Meshgrid to be used for hexagons

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Nupur
Nupur am 16 Jun. 2023
Bearbeitet: Bruno Luong am 28 Jun. 2023
I want to use meshgrid for generating a hexagonal grid. Also I should get the cooridntes of each node in it.
  1 Kommentar
Angelo Yeo
Angelo Yeo am 16 Jun. 2023
You can refer to the comment in the URL below.
https://www.mathworks.com/matlabcentral/answers/284805-create-hexagonal-grid-with-a-central-cell

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Subhajyoti Halder
Subhajyoti Halder am 28 Jun. 2023
Ran in:
Hi Nupur,
It is my understanding, it is required to use meshgrid to generate a hexagonal grid and get the cooridntes of each node in it.
Here, I have implemented it using ‘meshgrid()’ in MATLAB R2023a.
In the below code,it is using the meshgrid function within a loop to generate the x and y coordinates for each row of the grid.
% Define the parameters of the hexagonal grid
% radius: radius of the hexagon
radius = 5;
% Number of rows in the grid
numRows = 10;
% Generate the x and y coordinates of the hexagonal grid
x = [];
y = [];
for row = 1:numRows
% xOffset, yOffset: variables to shift the coordinates of each row
% to form a hexagonal pattern.
xOffset = (mod(row, 2) * sqrt(3) / 2) * radius;
yOffset = row * (3 / 2) * radius;
% meshgrid() generates the x,y coordinates for each row of the grid.
[xRow, yRow] = meshgrid(0:radius*sqrt(3), 0:2*radius);
xRow = xRow(:)' + xOffset;
yRow = yRow(:)' + yOffset;
x = [x, xRow];
y = [y, yRow];
end
% Display the coordinates of each node in the hexagonal grid
for i = 1:numel(x)
fprintf('Node %d: (%.2f, %.2f)\n', i, x(i), y(i));
end
Node 1: (4.33, 7.50) Node 2: (4.33, 8.50) Node 3: (4.33, 9.50) Node 4: (4.33, 10.50) Node 5: (4.33, 11.50) Node 6: (4.33, 12.50) Node 7: (4.33, 13.50) Node 8: (4.33, 14.50) Node 9: (4.33, 15.50) Node 10: (4.33, 16.50) Node 11: (4.33, 17.50) Node 12: (5.33, 7.50) Node 13: (5.33, 8.50) Node 14: (5.33, 9.50) Node 15: (5.33, 10.50) Node 16: (5.33, 11.50) Node 17: (5.33, 12.50) Node 18: (5.33, 13.50) Node 19: (5.33, 14.50) Node 20: (5.33, 15.50) Node 21: (5.33, 16.50) Node 22: (5.33, 17.50) Node 23: (6.33, 7.50) Node 24: (6.33, 8.50) Node 25: (6.33, 9.50) Node 26: (6.33, 10.50) Node 27: (6.33, 11.50) Node 28: (6.33, 12.50) Node 29: (6.33, 13.50) Node 30: (6.33, 14.50) Node 31: (6.33, 15.50) Node 32: (6.33, 16.50) Node 33: (6.33, 17.50) Node 34: (7.33, 7.50) Node 35: (7.33, 8.50) Node 36: (7.33, 9.50) Node 37: (7.33, 10.50) Node 38: (7.33, 11.50) Node 39: (7.33, 12.50) Node 40: (7.33, 13.50) Node 41: (7.33, 14.50) Node 42: (7.33, 15.50) Node 43: (7.33, 16.50) Node 44: (7.33, 17.50) Node 45: (8.33, 7.50) Node 46: (8.33, 8.50) Node 47: (8.33, 9.50) Node 48: (8.33, 10.50) Node 49: (8.33, 11.50) Node 50: (8.33, 12.50) Node 51: (8.33, 13.50) Node 52: (8.33, 14.50) Node 53: (8.33, 15.50) Node 54: (8.33, 16.50) Node 55: (8.33, 17.50) Node 56: (9.33, 7.50) Node 57: (9.33, 8.50) Node 58: (9.33, 9.50) Node 59: (9.33, 10.50) Node 60: (9.33, 11.50) Node 61: (9.33, 12.50) Node 62: (9.33, 13.50) Node 63: (9.33, 14.50) Node 64: (9.33, 15.50) Node 65: (9.33, 16.50) Node 66: (9.33, 17.50) Node 67: (10.33, 7.50) Node 68: (10.33, 8.50) Node 69: (10.33, 9.50) Node 70: (10.33, 10.50) Node 71: (10.33, 11.50) Node 72: (10.33, 12.50) Node 73: (10.33, 13.50) Node 74: (10.33, 14.50) Node 75: (10.33, 15.50) Node 76: (10.33, 16.50) Node 77: (10.33, 17.50) Node 78: (11.33, 7.50) Node 79: (11.33, 8.50) Node 80: (11.33, 9.50) Node 81: (11.33, 10.50) Node 82: (11.33, 11.50) Node 83: (11.33, 12.50) Node 84: (11.33, 13.50) Node 85: (11.33, 14.50) Node 86: (11.33, 15.50) Node 87: (11.33, 16.50) Node 88: (11.33, 17.50) Node 89: (12.33, 7.50) Node 90: (12.33, 8.50) Node 91: (12.33, 9.50) Node 92: (12.33, 10.50) Node 93: (12.33, 11.50) Node 94: (12.33, 12.50) Node 95: (12.33, 13.50) Node 96: (12.33, 14.50) Node 97: (12.33, 15.50) Node 98: (12.33, 16.50) Node 99: (12.33, 17.50) Node 100: (0.00, 15.00) Node 101: (0.00, 16.00) Node 102: (0.00, 17.00) Node 103: (0.00, 18.00) Node 104: (0.00, 19.00) Node 105: (0.00, 20.00) Node 106: (0.00, 21.00) Node 107: (0.00, 22.00) Node 108: (0.00, 23.00) Node 109: (0.00, 24.00) Node 110: (0.00, 25.00) Node 111: (1.00, 15.00) Node 112: (1.00, 16.00) Node 113: (1.00, 17.00) Node 114: (1.00, 18.00) Node 115: (1.00, 19.00) Node 116: (1.00, 20.00) Node 117: (1.00, 21.00) Node 118: (1.00, 22.00) Node 119: (1.00, 23.00) Node 120: (1.00, 24.00) Node 121: (1.00, 25.00) Node 122: (2.00, 15.00) Node 123: (2.00, 16.00) Node 124: (2.00, 17.00) Node 125: (2.00, 18.00) Node 126: (2.00, 19.00) Node 127: (2.00, 20.00) Node 128: (2.00, 21.00) Node 129: (2.00, 22.00) Node 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20.00) Node 172: (6.00, 21.00) Node 173: (6.00, 22.00) Node 174: (6.00, 23.00) Node 175: (6.00, 24.00) Node 176: (6.00, 25.00) Node 177: (7.00, 15.00) Node 178: (7.00, 16.00) Node 179: (7.00, 17.00) Node 180: (7.00, 18.00) Node 181: (7.00, 19.00) Node 182: (7.00, 20.00) Node 183: (7.00, 21.00) Node 184: (7.00, 22.00) Node 185: (7.00, 23.00) Node 186: (7.00, 24.00) Node 187: (7.00, 25.00) Node 188: (8.00, 15.00) Node 189: (8.00, 16.00) Node 190: (8.00, 17.00) Node 191: (8.00, 18.00) Node 192: (8.00, 19.00) Node 193: (8.00, 20.00) Node 194: (8.00, 21.00) Node 195: (8.00, 22.00) Node 196: (8.00, 23.00) Node 197: (8.00, 24.00) Node 198: (8.00, 25.00) Node 199: (4.33, 22.50) Node 200: (4.33, 23.50) Node 201: (4.33, 24.50) Node 202: (4.33, 25.50) Node 203: (4.33, 26.50) Node 204: (4.33, 27.50) Node 205: (4.33, 28.50) Node 206: (4.33, 29.50) Node 207: (4.33, 30.50) Node 208: (4.33, 31.50) Node 209: (4.33, 32.50) Node 210: (5.33, 22.50) Node 211: (5.33, 23.50) Node 212: (5.33, 24.50) Node 213: (5.33, 25.50) Node 214: (5.33, 26.50) Node 215: (5.33, 27.50) Node 216: (5.33, 28.50) Node 217: (5.33, 29.50) Node 218: (5.33, 30.50) Node 219: (5.33, 31.50) Node 220: (5.33, 32.50) Node 221: (6.33, 22.50) Node 222: (6.33, 23.50) Node 223: (6.33, 24.50) Node 224: (6.33, 25.50) Node 225: (6.33, 26.50) Node 226: (6.33, 27.50) Node 227: (6.33, 28.50) Node 228: (6.33, 29.50) Node 229: (6.33, 30.50) Node 230: (6.33, 31.50) Node 231: (6.33, 32.50) Node 232: (7.33, 22.50) Node 233: (7.33, 23.50) Node 234: (7.33, 24.50) Node 235: (7.33, 25.50) Node 236: (7.33, 26.50) Node 237: (7.33, 27.50) Node 238: (7.33, 28.50) Node 239: (7.33, 29.50) Node 240: (7.33, 30.50) Node 241: (7.33, 31.50) Node 242: (7.33, 32.50) Node 243: (8.33, 22.50) Node 244: (8.33, 23.50) Node 245: (8.33, 24.50) Node 246: (8.33, 25.50) Node 247: (8.33, 26.50) Node 248: (8.33, 27.50) Node 249: (8.33, 28.50) Node 250: (8.33, 29.50) Node 251: (8.33, 30.50) Node 252: (8.33, 31.50) Node 253: (8.33, 32.50) Node 254: (9.33, 22.50) 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Node 337: (3.00, 36.00) Node 338: (3.00, 37.00) Node 339: (3.00, 38.00) Node 340: (3.00, 39.00) Node 341: (3.00, 40.00) Node 342: (4.00, 30.00) Node 343: (4.00, 31.00) Node 344: (4.00, 32.00) Node 345: (4.00, 33.00) Node 346: (4.00, 34.00) Node 347: (4.00, 35.00) Node 348: (4.00, 36.00) Node 349: (4.00, 37.00) Node 350: (4.00, 38.00) Node 351: (4.00, 39.00) Node 352: (4.00, 40.00) Node 353: (5.00, 30.00) Node 354: (5.00, 31.00) Node 355: (5.00, 32.00) Node 356: (5.00, 33.00) Node 357: (5.00, 34.00) Node 358: (5.00, 35.00) Node 359: (5.00, 36.00) Node 360: (5.00, 37.00) Node 361: (5.00, 38.00) Node 362: (5.00, 39.00) Node 363: (5.00, 40.00) Node 364: (6.00, 30.00) Node 365: (6.00, 31.00) Node 366: (6.00, 32.00) Node 367: (6.00, 33.00) Node 368: (6.00, 34.00) Node 369: (6.00, 35.00) Node 370: (6.00, 36.00) Node 371: (6.00, 37.00) Node 372: (6.00, 38.00) Node 373: (6.00, 39.00) Node 374: (6.00, 40.00) Node 375: (7.00, 30.00) Node 376: (7.00, 31.00) Node 377: (7.00, 32.00) Node 378: (7.00, 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For more details on the ’meshgrid’, kindly go through the following documentation
https://www.mathworks.com/help/matlab/ref/meshgrid.html?s_tid=doc_ta

Weitere Antworten (2)

Bruno Luong
Bruno Luong am 28 Jun. 2023
Ran in:
Code from this thread. Not sure why you must use meshgrid
https://www.mathworks.com/matlabcentral/answers/642930-adjacency-matrix-of-a-hexagonal-graph?s_tid=srchtitle
m = 7;
n = 8;
[A,B,C,X,Y] = HexGraphPart2(m,n);
G = graph(A+B+C);
close all
figure;
h = plot(G);
% Change node coordinates on regular hexagonal pattern
set(h,'XData',X(:),'YData',Y(:));
axis('equal');
function [H,NW,NE,X,Y]=HexGraphPart2(m,n)
x = (0:m-1)';
y = (0:n-1);
K = 1 + x + m*y;
p = m*n;
H = sparse(K(1:2:end-1,1:2:end),K(2:2:end,1:2:end),1,p,p) + ...
sparse(K(2:2:end-1,2:2:end),K(3:2:end,2:2:end),1,p,p);
NW = sparse(K(1:2:end,1:2:end-1),K(1:2:end,2:2:end),1,p,p) + ...
sparse(K(2:2:end,2:2:end-1),K(2:2:end,3:2:end),1,p,p);
NE = sparse(K(2:2:end,1:2:end-1),K(2:2:end,2:2:end),1,p,p) + ...
sparse(K(1:2:end,2:2:end-1),K(1:2:end,3:2:end),1,p,p);
H = H+H';
NW = NW+NW';
NE = NE+NE';
if nargout >= 5
X = (3*x - mod(x+y,2))/2;
Y = (sqrt(3)/2)*y + 0*x;
end
end
  1 Kommentar
Nupur
Nupur am 28 Jun. 2023
Thanks, we can even think this approach if meshgrid usage wasnt mandatory

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Bruno Luong
Bruno Luong am 28 Jun. 2023
Bearbeitet: Bruno Luong am 28 Jun. 2023
Ran in:
If you need coordinates and no connectivity graph, the code can be simplified, you can use meshgrid if you wish to MATLAB autoexpansion is much prefered
m = 7;
n = 8;
x = (0:m-1)';
y = (0:n-1);
X = (3*x - mod(x+y,2))/2;
Y = (sqrt(3)/2)*y + 0*x;
close all
figure;
h = plot(X,Y,'ok');
axis('equal');
  2 Kommentare
Nupur
Nupur am 28 Jun. 2023
We will require connectivity table,graph is just for interpretation
Bruno Luong
Bruno Luong am 28 Jun. 2023
Bearbeitet: Bruno Luong am 28 Jun. 2023
Ran in:
If you absolutely want to use meshgrid then
m = 7;
n = 8;
[x,y] = meshgrid(0:m-1, 0:n-1);
X = (3*x - mod(x+y,2)) / 2;
Y = (sqrt(3)/2)*y;
figure;
h = plot(X,Y,'ok');
axis('equal');

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