Global Hexagonal Awareness Project
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hexagonalawareness.com
Global Hexagonal Awareness Project
@hexagonalawareness.com
74 followers 47 following 77 posts
"There is neither Jew nor Gentile, slave nor free, male nor female, for we are all one in hexagonal consciousness."

Curated by @hexagontruth.com

http://discord.gg/t6hrz7S | https://reddit.com/r/hexagons
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hexagonalawareness.com
October 20, 2025 at 10:50 AM
hexagonalawareness.com
Interesting #hexagonfact for ur Friday: Montgomery Meigs also designed Fort Jefferson in the Dry Tortugas, a beacon of hexagonal awareness in the Gulf of Mexico that contributed to the Union blockade during the Civil War. It's also apparently the largest brick structure in the Western Hemisphere.
Aerial image of Fort Jefferson on Garden Key in the Dry Tortugas in the Gulf of Mexico. A hexagonal brick fortress wall takes up most of the island, defining its edge on the right-hand side, with a shallow shoal extending further back and to the right. The hexagon is oriented pointy side up. A moat rings the fortress, transitioning to a sort of outer seawall on the right side where the fortress itself runs up against the water. Various outbuildings, docks, access roads, &c. dot the irregular strip of land to the left and front.
August 8, 2025 at 11:18 AM
hexagonalawareness.com
this is a somewhat verbose and unoptimized WGSL implementation.
fn wrapGridUnique(p: vec3i, radius: f32) -> vec3i { var r = i32(radius); var m = r * 3; var offset = i32(ceil(radius * 3 / 2.)); // Wrap to r * 3 "square" grid var u = p; u += offset; u = (u % m + m) % m; u -= offset; u.z = -u.x - u.y; // Skip all if we are safely ensconced in the grid if (amax3i(u) >= r) { // Top right if (u.x + u.y >= r && u.x >= 0 && u.y >= 0) { u += vec3i(-r, -r, r * 2); } // Bottom left else if (u.x + u.y < -r && u.x < 0 && u.y < 0) { u += vec3i(r, r, -r * 2); } // Top left else if (u.x < -r || u.y >= r) { if (u.z > 0) { u += vec3i(r * 2, -r, -r); } else { u += vec3i(r, -r * 2, r); } } // Bottom right else if (u.x >= r || u.y < -r) { if (u.z > 0) { u += vec3i(-r, r * 2, -r); } else { u += vec3i(-r * 2, r, r); } } } return u; }
April 10, 2025 at 1:19 AM
hexagonalawareness.com
in the orthogonal view, we can draw an n*3 square around the origin to create a repeating square pattern. it is then a simple matter of modding the coords to the square, then doing some comparisons to map them back to the central hex aka the wrapped coordinates.
square grid showing repeating pattern of unique grid cells in overlapping hexagonal grid of hexagonal cells, with hex grid radius 3. square grid showing repeating pattern of unique grid cells in overlapping hexagonal grid of hexagonal cells, with hex grid radius 4.
April 10, 2025 at 12:44 AM
hexagonalawareness.com
each corner is shared between 3 grids, and each non-corner edge between 2. so tl;dr for any grid of n radius (above example is n=3) there are n^2*3 unique cells per grid, which can be arranged as you see below (red is n=1, orange n=2, etc.). we can map these as (n*2)^2 grids with n^2 cells cut out.
a series of nested, colored hexagons indicating how cells in an a wrapping hexagonal grid with common edge cells can be mapped as a single grid of unique cells. a screenshot of a spreadsheet showing how unique cells in a wrapping grids of hexagonal cells with common edge cells can be mapped onto a square grid.
April 10, 2025 at 12:20 AM
hexagonalawareness.com
well tbh i don't understand it either. but i have encountered similar problems in the past. my recent experience was working with something like this, where each border hex is shared between two adjacent grids.
a grid of hexagonal cells within a larger hexagonal grid.
April 9, 2025 at 10:18 PM