diff --git a/maths/chebyshev_distance.py b/maths/chebyshev_distance.py
new file mode 100644
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--- /dev/null
+++ b/maths/chebyshev_distance.py
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+def chebyshev_distance(point_a: list[float], point_b: list[float]) -> float:
+    """
+    This function calculates the Chebyshev distance (also known as the
+    Chessboard distance) between two n-dimensional points represented as lists.
+
+    https://en.wikipedia.org/wiki/Chebyshev_distance
+
+    >>> chebyshev_distance([1.0, 1.0], [2.0, 2.0])
+    1.0
+    >>> chebyshev_distance([1.0, 1.0, 9.0], [2.0, 2.0, -5.2])
+    14.2
+    >>> chebyshev_distance([1.0], [2.0, 2.0])
+    Traceback (most recent call last):
+        ...
+    ValueError: Both points must have the same dimension.
+    """
+    if len(point_a) != len(point_b):
+        raise ValueError("Both points must have the same dimension.")
+
+    return max(abs(a - b) for a, b in zip(point_a, point_b))