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Dos personas están en estado grave en Wiltshire, sur de Inglaterra, tras ser halladas inconscientes a causa de una sustancia desconocida

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Un grupo de diez soldados liderados por un médico militar acompañan a los doce niños y su monitor atrapados desde hace once días en el interior de una cueva parcialmente inundada del norte de Tailandia, informaron hoy fuentes oficiales.

from Red Blob Games

Hexagonal grids are used in some games but aren’t quite as straightforward or common as square grids. I’ve been collecting hex grid resources for over 20 years, and wrote this guide to the most elegant approaches that lead to the simplest code, largely based on the guides by MJUS Cowboy/Biker boots medusa su662Icvg
and Clark Verbrugge . I’ll describe the various ways to make hex grids, the relationships between them, as well as some common algorithms. Most parts of this page are interactive.

The code samples on this page are written in pseudo-code; they’re meant to be easy to read and understand. The implementation guide has code in C++, Javascript, C#, Python, Java, Typescript, and more.

# Geometry

Hexagons are 6-sided polygons. hexagons have all the sides the same length. I’ll assume all the hexagons we’re working with here are regular. The typical orientations for hex grids are vertical columns () and horizontal rows ().

Hexagons have 6 sides and 6 corners. Each side is shared by 2 hexagons. Each corner is shared by 3 hexagons. For more about centers, sides, and corners, see my article on grid parts (squares, hexagons, and triangles).

In a regular hexagon the interior angles are 120°. There are six “wedges”, each an equilateral triangle with 60° angles inside. Each corner is units away from the . In code:

To fill a hexagon, gather the polygon vertices at through . To draw a hexagon outline, use those vertices, and then draw a line back to .

The difference between the two orientations is a rotation, and that causes the angles to change: angles are 0°, 60°, 120°, 180°, 240°, 300° and angles are 30°, 90°, 150°, 210°, 270°, 330°. Note that the diagrams on this page use the y axis pointing (angles increase clockwise); you may have to make some adjustments if your y axis points up (angles increase counterclockwise).

Size and Spacing #

Next we want to put several hexagons together. In the pointy orientation, a hexagon has width and height . The sqrt(3) comes from sin(60°).

The horizontal distance between adjacent hexagon centers is . The vertical distance between adjacent hexagon centers is .

Some games use pixel art for hexagons that does not match an exactly regular polygon. The angles and spacing formulas I describe in this section won’t match the sizes of your hexagons. The rest of the article, describing algorithms on hex grids, will work even if your hexagons are stretched or shrunk a bit, and I explain on the implementation page how to handle stretching.

Now let’s assemble hexagons into a grid. With square grids, there’s one obvious way to do it. With hexagons, there are multiple approaches. I like cube coordinates for algorithms and axial or doubled for storage.

"They have profound, meaningful experiences that can sometimes help them make new insights into their own behaviors and also to reconnect with their values and priorities in terms of what’s important to them in the grander scheme of things," Albert Garcia-Romeu, another Johns Hopkins researcher, said. "When they have those kinds of experiences, it seems to be helpful for people to be able to make behavior changes down the line, like quitting smoking."

And here’s what really remarkable: In the studies, it only seemed to take one or two doses to produce months of benefits. Unlike psychiatric medications that require regular, often daily doses, psilocybin treatment — if it really works — appears to require just one or two sessions with one dose of the drug to have a months-long impact.

Michael Pollan wrote of some participants’ powerful experiences in an illuminating look at the research for the New Yorker :

Death looms large in the journeys taken by the cancer patients. A woman I'll call Deborah Ames, a breast-cancer survivor in her sixties (she asked not to be identified), described zipping through space as if in a video game until she arrived at the wall of a crematorium and realized, with a fright, "I’ve died and now I’m going to be cremated. The next thing I know, I’m below the ground in this gorgeous forest, deep woods, loamy and brown. There are roots all around me and I’m seeing the trees growing, and I’m part of them. It didn’t feel sad or happy, just natural, contented, peaceful. I wasn’t gone. I was part of the earth." Several patients described edging up to the precipice of death and looking over to the other side. Tammy Burgess, given a diagnosis of ovarian cancer at fifty-five, found herself gazing across "the great plain of consciousness. It was very serene and beautiful. I felt alone but I could reach out and touch anyone I’d ever known. When my time came, that’s where my life would go once it left me and that was O.K."

It might sound pseudoscientific. But drug policy experts and researchers say that if the experience helps people, even if it’s not founded on the most logical grounds, it should be taken seriously.

Spiritual experiences "have been part of humanity for thousands and thousands of years," Sameet Kumar, a doctor who L Autre Chose 35MM LACEUP LEATHER ANKLE BOOTS joS0kO
, said. "Instead of blowing them off, let’s try to understand them. What’s going on here? This is part of the human experience — a very relevant and meaningful part of the human experience. And now we have these tools to study how certain sacramental elements that are found in nature and that can be synthesized … can be used for good."

A new set of studies , published in The Journal of Psychopharmacology , which had some of the largest sample sizes in the psychedelic research so far, showed the potential. The patients, which totaled 80 in both studies combined, all had advanced cancer and end-of-life anxiety or depression, driven in large part by their looming deaths. After a psilocybin treatment session, most of the patients — as many as 80 percent —generally showed improvements on metrics used to evaluate mood, depression, and anxiety.

Wildlife Alliance, founded in 1995 originally as the Global Survival Network, is an international 501(c)(3) non-profit organization with current in-country programs in Cambodia and completed projects in Thailand, Myanmar, India, Ecuador and Russia.

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