Krisztina Regős

Born in 1998, Szeged. Exported as a mathematician. Currently PhD Researcher at HUN-REN-BME Morphodynamics Research Group.

Space-filling Tilings   
Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

Manifesto ↓

We are surrounded by space-filling patterns every day: just think of the patterns visible on a masonry wall, a map, a beehive, or a cracked rock surface. In my work, I examine these natural and artificial patterns through the lens of discrete geometry. The advantage of mathematical description is that it reveals general relationships that allow us to infer the past or even the future of such patterns from their current state.

My advice to you, architecture students at the start of your careers, is to keep your eyes open already while at university and look for opportunities, either within the profession or a little further, which go beyond your studies. The university holds much more potential than just a degree: whether it’s research opportunities, writing and presenting a paper for the Scientific Student Conference, entering student design competitions, tours of buildings, architecture camps or self-organised circles where you can find your new favourite hobbies. Here you can encounter the field that will define your career and help you find the segment of architecture that appeals to you most. You can do much more with a degree in architecture than you think, so don’t wait for these options to come to you, try your hand at as many interdisciplinary areas as possible! – Krisztina Regős

Career path ↓

Having started her studies in architecture at the Budapest University of Technology and Economics in 2016, Krisztina Regős first found her vocation in tutoring her peers and designing residential buildings, where, according to her, “a well-functioning building is conceived by very rational considerations.” She found the university framework too artistic and she missed mathematics, so she wanted to leave the training. Eventually, solving the mathematical puzzle of architect Gábor Domokos – one of the creators of the Gömböc – led her towards a field she has felt her own ever since. In one of the classes, Domokos, her future mentor, asked a difficult geometrical question – not organically related to the material. Having participated in many science competitions as a high school student, Krisztina loved such puzzles and managed to solve the problem, which was followed by more puzzles and an ever closer collaboration. In her paper Geometry of Pyramids, a quest for so-called monostatic convex polyhedra – ones that have only a single state of stable or unstable equilibrium –, she managed to prove a mathematical conjecture that had remained unproven for almost 50 years. She graduated in 2022 – uniquely without producing architectural design – with a thesis examining geometric models of natural forms and patterns. Her thesis was rewarded with the Hauszmann Award, which won her admittance to the Pál Csonka Doctoral School of the BME, where she is a member of the HUN-REN-BME Morphodynamics Research Group led by Gábor Domokos, working towards understanding naturally occurring forms and the processes that create and shape them. In 2023, she was the lead author of a paper published in the Proceedings of the National Academy of Sciences, in which geometry alone was used to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. One of the co-authors of the study was Nobel Prize-winning physicist K. S. Novoselov. In 2024, she participated in the identification of a new class of geometric shapes in collaboration with her Hungarian colleagues and a researcher at the University of Oxford. The so-called soft cells are capable of filling space without gaps and without corners. They can be found in various forms in nature, but in addition to biology and materials science, they can also be discovered in the work of architects such as Zaha Hadid. The study, published in PNAS Nexus, was reported as a top story in Nature and called the most interesting mathematical discovery of 2024 by Scientific American.

Krisztina Regős

Born in 1998, Szeged. Exported as a mathematician. Currently PhD Researcher at HUN-REN-BME Morphodynamics Research Group.

Space-filling Tilings   
Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

Manifesto ↓

We are surrounded by space-filling patterns every day: just think of the patterns visible on a masonry wall, a map, a beehive, or a cracked rock surface. In my work, I examine these natural and artificial patterns through the lens of discrete geometry. The advantage of mathematical description is that it reveals general relationships that allow us to infer the past or even the future of such patterns from their current state.

My advice to you, architecture students at the start of your careers, is to keep your eyes open already while at university and look for opportunities, either within the profession or a little further, which go beyond your studies. The university holds much more potential than just a degree: whether it’s research opportunities, writing and presenting a paper for the Scientific Student Conference, entering student design competitions, tours of buildings, architecture camps or self-organised circles where you can find your new favourite hobbies. Here you can encounter the field that will define your career and help you find the segment of architecture that appeals to you most. You can do much more with a degree in architecture than you think, so don’t wait for these options to come to you, try your hand at as many interdisciplinary areas as possible! – Krisztina Regős

Career path ↓

Having started her studies in architecture at the Budapest University of Technology and Economics in 2016, Krisztina Regős first found her vocation in tutoring her peers and designing residential buildings, where, according to her, “a well-functioning building is conceived by very rational considerations.” She found the university framework too artistic and she missed mathematics, so she wanted to leave the training. Eventually, solving the mathematical puzzle of architect Gábor Domokos – one of the creators of the Gömböc – led her towards a field she has felt her own ever since. In one of the classes, Domokos, her future mentor, asked a difficult geometrical question – not organically related to the material. Having participated in many science competitions as a high school student, Krisztina loved such puzzles and managed to solve the problem, which was followed by more puzzles and an ever closer collaboration. In her paper Geometry of Pyramids, a quest for so-called monostatic convex polyhedra – ones that have only a single state of stable or unstable equilibrium –, she managed to prove a mathematical conjecture that had remained unproven for almost 50 years. She graduated in 2022 – uniquely without producing architectural design – with a thesis examining geometric models of natural forms and patterns. Her thesis was rewarded with the Hauszmann Award, which won her admittance to the Pál Csonka Doctoral School of the BME, where she is a member of the HUN-REN-BME Morphodynamics Research Group led by Gábor Domokos, working towards understanding naturally occurring forms and the processes that create and shape them. In 2023, she was the lead author of a paper published in the Proceedings of the National Academy of Sciences, in which geometry alone was used to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. One of the co-authors of the study was Nobel Prize-winning physicist K. S. Novoselov. In 2024, she participated in the identification of a new class of geometric shapes in collaboration with her Hungarian colleagues and a researcher at the University of Oxford. The so-called soft cells are capable of filling space without gaps and without corners. They can be found in various forms in nature, but in addition to biology and materials science, they can also be discovered in the work of architects such as Zaha Hadid. The study, published in PNAS Nexus, was reported as a top story in Nature and called the most interesting mathematical discovery of 2024 by Scientific American.

Krisztina Regős

Born in 1998, Szeged. Exported as a mathematician. Currently PhD Researcher at HUN-REN-BME Morphodynamics Research Group.

Space-filling Tilings   
Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

Manifesto ↓

We are surrounded by space-filling patterns every day: just think of the patterns visible on a masonry wall, a map, a beehive, or a cracked rock surface. In my work, I examine these natural and artificial patterns through the lens of discrete geometry. The advantage of mathematical description is that it reveals general relationships that allow us to infer the past or even the future of such patterns from their current state.

My advice to you, architecture students at the start of your careers, is to keep your eyes open already while at university and look for opportunities, either within the profession or a little further, which go beyond your studies. The university holds much more potential than just a degree: whether it’s research opportunities, writing and presenting a paper for the Scientific Student Conference, entering student design competitions, tours of buildings, architecture camps or self-organised circles where you can find your new favourite hobbies. Here you can encounter the field that will define your career and help you find the segment of architecture that appeals to you most. You can do much more with a degree in architecture than you think, so don’t wait for these options to come to you, try your hand at as many interdisciplinary areas as possible! – Krisztina Regős

Career path ↓

Having started her studies in architecture at the Budapest University of Technology and Economics in 2016, Krisztina Regős first found her vocation in tutoring her peers and designing residential buildings, where, according to her, “a well-functioning building is conceived by very rational considerations.” She found the university framework too artistic and she missed mathematics, so she wanted to leave the training. Eventually, solving the mathematical puzzle of architect Gábor Domokos – one of the creators of the Gömböc – led her towards a field she has felt her own ever since. In one of the classes, Domokos, her future mentor, asked a difficult geometrical question – not organically related to the material. Having participated in many science competitions as a high school student, Krisztina loved such puzzles and managed to solve the problem, which was followed by more puzzles and an ever closer collaboration. In her paper Geometry of Pyramids, a quest for so-called monostatic convex polyhedra – ones that have only a single state of stable or unstable equilibrium –, she managed to prove a mathematical conjecture that had remained unproven for almost 50 years. She graduated in 2022 – uniquely without producing architectural design – with a thesis examining geometric models of natural forms and patterns. Her thesis was rewarded with the Hauszmann Award, which won her admittance to the Pál Csonka Doctoral School of the BME, where she is a member of the HUN-REN-BME Morphodynamics Research Group led by Gábor Domokos, working towards understanding naturally occurring forms and the processes that create and shape them. In 2023, she was the lead author of a paper published in the Proceedings of the National Academy of Sciences, in which geometry alone was used to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. One of the co-authors of the study was Nobel Prize-winning physicist K. S. Novoselov. In 2024, she participated in the identification of a new class of geometric shapes in collaboration with her Hungarian colleagues and a researcher at the University of Oxford. The so-called soft cells are capable of filling space without gaps and without corners. They can be found in various forms in nature, but in addition to biology and materials science, they can also be discovered in the work of architects such as Zaha Hadid. The study, published in PNAS Nexus, was reported as a top story in Nature and called the most interesting mathematical discovery of 2024 by Scientific American.

Krisztina Regős

Born in 1998, Szeged. Exported as a mathematician. Currently PhD Researcher at HUN-REN-BME Morphodynamics Research Group.

Space-filling Tilings   
Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

Manifesto ↓

We are surrounded by space-filling patterns every day: just think of the patterns visible on a masonry wall, a map, a beehive, or a cracked rock surface. In my work, I examine these natural and artificial patterns through the lens of discrete geometry. The advantage of mathematical description is that it reveals general relationships that allow us to infer the past or even the future of such patterns from their current state.

My advice to you, architecture students at the start of your careers, is to keep your eyes open already while at university and look for opportunities, either within the profession or a little further, which go beyond your studies. The university holds much more potential than just a degree: whether it’s research opportunities, writing and presenting a paper for the Scientific Student Conference, entering student design competitions, tours of buildings, architecture camps or self-organised circles where you can find your new favourite hobbies. Here you can encounter the field that will define your career and help you find the segment of architecture that appeals to you most. You can do much more with a degree in architecture than you think, so don’t wait for these options to come to you, try your hand at as many interdisciplinary areas as possible! – Krisztina Regős

Career path ↓

Having started her studies in architecture at the Budapest University of Technology and Economics in 2016, Krisztina Regős first found her vocation in tutoring her peers and designing residential buildings, where, according to her, “a well-functioning building is conceived by very rational considerations.” She found the university framework too artistic and she missed mathematics, so she wanted to leave the training. Eventually, solving the mathematical puzzle of architect Gábor Domokos – one of the creators of the Gömböc – led her towards a field she has felt her own ever since. In one of the classes, Domokos, her future mentor, asked a difficult geometrical question – not organically related to the material. Having participated in many science competitions as a high school student, Krisztina loved such puzzles and managed to solve the problem, which was followed by more puzzles and an ever closer collaboration. In her paper Geometry of Pyramids, a quest for so-called monostatic convex polyhedra – ones that have only a single state of stable or unstable equilibrium –, she managed to prove a mathematical conjecture that had remained unproven for almost 50 years. She graduated in 2022 – uniquely without producing architectural design – with a thesis examining geometric models of natural forms and patterns. Her thesis was rewarded with the Hauszmann Award, which won her admittance to the Pál Csonka Doctoral School of the BME, where she is a member of the HUN-REN-BME Morphodynamics Research Group led by Gábor Domokos, working towards understanding naturally occurring forms and the processes that create and shape them. In 2023, she was the lead author of a paper published in the Proceedings of the National Academy of Sciences, in which geometry alone was used to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. One of the co-authors of the study was Nobel Prize-winning physicist K. S. Novoselov. In 2024, she participated in the identification of a new class of geometric shapes in collaboration with her Hungarian colleagues and a researcher at the University of Oxford. The so-called soft cells are capable of filling space without gaps and without corners. They can be found in various forms in nature, but in addition to biology and materials science, they can also be discovered in the work of architects such as Zaha Hadid. The study, published in PNAS Nexus, was reported as a top story in Nature and called the most interesting mathematical discovery of 2024 by Scientific American.

Krisztina Regős

Born in 1998, Szeged. Exported as a mathematician. Currently PhD Researcher at HUN-REN-BME Morphodynamics Research Group.

Space-filling Tilings   
Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings   Space-filling Tilings
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

Manifesto ↓

We are surrounded by space-filling patterns every day: just think of the patterns visible on a masonry wall, a map, a beehive, or a cracked rock surface. In my work, I examine these natural and artificial patterns through the lens of discrete geometry. The advantage of mathematical description is that it reveals general relationships that allow us to infer the past or even the future of such patterns from their current state.

My advice to you, architecture students at the start of your careers, is to keep your eyes open already while at university and look for opportunities, either within the profession or a little further, which go beyond your studies. The university holds much more potential than just a degree: whether it’s research opportunities, writing and presenting a paper for the Scientific Student Conference, entering student design competitions, tours of buildings, architecture camps or self-organised circles where you can find your new favourite hobbies. Here you can encounter the field that will define your career and help you find the segment of architecture that appeals to you most. You can do much more with a degree in architecture than you think, so don’t wait for these options to come to you, try your hand at as many interdisciplinary areas as possible! – Krisztina Regős

Career path ↓

Having started her studies in architecture at the Budapest University of Technology and Economics in 2016, Krisztina Regős first found her vocation in tutoring her peers and designing residential buildings, where, according to her, “a well-functioning building is conceived by very rational considerations.” She found the university framework too artistic and she missed mathematics, so she wanted to leave the training. Eventually, solving the mathematical puzzle of architect Gábor Domokos – one of the creators of the Gömböc – led her towards a field she has felt her own ever since. In one of the classes, Domokos, her future mentor, asked a difficult geometrical question – not organically related to the material. Having participated in many science competitions as a high school student, Krisztina loved such puzzles and managed to solve the problem, which was followed by more puzzles and an ever closer collaboration. In her paper Geometry of Pyramids, a quest for so-called monostatic convex polyhedra – ones that have only a single state of stable or unstable equilibrium –, she managed to prove a mathematical conjecture that had remained unproven for almost 50 years. She graduated in 2022 – uniquely without producing architectural design – with a thesis examining geometric models of natural forms and patterns. Her thesis was rewarded with the Hauszmann Award, which won her admittance to the Pál Csonka Doctoral School of the BME, where she is a member of the HUN-REN-BME Morphodynamics Research Group led by Gábor Domokos, working towards understanding naturally occurring forms and the processes that create and shape them. In 2023, she was the lead author of a paper published in the Proceedings of the National Academy of Sciences, in which geometry alone was used to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. One of the co-authors of the study was Nobel Prize-winning physicist K. S. Novoselov. In 2024, she participated in the identification of a new class of geometric shapes in collaboration with her Hungarian colleagues and a researcher at the University of Oxford. The so-called soft cells are capable of filling space without gaps and without corners. They can be found in various forms in nature, but in addition to biology and materials science, they can also be discovered in the work of architects such as Zaha Hadid. The study, published in PNAS Nexus, was reported as a top story in Nature and called the most interesting mathematical discovery of 2024 by Scientific American.