Hamid Naderi Yeganeh ( fa, حمید نادری یگانه; born July 26, 1990 in
Iran
Iran, officially the Islamic Republic of Iran, and also called Persia, is a country located in Western Asia. It is bordered by Iraq and Turkey to the west, by Azerbaijan and Armenia to the northwest, by the Caspian Sea and Turkmeni ...
) is an
Iranian
Iranian may refer to:
* Iran, a sovereign state
* Iranian peoples, the speakers of the Iranian languages. The term Iranic peoples is also used for this term to distinguish the pan ethnic term from Iranian, used for the people of Iran
* Iranian lan ...
mathematical artist and
digital artist
Digital art refers to any artistic work or practice that uses digital technology as part of the creative or presentation process, or more specifically computational art that uses and engages with digital media.
Since the 1960s, various names ...
.
He is known for using mathematical formulas to create drawings of real-life objects, intricate and symmetrical illustrations, animations,
fractal
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as ill ...
s and
tessellation
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called ''tiles'', with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of ...
s.
Naderi Yeganeh uses mathematics as the main tool to create artworks. Therefore, his artworks can be totally described by mathematical concepts.
Mathematical concepts he uses in his work include
trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in a ...
,
exponential function
The exponential function is a mathematical function denoted by f(x)=\exp(x) or e^x (where the argument is written as an exponent). Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, ...
,
Fibonacci sequence,
sawtooth wave
The sawtooth wave (or saw wave) is a kind of non-sinusoidal waveform. It is so named based on its resemblance to the teeth of a plain-toothed saw with a zero rake angle. A single sawtooth, or an intermittently triggered sawtooth, is called ...
, etc.
His artwork ''9,000 Ellipses'' was used as the background cover image of ''
The American Mathematical Monthly – November 2017''. His artwork ''Heart'' was used as the image for the February page of the 2016 Calendar of Mathematical Imagery published by the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meeting ...
. His artwork ''Bird'' was used as the postcard image of the ''Art ∩ Math'' exhibit held at
Center on Contemporary Art, Seattle in 2018. One of Naderi Yeganeh's artworks was used as the cover image for ''Newsletter of
Iranian Mathematical Society
The Iranian Mathematical Society (IMS) is the main mathematical society in Iran. It was officially registered in 1971 by Professor Mehdi Behzad, who was the first president of IMS. The current president of IMS is Professor Mohammad Sal Mosle ...
, Autumn 2015''.
His works, including ''A Bird in Flight'' and ''Boat'', have been used on several pages of the
International Mathematical Knowledge Trust (IMKT)'s website. His artwork ''A Bird in Flight'' was used on every page of the first volume of STATure, a publication of the Life Sciences Program at
McMaster University.
Education
Naderi Yeganeh received his bachelor's degree in mathematics from the
University of Qom
University of Qom ( fa, دانشگاه قم) is an Iranian public university located in Qom.
Following an endorsement by the Council of the Islamic Revolution and under the supervision of the Society of Seminary Teachers of Qom, the University ...
and a M.Sc. in Pure Mathematics from
Sharif University of Technology
Sharif University of Technology (SUT; fa, دانشگاه صنعتی شریف) is a public research university in Tehran, Iran. It is widely considered as the nation's most prestigious and leading institution for science, technology, enginee ...
.
His MSc thesis was focused on
numerical methods for approximation and
visualization
Visualization or visualisation may refer to:
* Visualization (graphics), the physical or imagining creation of images, diagrams, or animations to communicate a message
* Data visualization, the graphic representation of data
* Information visuali ...
of
invariant manifolds in
dynamical systems
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a ...
. He won a gold medal at the 38th
Iranian Mathematical Society
The Iranian Mathematical Society (IMS) is the main mathematical society in Iran. It was officially registered in 1971 by Professor Mehdi Behzad, who was the first president of IMS. The current president of IMS is Professor Mohammad Sal Mosle ...
’s nationwide mathematics competition held at
Graduate University of Advanced Technology
The Graduate University of Advanced Technology (GUAT) is an advanced research center and graduate-level degree-granting institution in Kerman, Iran. It was founded in 2007. It is also known as Kerman Graduate University of Technology (KGUT). Th ...
in May 2014 and a silver medal at the 39th
IMS Ims is a Norwegian surname. Notable people with the surname include:
* Gry Tofte Ims (born 1986), Norwegian footballer
* Rolf Anker Ims (born 1958), Norwegian ecologist
See also
* IMS (disambiguation) Ims is a Norwegian surname. Notable people wit ...
’s nationwide mathematics competition held at
Yazd University
Yazd University (YU, , ''Danushgah-e Yezd'') is a public research university in Yazd, Iran. It is a major state-funded research center in central Iran and the academic center of Yazd province and was the first comprehensive institute of higher e ...
in May 2015. A special report about University of Qom's achievements and statistics in the years between 2013 and 2020 issued by the university's budget management and published by the Iranian
MSRT stated Naderi Yeganeh's winning a gold medal at the 38th
IMS Ims is a Norwegian surname. Notable people with the surname include:
* Gry Tofte Ims (born 1986), Norwegian footballer
* Rolf Anker Ims (born 1958), Norwegian ecologist
See also
* IMS (disambiguation) Ims is a Norwegian surname. Notable people wit ...
’s math competition as one of the five outstanding achievements of the university's students in the 2013-2020 period. According to one of the 38th IMS competition committee members, winning a gold medal by a student from University of Qom was a highlight of that competition.
Works
Drawings of real-life objects
Naderi Yeganeh has introduced two methods to draw real-life objects with mathematical formulas.
By the first method, he creates tens of thousands of computer-generated mathematical figures to find a few interesting shapes accidentally. Then he changes the equations a little bit in order to increase the resemblance of the accidentally found shapes to real life objects. For example, by using this method, he found some shapes that resemble birds, fishes and sailing boats.
In the second method, he draws a real life object with a step-by-step process. In each step, he tries to find out which mathematical formulas will produce the drawing.
For example, by using this method, he drew birds in flight, butterflies, human faces and plants using
trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in a ...
.
Naderi Yeganeh says: "In order to create such shapes, it is very useful to know the properties of the trigonometric functions".
In 2018, in an interview with the
Sharif University of Technology
Sharif University of Technology (SUT; fa, دانشگاه صنعتی شریف) is a public research university in Tehran, Iran. It is widely considered as the nation's most prestigious and leading institution for science, technology, enginee ...
Public Relations Naderi Yeganeh said: I use mathematical concepts in a work of art in a way that it could be thoroughly explained in a paragraph. That makes the understanding of an artwork's scientific underpinning easier.
''A Bird in Flight''
An instance of drawing real things by using Yeganeh's methods is ''A Bird in Flight,'' which is the name of a number of bird-like
geometric shapes
Geometric Shapes is a Unicode block of 96 symbols at code point range U+25A0–25FF.
U+25A0–U+25CF
The BLACK CIRCLE is displayed when typing in a password field, in order to hide characters from a screen recorder or shoulder surfing.
U+ ...
introduced by Naderi Yeganeh. Yeganeh created those drawings by using the two methods mentioned above. An example of ''A Bird in Flight'' that was created by his first method is made of 500
segments defined in a
Cartesian plane where for each
the endpoints of the
-th line segment are:
:
and
:
.
The 500 line segments defined above together form a shape in the Cartesian plane that resembles a
flying bird. Looking at the line segments on the wings of the bird causes an
optical illusion
Within visual perception, an optical illusion (also called a visual illusion) is an illusion caused by the visual system and characterized by a visual perception, percept that arguably appears to differ from reality. Illusions come in a wide v ...
and may trick the viewer into thinking that the line segments are
curved lines. Therefore, the shape can also be considered as an
optical artwork.
Another version of ''A Bird in Flight'' that was designed by Naderi Yeganeh's second method is the union of all of the circles with center
and radius
, where
, and
:
:
:
The set of the 20,001 circles defined above form a subset of the Cartesian plane that resembles a flying bird. Although this version's equations are a lot more complicated than the version made of 500 segments, it has a far better resemblance to a real flying bird.
Other works similar to this version of ''A Bird in Flight'' that was released by Naderi Yeganeh in 2016 are in the form of a flying
parrot,
magpie
Magpies are birds of the Corvidae family. Like other members of their family, they are widely considered to be intelligent creatures. The Eurasian magpie, for instance, is thought to rank among the world's most intelligent creatures, and is on ...
and
stork
Storks are large, long-legged, long-necked wading birds with long, stout bills. They belong to the family called Ciconiidae, and make up the order Ciconiiformes . Ciconiiformes previously included a number of other families, such as herons an ...
.
Fractals and tessellations
Naderi Yeganeh has designed some fractals and tessellations inspired by the
continent
A continent is any of several large landmasses. Generally identified by convention rather than any strict criteria, up to seven geographical regions are commonly regarded as continents. Ordered from largest in area to smallest, these seven ...
s. For example, in 2015, he described the fractal Africa with an
Africa
Africa is the world's second-largest and second-most populous continent, after Asia in both cases. At about 30.3 million km2 (11.7 million square miles) including adjacent islands, it covers 6% of Earth's total surface area ...
-like octagon and its lateral inversion.
And he has created tessellations with
Northern America
Northern America is the northernmost subregion of North America. The boundaries may be drawn slightly differently. In one definition, it lies directly north of Middle America (including the Caribbean and Central America).Gonzalez, Joseph. 20 ...
-like and
South America
South America is a continent entirely in the Western Hemisphere and mostly in the Southern Hemisphere, with a relatively small portion in the Northern Hemisphere at the northern tip of the continent. It can also be described as the sou ...
-like polygons.
Fractal Africa
Fractal Africa is a
fractal
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as ill ...
made of an infinite number of
Africa
Africa is the world's second-largest and second-most populous continent, after Asia in both cases. At about 30.3 million km2 (11.7 million square miles) including adjacent islands, it covers 6% of Earth's total surface area ...
-like
octagons which was introduced by Naderi Yeganeh.
The fractal's octagons are
similar to each other and they have some resemblance to the map of Africa.
The numbers of octagons of different sizes in the fractal is related to the
Fibonacci sequence: 1, 2, 3, 5, 8, 13, 21, 34, .... The height of the biggest octagon of the fractal is φ times larger than the height of second octagon; where φ is the well-known
golden ratio.
File:Fractal Africa and Fibonacci Sequence Animation by Hamid Naderi Yeganeh.gif, alt=
File:Fractal Africa and Fibonacci Sequence Animation 2 by Hamid Naderi Yeganeh.gif, alt=
Exhibitions and conferences
* Art ∩ Math,
Center on Contemporary Art (Seattle, WA), March 1 - April 14, 2018.
* The Intersection of Art + Math, Schack Art Center (Everett, WA), April 26 - June 2, 2018.
*LASER Talks in Tehran,
(Tehran, Iran), August 10, 2018.
Reception
In 2015,
CNN used the question "Is this the next
da Vinci
Leonardo di ser Piero da Vinci (15 April 14522 May 1519) was an Italian polymath of the High Renaissance who was active as a painter, draughtsman, engineer, scientist, theorist, sculptor, and architect. While his fame initially rested on h ...
?" for the title of a video about Naderi Yeganeh's work and
CNN Arabic
CNN Arabic ( ar, سي إن إن بالعربية) is a news website located in Dubai launched on 19 January 2002. Part of the CNN network, it provides international news in the Arabic language, with continuous updates on regional and internati ...
used the title "Is this Iranian student da Vinci's successor?" for an article about him.
In 2015,
Asia Society
The Asia Society is a non-profit organization that focuses on educating the world about Asia. It has several centers in the United States (Manhattan, Washington, D.C., Houston, Los Angeles, and San Francisco) and around the world (Hong Kong, Ma ...
Philippines
The Philippines (; fil, Pilipinas, links=no), officially the Republic of the Philippines ( fil, Republika ng Pilipinas, links=no),
* bik, Republika kan Filipinas
* ceb, Republika sa Pilipinas
* cbk, República de Filipinas
* hil, Republ ...
stated in a post on Facebook that "Hamid Naderi Yeganeh reveals the beauty of Math through Art".
In 2015, The
National Museum of Mathematics stated in a post on
Facebook
Facebook is an online social media and social networking service owned by American company Meta Platforms. Founded in 2004 by Mark Zuckerberg with fellow Harvard College students and roommates Eduardo Saverin, Andrew McCollum, Dust ...
that "Hamid Naderi Yeganeh takes graphing art to the next level!" In 2016,
Institute for Mathematics and its Applications
The Institute for Mathematics and its Applications located at the University of Minnesota is an organization established in 1982 by the National Science Foundation (NSF) of the United States.
Mission
The primary mission of the IMA is to increase ...
commented on the Naderi Yeganeh's blog post showing how to draw human faces with mathematical equations: "Another reason that math wins". In 2016,
COSMOS raised this question in the introduction to its interview with Hamid Naderi Yeganeh: "Why couldn't high school mathematics be more like this?" in order to get its readers thinking about the potential of using Naderi Yeganeh's work in
mathematics education.
In 2016,
Mathematics in Education and Industry
MEI (Mathematics in Education and Industry) is an independent educational charity and curriculum development body for mathematics education in the United Kingdom. Income generated through its work is used to support the teaching and learning of ...
stated in a tweet that: "Hamid Naderi Yeganeh is a mathematical artist who's created plant images by trigonometric functions." In 2016, Barbour Design Inc. stated on its own blog that "These often delicately intricate works are quite remarkable, and more astounding is that Yeganeh writes computer programs based on mathematical equations to produce them." In 2017,
Mathematical Association of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure a ...
commented about one of Naderi Yeganeh's animations in a tweet: "Watch the beauty of trigonometric functions come alive". In 2017,
Fields Institute described Naderi Yeganeh's work as "beautiful math" in a tweet. In 2017,
Berkeley Lab
Lawrence Berkeley National Laboratory (LBNL), commonly referred to as the Berkeley Lab, is a United States national laboratory that is owned by, and conducts scientific research on behalf of, the United States Department of Energy. Located in ...
commented on one of Naderi Yeganeh's blog posts: "Create stunning symmetrical images armed with a few equations and a computer".
Views
Naderi Yeganeh believes that there are an infinite number of ways of using mathematical tools in art. In 2015, in an interview with
CNN Style he said: "The power of mathematics is unlimited. There's an infinite number of great artworks that we can create".
He says, "I don’t think computer-made art clashes with human creativity, but it can change the role of artists.”
In 2016, He said in an interview with
Dong-A Science
The ''Dong-A Ilbo'' (, literally ''East Asia Daily'') is a newspaper of record in Korea since 1920 with a daily circulation of more than 1.2 million and opinion leaders as its main readers. ''The Dong-A Ilbo'' is the parent company of Dong-A M ...
: "For me, mathematics is the best tool to create works of art." Hamid Naderi Yeganeh believes that introducing mathematical objects that resemble real recognizable things may encourage young people to pursue mathematics. He believes mathematics is an international culture and mathematics can help to promote peace and love between nations.
Naderi Yeganeh believes that
Pi is an international number and it can be a
symbol of peace
A number of peace symbols have been used many ways in various cultures and contexts. The dove and olive branch was used symbolically by early Christians and then eventually became a secular peace symbol, popularized by a ''Dove'' lithograph by ...
between nations.
Gallery
Below are some examples of Yeganeh's mathematical figures:
References
External links
Mathematical Concepts Illustrated by Hamid Naderi Yeganehat
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meeting ...
Hamid Naderi Yeganeh's blog postsin The Huffington Post
http://alum.sharif.edu/~naderiyeganeh
{{DEFAULTSORT:Naderi Yeganeh, Hamid
Mathematical artists
Digital artists
Living people
Iranian designers
Fractal artists
Iranian contemporary artists
1990 births
Sharif University of Technology alumni
Iranian Mathematics Competition Medalists
21st-century Iranian mathematicians
21st-century male artists
People from Qom
Digital art
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