diff --git a/docs/_static/favicon.svg b/docs/_static/favicon.svg
new file mode 100644
index 0000000..06e3966
--- /dev/null
+++ b/docs/_static/favicon.svg
@@ -0,0 +1,8 @@
+<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" width="512" height="512">
+  <mask id="cut">
+    <rect width="24" height="24" fill="#fff"/>
+    <path d="M11.5 19.1C11.3 20.2 10.9 21 10.2 21.5C9.5 22 8.6 22.1 7.5 21.9C7.1 21.8 6.3 21.7 6 21.5L6.5 20C6.8 20.1 7.4 20.3 7.7 20.3C8.8 20.5 9.4 20 9.6 18.8L12 5.2C12.2 4 12.7 3.2 13.4 2.6C14.1 2.1 15.1 1.9 16.2 2.1C16.6 2.2 17.4 2.3 18 2.6L17.5 4C17.3 3.9 16.6 3.8 16.3 3.7C15 3.5 14.3 4.1 14 5.6L11.5 19.1Z" transform="translate(9.2 12) scale(0.78) translate(-12 -12)" fill="#000"/>
+    <path d="M12.7 12H18.5M15.6 9.1V14.9" stroke="#000" stroke-width="2" stroke-linecap="round"/>
+  </mask>
+  <rect x="3" y="3" width="18" height="18" rx="2" fill="#000" mask="url(#cut)"/>
+</svg>
diff --git a/docs/_static/make_logo.py b/docs/_static/make_logo.py
new file mode 100644
index 0000000..c8dacd8
--- /dev/null
+++ b/docs/_static/make_logo.py
@@ -0,0 +1,80 @@
+# /// script
+# requires-python = ">=3.11"
+# dependencies = ["resvg-py"]
+# ///
+"""Draw the diffraxtra logo: diffrax's, plus a plus.
+
+diffrax's logo is an integral sign cut out of a rounded square. diffraxtra's
+cuts a big + out beside it, for the extras. Both marks are vector paths, so the
+logo is written as an SVG, sharp at any size; for a bitmap, name a .png and give
+its size::
+
+    uv run docs/_static/make_logo.py                     # favicon.svg
+    uv run docs/_static/make_logo.py --size 2048 big.png
+"""
+
+import argparse
+from pathlib import Path
+
+# The integral sign: Material Design Icons' "math-integral", by Pictogrammers,
+# under the Apache License 2.0 (https://pictogrammers.com/library/mdi/). The box
+# is that set's "math-integral-box", diffrax's logo, as a rounded square.
+INTEGRAL = (
+    "M11.5 19.1C11.3 20.2 10.9 21 10.2 21.5C9.5 22 8.6 22.1 7.5 21.9C7.1 21.8 "
+    "6.3 21.7 6 21.5L6.5 20C6.8 20.1 7.4 20.3 7.7 20.3C8.8 20.5 9.4 20 9.6 "
+    "18.8L12 5.2C12.2 4 12.7 3.2 13.4 2.6C14.1 2.1 15.1 1.9 16.2 2.1C16.6 2.2 "
+    "17.4 2.3 18 2.6L17.5 4C17.3 3.9 16.6 3.8 16.3 3.7C15 3.5 14.3 4.1 14 "
+    "5.6L11.5 19.1Z"
+)
+# In the icons' 24-unit grid: the integral is scaled to fit the box beside the
+# plus, which is drawn as two round-capped strokes.
+INTEGRAL_AT = "translate(9.2 12) scale(0.78) translate(-12 -12)"
+PLUS = (15.6, 12, 2.9, 2.0)  # centre x, centre y, arm length, stroke width
+
+SVG = """\
+<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" width="512" height="512">
+  <mask id="cut">
+    <rect width="24" height="24" fill="#fff"/>
+    <path d="{integral}" transform="{integral_at}" fill="#000"/>
+    <path d="{plus}" stroke="#000" stroke-width="{width:g}" stroke-linecap="round"/>
+  </mask>
+  <rect x="3" y="3" width="18" height="18" rx="2" fill="#000" mask="url(#cut)"/>
+</svg>
+"""
+
+
+def svg() -> str:
+    """Return the logo as SVG text."""
+    x, y, arm, width = PLUS
+    plus = f"M{x - arm:g} {y:g}H{x + arm:g}M{x:g} {y - arm:g}V{y + arm:g}"
+    return SVG.format(
+        integral=INTEGRAL, integral_at=INTEGRAL_AT, plus=plus, width=width
+    )
+
+
+def main() -> None:
+    """Parse the command line and save the logo."""
+    parser = argparse.ArgumentParser(description=__doc__.split("\n")[0])
+    parser.add_argument(
+        "out",
+        nargs="?",
+        type=Path,
+        default=Path(__file__).with_name("favicon.svg"),
+        help="output file, SVG or PNG by its extension (default: favicon.svg)",
+    )
+    parser.add_argument(
+        "--size", type=int, default=512, help="pixels per side, for a PNG"
+    )
+    args = parser.parse_args()
+
+    if args.out.suffix == ".svg":
+        args.out.write_text(svg())
+    else:
+        import resvg_py  # noqa: PLC0415  # only a PNG needs a renderer
+
+        png = resvg_py.svg_to_bytes(svg_string=svg(), width=args.size)
+        args.out.write_bytes(bytes(png))
+
+
+if __name__ == "__main__":
+    main()