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Duna

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// «Duna» · gpt-6-sol (medium)
// A sand dune: a smooth wavy hill of golden sand in 3 shades, higher on one side with a sharp crest, with a few dry grass tufts.

const sandShadow = "#ce9947";
const sandMid = "#e7b75c";
const sandSun = "#f7d37c";

function duneHeight(x, y) {
  const nx = (x - 24) / 21;
  if (Math.abs(nx) >= 1) return -1;

  const centerY = 24 + 1.2 * Math.sin(x * 0.19);
  const radiusY = 19.5 * Math.sqrt(1 - nx * nx);
  const dy = (y - centerY) / radiusY;
  if (Math.abs(dy) >= 1) return -1;

  // A long, gentle windward slope rises to a narrow, wandering crest.
  const crest = 32 + 1.7 * Math.sin((y - 8) * 0.19);
  const slope = x <= crest
    ? Math.pow(Math.max(0, (x - 3) / (crest - 3)), 1.12)
    : Math.pow(Math.max(0, (44 - x) / (44 - crest)), 1.55);

  const across = Math.pow(1 - dy * dy, 0.75);
  const ripple = 0.45 * Math.sin(x * 0.39 + y * 0.13) * across;
  return Math.max(0, Math.floor(18 * slope * across + ripple));
}

for (let x = 3; x <= 44; x++) {
  for (let y = 4; y <= 44; y++) {
    const height = duneHeight(x, y);
    if (height < 0) continue;

    for (let z = 0; z <= height; z++) {
      let color = z < height - 3 ? sandShadow : sandMid;
      if (z >= height - 1) color = sandSun;
      if (z === height && rand() < 0.13) color = sandMid;
      set(x, y, z, color);
    }
  }
}

// Sparse, sun-dried grass: short bent blades sprouting from the slopes.
const tufts = [
  [11, 16], [17, 34], [22, 12],
  [28, 39], [37, 17], [39, 30]
];
const grassDark = "#9e873d";
const grassLight = "#c9b460";

for (const [x, y] of tufts) {
  const ground = duneHeight(x, y);
  if (ground < 1) continue;

  set(x, y, ground + 1, grassDark);
  line(x, y, ground + 1, x - 1, y, ground + 4, 0, grassDark);
  set(x - 2, y, ground + 4, grassLight);

  line(x, y, ground + 1, x + 1, y - 1, ground + 3, 0, grassLight);
  set(x + 2, y - 1, ground + 3, grassLight);

  line(x, y, ground + 1, x, y + 1, ground + 3, 0, grassDark);
  set(x, y + 2, ground + 3, grassLight);
}