Mircea Petrache

@MirceaSci

I do maths of point configurations, their quantitative properties & geometry.

Chile
Vrijeme pridruživanja: listopad 2019.

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  1. Prikvačeni tweet
    29. stu 2019.

    Come to London on 20-24 July 2020 ! Learn about point configurations ! ! "Point configurations: deformations and rigidity" a maths research school on * material science / elasticity * potential theory / approximation * modular forms / linear programming

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  2. 1. velj
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  3. 27. sij

    Looking for advice or strategy ideas for an early career researcher on how to keep competitive while changing fields! It's risky to go "all in" in a new direction and leave the comfort zone behind, whereas keeping your feet in two areas could make you uncompetitive in both..

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  4. proslijedio/la je Tweet
    26. sij

    Krebs cycle part 2: malic acid crystals. This compound is also responsible for apples being sour (malic comes from the Latin for apple)

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  5. proslijedio/la je Tweet
    22. sij
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  6. 18. sij

    Their choreography looks so cool. I think the individual rules are: "try to go down to eat without pushing, while staying on frontline and close to neighbors, and when the group almost passes you, get back up" This makes this awesome ghostly shape...

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  7. proslijedio/la je Tweet
    15. sij

    Take a 600-cell in 4D with 120 vertices ±v_i, i=1…60 Define F(x)=𝚷_i v_i·x Stereographically project F from a 4-sphere to 3D, then Fourier-transform from momentum space to position space. Result: this hydrogen wave function, with energy level n=61.

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  8. proslijedio/la je Tweet
    15. sij

    Menthol crystals. This is what the smell of mint looks like.

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  9. 10. sij

    Usually I hate riddles like this that work only in the decimal system. This one is not perfect but much better, because it also works in basis 6,8,.. (any even number >4, while bases 2, 4 are also morally ok for me even though you have to change a bit the statement).

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  10. 8. sij

    A "pyramid" in the shape of a regular tetrahedron of side 1 casts a shadow which happens to be an equilateral triangle as in figure. What's the distance between the tip of the pyramid and the tip of its shadow?

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  11. proslijedio/la je Tweet
    8. sij

    I just learned from that you could (in principle) construct any finite stage of the Koch snowflake by: • folding a square of paper • making a single cut • unfolding. Link to ’s paper version:

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  12. 8. sij

    A math term has been well-chosen when people use it in the correct setting without wanting to .. Just heard sbdy say "this doesn't happen generically for ALL Lagrangians, they are very special" (then they realized they were talking about "special Lagrangians")

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  13. 7. sij

    X be the cuboctahedron (see picture) A subset Y of X's vertices "traps the center" if any small perturbation of the center of X would decrease its distance to at least one point of Y. In order to trap the center, Y must have at least 6 vertices. Can you find all 6-vertex Y's?

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  14. proslijedio/la je Tweet
    7. sij

    Scanning across the microscopic landscape of a liquid crystal

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  15. proslijedio/la je Tweet
    6. sij

    Se entregan sugerencias para construir un sistema de Ciencia y Tecnología descentralizado, equitativo e inclusivo. Urgente!! Esa tríada debería ser parte de todas las propuestas que se hagan en adelante en todos los ámbitos.

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  16. proslijedio/la je Tweet
    5. sij

    TIL: The only known polyhedron, other than the Tetrahedron, in which each face shares an edge with every other face is the Szilassi polyhedron (a heptahedron -- each face being a hexagon, none regular). The existence of such creatures with more than 7 faces is an open problem.

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  17. 5. sij

    If you were to choose an answer amongst the below, uniformly at random, what'd be your chance of being correct? (Poll based on post by )

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  18. 3. sij

    Uhh.. seems that out of 3 voters, only 1 got it right.. here's a drawing of some of the cases:

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  19. 2. sij

    "nt" was supposed to be "emergent", (typing in the gym makes more typos pop up, is my excuse)

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  20. 2. sij

    nice history of how the nt behaviour of "the simplest model takes over" affected the nomenclature in the biological emergent phenomena community

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  21. proslijedio/la je Tweet
    21. pro 2019.

    We have a fully funded PhD position available on an exciting project "Thermoregulation and ventilation in termite nests: Towards bio-inspired solutions to design energy efficient buildings". Here are the details:

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