Mircea Petrache

@MirceaSci

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

Chile
Joined October 2019

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  1. Pinned Tweet
    29 Nov 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. Feb 1
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  3. Jan 26

    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. Retweeted
    Jan 26

    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. Retweeted
    Jan 21
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  6. Jan 18

    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. Retweeted
    Jan 14

    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. Retweeted
    Jan 14

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

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  9. Jan 10

    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. Jan 8

    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. Retweeted
    Jan 7

    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. Jan 8

    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. Jan 7

    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. Retweeted
    Jan 6

    Scanning across the microscopic landscape of a liquid crystal

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  15. Retweeted
    Jan 6

    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. Retweeted
    Jan 5

    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. Jan 4

    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. Jan 3

    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. Jan 2

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

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  20. Jan 2

    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. Retweeted

    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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