Divulgación Matematica

Divulgación Matematica Formar y actualizar recursos humanos en el area de Matematicas y Computación de manera integral, con capacidad de enseñar, generar y aplicar conocimientos

Formar y actualizar recursos humanos de manera integral, con capacidad de enseñar, generar y aplicar conocimientos

04/08/2026

From one icosahedron, targeted edge, face and vertex operations under icosahedral symmetry produce the complete family of related Archimedean solids:

- Dual yields the dodecahedron,
- Rectification the icosidodecahedron,
- Bitruncation the truncated dodecahedron and truncated icosahedron,
- Cantellation the rhombicosidodecahedron,
- Omnitruncation the truncated icosidodecahedron, and
- Snubbing the chiral snub dodecahedron.

These same forms model the carbon cages of fullerenes such as C₆₀ and the protein shells of icosahedral viruses.
https://math1089.in/2023/06/09/40-interesting-facts-about-maths/

04/08/2026

There are two very different kinds of uncertainty. Epistemic uncertainty is uncertainty in the mind, we don't know the position of the electron because we haven't looked carefully enough, or our instruments are too crude, or the calculation is too hard. Ontic uncertainty is uncertainty in the world, the electron genuinely has no definite position, not because we can't find it, but because there is no definite position to find. Before quantum mechanics, virtually every scientist and philosopher assumed that all uncertainty was epistemic. The world was definite; our knowledge of it was not.

Heisenberg's uncertainty principle is not, as it is often misread, a statement about the clumsiness of measurement, the idea that measuring position disturbs momentum and vice versa. That interpretation is wrong, and Heisenberg himself moved away from it. The uncertainty principle is a statement about the mathematical structure of quantum states: a state with a well-defined position is a superposition of many momentum states, and a state with a well-defined momentum is spread across all positions. Position and momentum cannot both be sharp because sharpness in one is incompatible with sharpness in the other at the level of the state itself, not at the level of the measurement.

This means the uncertainty is ontic, not epistemic. It is not in our heads. It is in the electron. The electron approaching a double slit does not have a definite trajectory that we merely fail to track, it has no definite trajectory. The radioactive nucleus does not have a hidden decay time that we cannot access, it has no decay time until it decays. Quantum mechanics did not reveal that reality is more complicated than we thought. It revealed that reality is structured differently than thought itself, that the categories of definiteness and indefiniteness, which we assumed were properties of knowledge, turn out to be properties of the world. That realization has still not been fully absorbed. Most people, including most physicists, still reach instinctively for epistemic interpretations of quantum uncertainty. The universe does not share that instinct.

04/08/2026

La comunidad de la Sociedad Matemática Mexicana felicita a los estudiantes de la Facultad de Matemáticas de la Universidad Veracruzana por los resultados obtenidos en la 33 Competencia Internacional de Matemáticas para Estudiantes Universitarios (IMC, por sus siglas en inglés), organizada por la University College London y realizada en Blagoevgrad, Bulgaria del 27 de julio al 3 de agosto. 👏🤩 🎊

🥇 Emiliano Fernández Almazán, medalla de oro, lugar 6-9.
Primer mexicano en quedar en el top 10 de esta competencia

🎖️ Jesús Tadeo Cruz Soto, mención honorífica, lugar 287.

04/08/2026

🎓 HOY INICIA el Workshop: Strong Convergence, Random Matrices and Discrete Subgroups of Lie Groups.

📅 Del 3 al 7 de agosto
📌 Auditorio Nápoles Gándara del Instituto de Matemáticas de la UNAM

¡Les damos la bienvenida a todas y todos los participantes! Deseamos que sea una jornada muy enriquecedora.

El objetivo del taller es reunir a estudiantes de doctorado e investigadores que trabajan en teoría de la probabilidad y en subgrupos discretos de grupos de Lie para debatir los avances recientes en torno a la noción de convergencia fuerte para grupos discretos.

📚 El programa incluirá minicursos introductorios y charlas sobre resultados de frontera.

🔗 Más info: https://www-fourier.univ-grenoble-alpes.fr/~py/strong-cv-unam-2026.html

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