Hamid Naderi Yeganeh

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.

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.

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.

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 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.

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.

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.