Generating triangular/hexagonal coordinates (xyz)

Question

I\'m trying to come up with an iterative function that generates xyz coordinates for a hexagonal grid. With a starting hex position (say 0,0,0 for simplicity), I want to cal

Answer 1

const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
ctx.textAlign = "center";

const radius = 20;
const altitude = Math.sqrt(3) * radius;
const total = 3;
for (let x = -total; x <= total; x++) {
    let y1 = Math.max(-total, -x-total);
    let y2 = Math.min(total, -x+total);
    for (let y = y1; y <= y2; y++) {
        let xx = x * altitude + Math.cos(1/3*Math.PI) * y * altitude;
        let yy = y * radius * 1.5;
        xx += canvas.width/2;
        yy += canvas.height/2;
        drawHex(xx, yy, radius);
        ctx.fillText(x+","+y, xx, yy);
    }
}

function drawHex(x, y, radius){
    ctx.beginPath();
    for(let a = 0; a < Math.PI*2; a+=Math.PI/3){
        let xx = Math.sin(a) * radius + x;
        let yy = Math.cos(a) * radius + y;
        if(a == 0) ctx.moveTo(xx, yy);
        else ctx.lineTo(xx, yy);
    }
    ctx.stroke();
}