Hamid Naderi Yeganeh
Hamid Naderi Yeganeh (Persian: حمید نادری یگانه; born 26 July 1990) is an Iranian mathematician, mathematical artist and digital artist. He is known for using mathematical formulas to create drawings of real-life objects, intricate and symmetrical illustrations, animations, fractals and tessellations. Naderi Yeganeh uses mathematics as the main tool to create artworks.
Hamid Naderi Yeganeh

Hamid Naderi Yeganeh · CC BY 4.0
- Born
- 1990.
- Nationality
- Iran.
- Occupation
- mathematician and designer.
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Hamid Naderi Yeganeh (Persian: حمید نادری یگانه; born 26 July 1990) is an Iranian mathematician, mathematical artist and digital artist. He is known for using mathematical formulas to create drawings of real-life objects, intricate and symmetrical illustrations, animations, fractals and tessellations. Naderi Yeganeh uses mathematics as the main tool to create artworks.
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In this article
Education
Education
Therefore, his artworks can be totally described by mathematical concepts. Mathematical concepts he uses in his work include trigonometric functions, exponential function, Fibonacci sequence and the sawtooth wave. 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. 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, 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 art has also been featured in some school math textbooks including one that was published by Oxford University Press. In 2025, he delivered a presentation at UNESCO's webinar celebrating the International Day of Mathematics.
Naderi Yeganeh received his bachelor's degree in mathematics from the University of Qom and a M.Sc. in pure mathematics from Sharif University of Technology and his PhD from University College London. His MSc dissertation was focused on numerical methods for approximation and visualization of invariant manifolds in dynamical systems and his PhD thesis title was Invariant Sets and Stability in Dynamical Systems Applied to Theoretical Ecology and Population Genetics. He won a gold medal at the 38th Iranian Mathematical Society's nationwide mathematics competition held at Graduate University of Advanced Technology in May 2014 and a silver medal at the 39th IMS's nationwide mathematics competition held at Yazd University 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'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.
Drawings of real-life objects
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. 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 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". More recently, he has introduced a method to describe an image pixel-by-pixel by using a network of mathematical functions.
A Bird in Flight
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 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 k = 1, 2, 3, …, 500 {\displaystyle k=1,2,3,\ldots,500} the endpoints of the k {\displaystyle k} -th line segment are: (3 2 sin 7 (2 π k 500 + π 3), 1 4 cos 2 (6 π k 500)) {\displaystyle \left({\frac {3}{2}}\sin ^{7}\left({\frac {2\pi k}{500}}+{\frac {\pi }{3}}\right),\,{\frac {1}{4}}\cos ^{2}\left({\frac {6\pi k}{500}}\right)\right)} and (1 5 sin (6 π k 500 + π 5), − 2 3 sin 2 (2 π k 500 − π 3)) {\displaystyle \left({\frac {1}{5}}\sin \left({\frac {6\pi k}{500}}+{\frac {\pi }{5}}\right),\,{\frac {-2}{3}}\sin ^{2}\left({\frac {2\pi k}{500}}-{\frac {\pi }{3}}\right)\right)}. 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 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 (A (k), B (k)) {\displaystyle \left(A(k),B(k)\right)} and radius R (k) {\displaystyle R(k)}, where k = − 10000, − 9999, …, 9999, 10000 {\displaystyle k=-10000,-9999,\ldots,9999,10000}, 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. It uses the periodic nature of trigonometric functions to form the feathers. 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 and stork.
Fractals and tessellations
Fractals and tessellations
Naderi Yeganeh has designed some fractals and tessellations inspired by the continents. For example, in 2015, he described the fractal Africa with an Africa-like octagon and its lateral inversion. And he has created tessellations with Northern America-like and South America-like polygons.
Fractal Africa
Fractal Africa
Fractal Africa is a fractal made of an infinite number of Africa-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 golden ratio.
Exhibitions and conferences
Exhibitions and conferences
Art ∩ Math, Center on Contemporary Art (Seattle, WA), 1 March – 14 April 2018. The Intersection of Art + Math, Schack Art Center (Everett, WA), 26 April – 2 June 2018. LASER Talks in Tehran, Leonardo, the International Society for the Arts, Sciences and Technology (Tehran, Iran), 10 August 2018. UNESCO's International Day of Mathematics Webinar 2025, UNESCO (Paris, France), 14 March 2025. 200 Years of Mathematics at UCL Symposium, UCL (London, United Kingdom), 11 June 2026.
Views
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: "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 between nations.
Reception
In 2015, CNN used the question "Is this the next da Vinci?" for the title of a video about Naderi Yeganeh's work, and CNN Arabic used the title "Is this Iranian student da Vinci's successor?" for an article about him. In 2015, Asia Society Philippines 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 that "Hamid Naderi Yeganeh takes graphing art to the next level!" In 2016, Institute for Mathematics and its Applications 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 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 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 commented on one of Naderi Yeganeh's blog posts: "Create stunning symmetrical images armed with a few equations and a computer".
Notes from the source article
Cited by Wikipedia
Notes from the source article
These works are cited by the source article, in its own numbering. They are recorded as its citations, not as sources VALÉORINE has verified.
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- 2.Zhao, Han. Can an algorithm be art?. Christian Science Monitor. 7 May 2018. 0882-7729.
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- 12.Jalan, Atul. Where Will Man Take Us?: The bold story of the man technology is creating. Penguin Random House India. 2019. 978-9-353-05505-9.
- 13.New York University, Faculty of Arts & Science. Teaching Coding Languages in Noncoding Courses. 6 September 2019.
- 14.Naderi Yeganeh, Hamid. Importing Things From the Real World Into the Territory of Mathematics!. Huffington Post (blog).
- 15.Tizón Escamilla, Nicolás. Programación Didáctica de la materia Matemáticas Orientadas a las Enseñanzas Académicas correspondiente al Tercer Curso de Educación Secundaria Obligatoria. University of Granada.
- 16.Naderi Yeganeh, Hamid. Using the Sawtooth Wave to Create Some Beautiful Images. HuffPost. 27 October 2015.
- 17.About the Cover. The American Mathematical Monthly. 124. 9. 772. November 2017. 10.1080/00029890.2017.11919668.
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- 22.Islamic Azad University, Central Tehran Branch. چاپ تصویر ابداعی دانشجوی نابغه ایرانی در تقویم 2016 انجمن ریاضی آمریکا. 2 January 2016.
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- 24.CoCA's next show Art n Math explores the bold new realms in math and art. Opening reception on Thurs, March 1, 6pm – 9pm. 966402398821470208. 21 February 2018.
- 25.In celebration of #PiDay, @UW alums — and former #math instructors — Katherine Cook and Dan Finkel (@MathforLove) will present "The Beauty of Math" tonight at @CoCASeattle. 973947501421084677. 14 March 2018.
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- 29.Department News, January 2024, Part 2. University College London Department of Mathematics. 25 January 2024.
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- 33.UCL. Department News, January 2025, Part 3. Mathematics. 2025-01-22.
- 34.about.me. Hamid Naderi Yeganeh.
- 35.Sharif University of Technology Visual Arts Center. وقتی علم و هنر با هم آمیخته میشوند – مصاحبه ای با حمید نادری یگانه. گاهنامه کانون هنرهای تجسمی دانشگاه صنعتی شریف.
- 36.Sharif University of Technology. آمیزه ریاضی و هنر. Sharif Daily. 737. 2. 7 November 2017.
- 37.Invariant Sets and Stability in Dynamical Systems Applied to Theoretical Ecology and Population Genetics - UCL Discovery. ucl.ac.uk.
- 38.Sharif University of Technology. Numerical Methods for Approximation and Visualization of Invariant Manifolds in Dynamical Systems, Author: Naderi Yeganeh, Hamid, Publisher: Sharif University of Technology, 2019. Sharif Digital Repository.
- 39.ESMA European Society for Mathematics and the Arts. ESMA Newsletter February 2015. February 2015.
- 40.Washington University in St. Louis. Math Art: Hamid Naderi Yeganeh. February 2015.
- 41.Iranian Mathematical Society. سی و هشتمین مسابقه ریاضی دانشجویی کشور، دانشگاه تحصيلات تكميلي صنعتي و فناوري پيشرفته ماهان، 23–26 اردیبهشت 1393، نتایج انفرادی. May 2014.
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- 43.دانشگاه قم از نگاه آمار دوره گزارش از 1392 تا 1399. Iranian Ministry of Science, Research and Technology. 26. 2021.
- 44.Ahmadi, Bijan. چند نکته در مورد مسابقه امسال. Newsletter of Iranian Mathematical Society. Iranian Mathematical Society. 141. 32. Spring 2014.
- 45.Young, Lauren. Math Is Beautiful. Science Friday. 19 January 2016.
- 46.La-Gaffe, Gaston. Top 5 Expressions of Mathematics in Art. FAD Magazine. 13 December 2021.
- 47.Fratini, Stephen. Math in Art, and Art in Math. Independently published. 2021. 979-8-7308-3170-4.
- 48.Bellos, Alex. Catch of the day: mathematician nets weird, complex fish. The Guardian. 24 February 2015.
- 49.Cavanagh, Peter. Avian Arithmetic: The mathematics of bird flight. 5 March 2021.
- 50.Mellow, Glendon. Mathematically Precise Crosshatching. Scientific American (blog). 6 August 2015.
- 51.Plus Magazine. This is not a bird (or a moustache). 8 January 2015.
- 52.Naderi Yeganeh, Hamid. How to Draw with Math. Scientific American (blog). 9 January 2017.
- 53.Naderi Yeganeh, Hamid. Drawing Birds in Flight With Mathematics. Huffington Post (blog). 12 January 2016.
- 54.Naderi Yeganeh, Hamid. Drawing Human Faces With Mathematics. Huffington Post (blog). 8 March 2016.
- 55.Antonick, Gary. The Candy Store. The New York Times. 6 June 2016.
- 56.Von Formeln und Vögeln. Spektrum der Wissenschaft. 05/2021. 47. 4 February 2021. 0170-2971.
- 57.Baugher, Janée J. The Ekphrastic Writer: Creating Art-Influenced Poetry, Fiction and Nonfiction. McFarland and Company, Inc., Publishers. 56. 2020. 9781476639611.
- 58.Sharif University of Technology Public Relations. انتشار اثر دانشجوی صنعتی شریف در ماهنامه ریاضی. Telegram.
- 59.Naderi Yeganeh, Hamid. Pictures from Networks of Mathematical Functions. Math Horizons. 32. 1. 22–23. 2 January 2025. 1072-4117.
- 60.Martel, Rags. Mathematician creates eye-catching art using equations. ITV News. March 11, 2025.
- 61.Mathematician creates eye-catching art using equations (Video). ITV News.
- 62.Baddou, Ali. La Grande Galerie Francophone - Saison 2025 Épisode 17. TV5Monde. February 13, 2026.
- 63.American Mathematical Society. Mathematical Concepts Illustrated by Hamid Naderi Yeganeh.
- 64.Mellow, Glendon. Mathematically Precise Crosshatching. Scientific American (blog). 6 August 2015.
- 65.Chulalongkorn University. เมื่อคณิตศาสตร์ถูกสร้างเป็นภาพศิลปะ. Faculty of Fine and Applied Arts.
- 66.American Mathematical Society (2026). Hamid Naderi Yeganeh: Mathematical Art. Providence, RI: American Mathematical Society. Available at: https://www.ams.org/publicoutreach/math-imagery/yeganeh. Accessed 4 Jan 2026.
- 67.Gutiérrez Gómez, Margarita. Artemáticas. Letrame Grupo Editorial. 135. 2023. 978-84-1144-491-0.
- 68.Antonick, Gary. The Tax Collector. The New York Times (blog). 13 April 2015.
- 69.mathmunch.org. Continents, Math Explorers' Club, and "I use math for…". April 2015.
- 70.The De Morgan Forum – London Mathematical Society. Hamid Naderi Yeganeh: Fractal Africa. 21 September 2016.
- 71.با دنیای آدم های نابغه آشنا شویم، داوینچی ایرانی با فرمول ریاضی تابلو می کشد. اصفهان زیبا. 20 October 2015.
- 72.خلق آثار هنری به وسیله ی فرمول های ریاضی. Newsletter of Iranian Mathematical Society. 36. 3. Autumn 2015.
- 73.McDonald, Glenn. Math Artist Finds the Beauty in Equations: Photos. Seeker. 14 April 2016.
- 74.Ouellette, Jennifer. Physics Week in Review: February 28, 2015. Scientific American. 28 February 2015.
- 75.Paul, James. Mathematician Draws Sea Waves With Equations; Amused Internet Has Plenty Of Questions. Mashable India. 12 April 2024.
- 76.The Art Of Maths. TOOL 7: A SYNCHRONOUS EXHIBITION OF ARTMATH MASTERPIECES. 9. January 2020.
- 77.Antonick, Gary. John Conway's Wizard Puzzle. The New York Times. 10 August 2015.
- 78.Art ∩ Math. CoCA Seattle.
- 79.The Intersection of Art + Math Exhibit Schack Art Center. www.schack.org.
- 80.LASER Talks in Tehran. Leonardo/ISAST.
- 81.Gallant, Amanda. 200 years of Mathematics at UCL Faculty of Mathematical & Physical Sciences. University College London. 2026-06-10.
- 82.Math genius and artist: Is this the next da Vinci?. CNN. 17 September 2015.
- 83.American Mathematical Society. AMS: Math Digest – September 2015: On Hamid Naderi Yeganeh's mathematical art.
- 84.هل هذا الطالب الإيراني هو خليفة ليوناردو دافنشي؟. CNN Arabic. 21 September 2015.
- 85.Asia Society Philippines. Iranian student Hamid Naderi Yeganeh reveals the beauty of Math through Art. Facebook. 25 September 2015.
- 86.수학적 아름다움, 프랙털 아트의 세계. Sciencetimes. 8 December 2020.
- 87.National Museum of Mathematics. Hamid Naderi Yeganeh takes graphing art to the next level! . Facebook. 26 September 2015.
- 88.Another reason that #math wins – Drawing Human Faces With Mathematics. 707596312372359168. 9 March 2016.
- 89.Inspiring Mathematics and Science in Teacher Education. Resources. 7 July 2016.
- 90.Hamid Naderi Yeganeh is a mathematical artist who's created plant images by trigonometric functions. See more of. 691946140745494528. 26 January 2016.
- 91.Barbour Design Inc. The Beauty of Math. 5 April 2016.
- 92.Watch the beauty of trigonometric functions come alive. 868120851195023360. 26 May 2017.
- 93.Beautiful math. 923552360705732608. 26 October 2017.
- 94.Create stunning symmetrical images armed with a few equations & a computer . 843939659394637824. 21 March 2017.
- 95.Cook, Katherine. Art N Math. Center on Contemporary Art. 13 March 2018. 9780999081921.
- 96.The Power of Mathematics is Unlimited!. Mathnasium. 26 September 2015.
- 97.The Dong-a Ilbo. 그래프의 화려한 변신. 수학동아 (Dong-A Mathematics). 082. 62–65. July 2016. 2092-6693.
- 98.Knowles, Elizabeth. When Math Transforms into Art. The Science Explorer. LabX Media Group. 3 February 2016.
- 99.Pedersen, Alex. CREATORS – HAMID NADERI YEGANEH. Art the Science. 18 May 2016.
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