Space-filling Tilings

“One of the Coolest Mathematical Discoveries of 2024” – Scientific American.

Krisztina Regős   
Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

↓ I preferred working on residential buildings, as they are designed according to strict, rational principles. However, I found the programme too artistic and was considering leaving university. ↓ It was at this point that, during a lecture—my future mentor, Gábor Domokos—, posed a question about the equilibrium positions of geometric bodies, which I managed to solve. ↓ This was followed by further questions and an ever-closer collaboration. In 2018, my thesis Geometry of Pyramids successfully confirmed a mathematical conjecture that had remained unproven for nearly 50 years. ↓ In 2022, I earned my degree without architectural design, studying the geometric model of natural forms and patterns which led to my admission to the Csonka Pál Doctoral School at the Budapest University of Technology and Economics. ↓ I joined the Morphodynamics Research Group led by Gábor Domokos, where I study natural and artificial patterns through the lens of geometry. Using mathematics to describe these patterns allows us to infer their past and even predict their future. ↓ In 2023 we managed to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. ↓ In 2024 we identified a new class of geometric shapes. The so-called soft cells are capable of filling space without gaps and corners.

Space-filling Tilings

“One of the Coolest Mathematical Discoveries of 2024” – Scientific American.

Krisztina Regős   
Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

↓ I preferred working on residential buildings, as they are designed according to strict, rational principles. However, I found the programme too artistic and was considering leaving university. ↓ It was at this point that, during a lecture—my future mentor, Gábor Domokos—, posed a question about the equilibrium positions of geometric bodies, which I managed to solve. ↓ This was followed by further questions and an ever-closer collaboration. In 2018, my thesis Geometry of Pyramids successfully confirmed a mathematical conjecture that had remained unproven for nearly 50 years. ↓ In 2022, I earned my degree without architectural design, studying the geometric model of natural forms and patterns which led to my admission to the Csonka Pál Doctoral School at the Budapest University of Technology and Economics. ↓ I joined the Morphodynamics Research Group led by Gábor Domokos, where I study natural and artificial patterns through the lens of geometry. Using mathematics to describe these patterns allows us to infer their past and even predict their future. ↓ In 2023 we managed to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. ↓ In 2024 we identified a new class of geometric shapes. The so-called soft cells are capable of filling space without gaps and corners.

Space-filling Tilings

“One of the Coolest Mathematical Discoveries of 2024” – Scientific American.

Krisztina Regős   
Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

↓ I preferred working on residential buildings, as they are designed according to strict, rational principles. However, I found the programme too artistic and was considering leaving university. ↓ It was at this point that, during a lecture—my future mentor, Gábor Domokos—, posed a question about the equilibrium positions of geometric bodies, which I managed to solve. ↓ This was followed by further questions and an ever-closer collaboration. In 2018, my thesis Geometry of Pyramids successfully confirmed a mathematical conjecture that had remained unproven for nearly 50 years. ↓ In 2022, I earned my degree without architectural design, studying the geometric model of natural forms and patterns which led to my admission to the Csonka Pál Doctoral School at the Budapest University of Technology and Economics. ↓ I joined the Morphodynamics Research Group led by Gábor Domokos, where I study natural and artificial patterns through the lens of geometry. Using mathematics to describe these patterns allows us to infer their past and even predict their future. ↓ In 2023 we managed to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. ↓ In 2024 we identified a new class of geometric shapes. The so-called soft cells are capable of filling space without gaps and corners.

Space-filling Tilings

“One of the Coolest Mathematical Discoveries of 2024” – Scientific American.

Krisztina Regős   
Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

↓ I preferred working on residential buildings, as they are designed according to strict, rational principles. However, I found the programme too artistic and was considering leaving university. ↓ It was at this point that, during a lecture—my future mentor, Gábor Domokos—, posed a question about the equilibrium positions of geometric bodies, which I managed to solve. ↓ This was followed by further questions and an ever-closer collaboration. In 2018, my thesis Geometry of Pyramids successfully confirmed a mathematical conjecture that had remained unproven for nearly 50 years. ↓ In 2022, I earned my degree without architectural design, studying the geometric model of natural forms and patterns which led to my admission to the Csonka Pál Doctoral School at the Budapest University of Technology and Economics. ↓ I joined the Morphodynamics Research Group led by Gábor Domokos, where I study natural and artificial patterns through the lens of geometry. Using mathematics to describe these patterns allows us to infer their past and even predict their future. ↓ In 2023 we managed to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. ↓ In 2024 we identified a new class of geometric shapes. The so-called soft cells are capable of filling space without gaps and corners.

Space-filling Tilings

“One of the Coolest Mathematical Discoveries of 2024” – Scientific American.

Krisztina Regős   
Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős   Krisztina Regős
Perspective   
Perspective   Perspective   Perspective   Perspective   Perspective   Perspective

↓ I preferred working on residential buildings, as they are designed according to strict, rational principles. However, I found the programme too artistic and was considering leaving university. ↓ It was at this point that, during a lecture—my future mentor, Gábor Domokos—, posed a question about the equilibrium positions of geometric bodies, which I managed to solve. ↓ This was followed by further questions and an ever-closer collaboration. In 2018, my thesis Geometry of Pyramids successfully confirmed a mathematical conjecture that had remained unproven for nearly 50 years. ↓ In 2022, I earned my degree without architectural design, studying the geometric model of natural forms and patterns which led to my admission to the Csonka Pál Doctoral School at the Budapest University of Technology and Economics. ↓ I joined the Morphodynamics Research Group led by Gábor Domokos, where I study natural and artificial patterns through the lens of geometry. Using mathematics to describe these patterns allows us to infer their past and even predict their future. ↓ In 2023 we managed to detect molecular patterns that are not even visible with an electron microscope, but are vital for research in materials science. ↓ In 2024 we identified a new class of geometric shapes. The so-called soft cells are capable of filling space without gaps and corners.