Group 3: Art and Mathematics Flashcards
Human activities that involve producing visual, auditory, or performed artworks.
ART
Expression, passion, and aesthetic
ART
Branch of Science that examines the logic of form and uses of numbers and symbols
MATHEMATICS
Reasoning
MATHEMATICS
Known for designing aesthetic human sculptures with ideal proportions and balance.
Canon ‘rule’ of Polykleitos
Suggests the shoulders and hips of sculptures are positioned in a way that counterbalances tension and relaxation known as the chiastic balance.
Canon ‘rule’ of Polykleitos
Positioned in a way that counterbalances tension and relaxation known
Chiastic balance.
Period of artistic ‘rebirth’
Renaissance
Period that recognize the close
relationship between
math and art
Renaissance
Importance of Math in Art
-Can be applied in various ways
-Allows to express beauty
-Art motivated by beauty
-Express and comprehend ideas
-Explain angles and perspectives
“Without Mathematics, there’s no art.” by _______
Luca Pacioli
A “Renaissance Man”
Leonardo Da Vinci
A book of Luca Pacioli, which includes the sketches of polyhedra of Leonardo da Vinci
De Divina Proportione
“Nature’s great mystery” or “Universal law in all forms of nature”
Golden Ratio
Creates the idea of pattern, which is an important aspect of art and math.
Golden Ratio
A special number that
frequently appears in geometry, fine art, and architecture.
Golden Ration or Divine Proportion
Approximate Value of Golden Ration or Divine Proportion
1.618
“Perspective is nothing else than the vision of a scene behind a flat and clear glass on which we mark all objects that are on the other side: they can be connected by pyramids to the center of the eye and these pyramids are intercepted by the glass.” by _____________
Leonardo Da Vinci
Mathematical system for creating the illusion of space
and distance on a flat surface
Linear Perspective
To use linear perspective an artist must first imagine the picture surface as an “__________” through which to see the painted
world.
Open window
Line that runs across the canvas at the eye level of the viewer. It is where the sky appears to meet the ground.
Horizontal Line
The vanishing point should be located near _____________.
The center of the horizon line
Point where all parallel
lines (orthogonals) that run towards the horizon line appear to come together like train tracks in the distance.
Vanishing Point
“Visual rays” helping the viewer’s eye to connect points around the edges of the canvas to the vanishing point. An artist uses them to align the edges of walls and paving stones
Orthogonal lines
Uses one or more geometric shapes to elicit a visual response from the viewer. The
artwork is futuristic, abstract, and colorful, showing different
arrangements of shapes.
Geometric art or abstract
4 Artistic movements
-Concrete Art
-Suprematism,
-Minimalism, and
-Futurism
Made by combining lines,
triangles, squares, and circles.
Geometric Shapes
Type of art that uses straightforward geometric forms that are vivid, colorful, and intended to evoke a range of emotions.
Geometric abstraction
A three-dimensional object that is made up of a limited number of polygons. It simply means that it displays a solid interior and exterior.
Polyhedron or Polyhedra (plural)
Illustration created by Da Vinci
in Pacioli’s manuscript “De Divina Proportione,”
which is now housed in the ?
Vatican library
Piero’s drawing from his manuscript that bears an exact resemblance in illustration created by Da Vinci in Pacioli’s manuscript “De Divina Proportione,”
Libellus De Quinque
Corporibus Regularibus
How many geometric forms Da Vinci illustrate ?
Sixty (60)
Separates an object into two parts that are exactly the same.
Line of symmetry
The Vitruvian Man was created by _________,
Leonardo Da Vinci
The Vitruvuan Man was based on the work of ________, in what year?
-Vitruvius
-1487
“It’s a study of the ideal proportion of the human form”
Vitruvian Man
Vitruvian Man originally referred to as “Le proporzioni del corpo umano secondo Vitruvio.” (Italian) This literally translates to
“The proportions of the human body according to Vitruvius.”
Vitruvian Man Notes is stored in the ____________ and is displayed only occasionally.
Gallerie Dell’ Accademia in Venice, Italy
It represents a perfect man and realism.
Vitruvian Man
A Russian painter and art theorist. He believed that art could convey emotions and ideas through non representational forms and colors.
Wassily Kandinsky
Kandinsky experienced a condition known as _________ where he perceived colors and shapes when hearing music.
“synesthesia”
Several influential books of Wassily Kandinsky, in which he articulated his ideas about the relationship between art,
spirituality, and mathematics
“Concerning the Spiritual in Art” (1910) and “Point and Line to Plane” (1926)
A theory in which Kandinsky explored the psychology of colors and how color and form work together to convey emotion and meaning.
The Spiritual in Art
Kandinsky colour theory centered around two related
contrasts:
Warm versus cool and light versus dark
He believed that yellow tones move towards the viewer, expanding and leading outward from the canvas, whereas
blue moves away from the viewer, receding and shrinking into the picture.
Wassily Kandinsky
Kandinsky broke down the components of visual art into
three fundamental elements:
point, line, and plane.
Seen as the most minimal, atomic element of visual expression.
Point
According to Kandinsky, had the potential to express movement and direction. They could be
straight or curved, and their arrangement and trajectory conveyed different emotional qualities.
Lines
Were the largest visual elements, representing fields of color or space.
Plane
The interaction between planes created
spatial relationships and added
depth and dimension to an artwork.
Famous Artworks of Wassily Kandinsky
“Composition VII” (1913)
“Yellow-Red-Blue” (1925)
This iconic painting is a prime example of Kandinsky’s use of geometric shapes, including circles, triangles, and spirals, to create a visually and emotionally engaging composition.
“Composition VII” (1913)
In this painting, Kandinsky employed primary colors
and geometric forms, such as squares and rectangles, in a meticulously balanced
composition
“Yellow-Red-Blue” (1925)
The study of how different colors affect human mood and behavior.
Psychology of Colors
Very important tool used by
artists and interior decorators, especially in marketing that is used in many industries.
Color psychology
Two Categories of Color
Warm and Cool
Colors in the red area of the color spectrum are known
as
Warm Colors
Warm colors which include
Red, orange, and yellow.
These colors evoke emotions ranging from feelings of warmth and comfort to feelings of anger and
hostility.
Warm colors
Colors on the blue side of the spectrum are known as
Cool Colors
Cool colors which include
Blue, purple, and green.
These colors are often described as calm, but can also
call to mind feelings of sadness or indifference.
Cool Colors
Color: Associated with energy, war, danger, strength, power, determination as well as passion, desire,
and love.
Red
Color: It attracts attention more than any other color,
at times signifying danger.
Red
Color: Enhances human metabolism, increases respiration rate, and raises blood pressure.
Red
Color: The brightest color of the spectrum.
Yellow
Color: Associated with joy, happiness, intellect, and
energy.
Yellow
Color: Produces a warming effect, arouses cheerfulness,
stimulates mental activity, and generates muscle
energy.
Yellow
Color: Bright, attention-getter.
Yellow
Color: It is a non-aggressive color.
Blue
Color: Associated with open spaces, freedom, intuition,
imagination, inspiration, and sensitivity.
Blue
Color: Associated with feelings of sadness.
Blue
Color: Least appetizing
Blue
Color: frequently used for social media logos. One reason for that it represents dependability and trust.
Blue
A Dutch painter and one
of the pioneers of abstract art.
Piet Mondrian
He believed that the harmony and order found in mathematical principles could be applied to art to create a sense of balance and clarity.
Piet Mondrian
He was a key figure in the De Stijl art movement also
known as Neoplasticism.
Piet Mondrian
De Stijl art movement also
known as
Neoplasticism.
De Stijl simply means
“the style”
Neoplasticism means
“new art”
Famous Works of Piet Mondrian
Composition with Red Blue and Yellow
A famous Dutch painter who made some art works that was inspired by mathematics.
M. C. Escher also known as Maurits Cornelis Escher
Escher’s works features a lot because of the
impossible objects, reflection, exploration, and such as
He interacted with some mathematicians to get knowledge and conduct about his tesellation pattern.
Maurits Cornelis Escher
Group of shapes that are drawn by a continuous
pattern or an infinite plane.
Tessellations
Tesselation Artworks of M. C. Escher
Development I; woodcut, 1937
Cycle; lithograph, 1938
Famous Artworks of M. C. Escher
Drawing Hands (1948)
Hand with Reflecting Sphere (1935)
A famous litograph artworks. Escher’s interior studio in Rome that is reflected that he hold by his hand.
Hand with Reflecting Sphere
One of the most popular artwork of M.C Escher, it was
the first litograph printed artworks on the month of January. This image illustrates a piece of paper with wrists of a human.
Drawing Hands
Other Artworks of M. C. Escher
Relativity (1953)
Waterfall (1961)
Sky and Water (1938)
His paintings frequently have numerous characters grouped in intricate compositions that evoke a feeling of drama and movement.
Tomasso Laureti
His art prints provide a window into the rich tradition of Italian Renaissance painting
Tomasso Laureti
Tomasso Laureti art prints provide a window into the rich tradition of
Italian Renaissance painting
Famous Artwork of Tomasso Laureti which depicts Christ on the Cross gazing down at it. Its placement suggests that Constantine played a significant role in the victory it symbolizes, and three of the enormous murals on the walls below illustrate the Church’s assessment of Constantine’s primary contributions.
Triumph of Christianity, from the Raphael Room (1585)
Artworks of Tomasso Laureti
-Bóveda de la Estancia de
Constantino, Triunfo de la
Religión Cirstiana (1582)
- Horatius Cocles on the
Sublician Bridge (1530-1602)
Mathematics serves as the foundation of every design
and offers the tools and techniques required to do their job.
Engineering
Use of shapes, lines, colors, and forms to create an art.
Abstraction
Concentrates mainly on ideas and purposes
Minimalism and Conceptualism
“Math art has the ability to connect people to math in ways they hadn’t expected.”
John Sims
Mathematics in Contemporary Art
-Sol Le Witt’s “Square No. 4” (2004)
-Seeing Pi by John Sim
-Yakan Seputangan headscarf by Evelynda Otong and Tuwas
Yakan Weavers, 2019
Other Artworks of Piet Mondrian
Broadway Boogie Woogie (1943)
Composition A (1923)
Tableau 1 (1921)
Other artworks of Wassily Kandinsky
Composition X (1939)
Moscow 1 (1916)
The Blue Rider (1903)
