Chaim Goodman-Strauss en la UNAM

Conferencias y talleres para público universitario

Chaim estará visitando la UNAM en abril 2026 e impartirá talleres y conferencias durante su visita. 

Todas las actividades se llevarán a cabo en inglés.

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Chaim Goodman-Strauss trabaja en el National Museum of Mathematics en Nueva York. Su investigación es en geometría convexa y en el estudio de teselaciones aperiódicas. Es coautor de los libros ” The Symmetries of Things” y "The Magic Theorem", así como de los artículos que han transformado el área,  "An Aperiodic Monotile" y "A chiral aperiodic monotile".

Más información en:

https://sites.google.com/im.unam.mx/chaim-en-la-unam

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PROGRAMA COMPLETO

CONFERENCIA

“The Way the World Fits Together (Tiling 1)”
Dirigida a público interesado
Jueves 16 de abril | 13:00 horas
Sede: Auditorio del Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas (IIMAS), UNAM

Resumen:
The recently discovered “Hat” monotile reminds us that small gadgets, fitting together by local interactions can give rise to fantastic complexity, even in recreational mathematics! Across the sciences and mathematics, as fragments of formal logic, symbols in a computer language, or proteins, all producing irreducible complexity when combined by simple proscribed rules. We’ll discuss the source of this in combinatorial tiling puzzles. For a sample, try to decide whether or not you can use copies of this tile to cover the entire plane!

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CONFERENCIA

“The Magic Theorem”
Dirigida a estudiantes de licenciatura

(Traer tijeras y cinta adhesiva)
Lunes 20 de abril | 12:00 horas
Sede: Auditorio Alberto Barajas, Facultad de Ciencias, UNAM

Resumen:
We are surrounded by an amazing variety of geometric repeating patterns on our clothes, floors, buildings -- where there is a surface, people will decorate it. To a mathematician, though, there are only a few ways patterns are put together. In this presentation we'll learn how the Magic Theorem sorts out the possible symmetry types, using only a simple arithmetic count. We'll apply the Magic Theorem to recognize the mathematical type of repeating patterns -- and then we'll explore new methods of creating patterns using paper-and-scissors topology.

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CONFERENCIA

“Matching Rules for Rep-tiles (Tiling 2)”
Dirigida a público interesado
Jueves 23 de abril | 16:30 horas
Sede: Salón de Seminarios Graciela Salicrup, Instituto de Matemáticas, UNAM

Resumen:
Four copies of this L-shape can be fitted together to form a larger L-shape; four of those can be fitted into a larger L still, and so on ad infinitum, in the end producing a non-periodic, hierarchical tiling of the plane. But this L-shape can form lots of other kinds of patterns too — how can we enforce this hierarchical structure? Today there are a few dozen specific examples (most famously the Penrose tiles and the Hat monotile) and a series of general constructions (Mozes '89, GS '98, Fernique-Ollinger '10), but these are not widely understood. We aim to demystify these methods with a simple to state and easy to prove lemma that applies to each of these constructions  (pushing the hard work into showing the hypotheses of the lemma hold in whatever setting we are considering).

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*TALLER 

“Paper and Scissors Mathematics”
Dirigido a docentes de bachillerato
(Traer tijeras y cinta adhesiva)
Registro obligatorio: https://forms.gle/FGKJ1bwCS6SJDbAr6
Lunes 27 de abril | 12:00 horas
Sede: Auditorio Nápoles Gándara, Instituto de Matemáticas, UNAM

Resumen:
Let's play with geometry, surfaces, combinatorics, symmetry and more, with paper, scissors, markers and tape, all classroom tested and ready to share!
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TALLER

“Paper and Scissors Topology (Outreach)”
Dirigido a personal académico y estudiantes
(Traer tijeras y cinta adhesiva)
Miércoles 29 de abril | 16:00 horas
Sede: Salón de Seminarios Graciela Salicrup, Instituto de Matemáticas, UNAM

Resumen:
Let's play with surfaces, differential geometry, combinatorics, symmetry and more, with paper, scissors, markers and tape, all ready to share!