaults
• This important
document belongs to
the Islamic tradition
• This piece demonstrates
geometry via the use of
triangular shapes, of a face
or a square.
As you can
see,
geometric
art is a
unique way
to express
one’s
culture.
• The Parthenon is
known as a geometric
masterpiece.
• The Parthenon at the
acropolis near Athens,
Greece is enclosed by
a golden rectangle by
design.
• The Parthenon is
geometrically
proportional.
When the
triangular
pediment is
restored….
• The ancient temple
fits almost precisely
into a golden
rectangle.
Subdivisions show
the rectangle align
perfectly with
major
architectural
features.
• The Hindu’s believe
that geometry is
absolute, eternal,
and unchanging.
• Therefore, they
build temples
reflecting the
universe.
• Many of the Gothic
churches were built
by proportions
derived from the
geometry inherent
in the cube or the
double-cube.
• Many churches are
still built in this
form today.
• The middle Ages were
excited about ratios
and geometry
• The great cathedrals
are a symbol of the
Middle Ages
• Since the ‘golden
section’ of ideal
proportion invented
by the Greeks
geometric shapes in
architecture have
imparted a feeling
of order and
harmony
• The cross is used
as the major
emblem for the
Christian Religion.
• The windows show
geometry.
• Tracery is
exclusively
constructed from
circular arcs and
straight line
segments.
• The theme of the
window is
geometry.
• Regular n-gons are
shown.
• Variations of the
pentagon show the
pentagram and
rose.
Here we see a
mathematical view
of the Great
Pyramid.
• The ancient
Egyptians used
regular polygons in
their construction.
• Egyptians also used
the square as a
symbol of kingship.
• From this we get a
glimpse of advanced
knowledge of
geometry that the
Vedic Hindus
developed
Geometry in the
Desert
• A geodesic shape is
where all the
vertices lie on a
sphere
• Common shapes are
a tetrahedron and
a cube
• Located in
Baltimore
• Has many
geometric shapes
• Is home to many
concerts, art
galleries, and
lectures
Geometric shapes in
Structures
• Six basic elements
in geometry have
been identified in
the bridge
• Point, segment, ray,
triangle, line, and
angle
The Valence School - retrofit of sheds, is an example of
every day use of triangles
in one’s community.
The Chapel at
the U.S. Air
Force Academy
building, is
another
example of
triangular
architecture.
Not only do the
ceiling arches of
the Shelly Ridge
Girl Scout Center
demonstrate
symmetry,
geometry, and the
structural support
of triangles, but it
also demonstrates
tessellations in
the walls of the
building.
The front of the Berkshire
building.
Both the visible side of Brick Street Café, as
well as the upper part of Hawkins Hall
demonstrate Geometry in architecture.
This structure, in and of itself, is a geometric figure.
Not only does it demonstrate symmetry, but it’s
windows and openings are almost formed of tessellations
of squares.
This photo
demonstrates
symmetry in each of
the sub sections, as
well as the use of
many different
polyhedrons and
other geometric
figures.
This picture
shows the usage
of several
different
geometric
shapes in one
architectural
construction.