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In `F33f`_`[geometry`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Geometry]`_`f, an `!axis-aligned object`! (`!axis-parallel`!, `!axis-oriented`!) is an object in `*n`*-dimensional space whose shape is aligned with the `F33f`_`[coordinate axes`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Coordinate_axes]`_`f of the space.

Examples are `F33f`_`[axis-aligned rectangles`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Axis-aligned_rectangle]`_`f (or `F33f`_`[hyperrectangles`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Hyperrectangle]`_`f), the ones with edges parallel to the coordinate axes. `F33f`_`[Minimum bounding boxes`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Minimum_bounding_box]`_`f are often implicitly assumed to be axis-aligned. A more general case is `F33f`_`[rectilinear polygons`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Rectilinear_polygon]`_`f, the ones with all sides parallel to coordinate axes or rectilinear polyhedra.

Many problems in `F33f`_`[computational geometry`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Computational_geometry]`_`f allow for faster algorithms when restricted to (collections of) axis-oriented objects, such as axis-aligned rectangles or axis-aligned line segments.`:cite-ref-1[`F5bf`_`[1`#cite-note-1]`_`f]

A different kind of example are axis-aligned ellipsoids, i.e., the `F33f`_`[ellipsoids`:/page/wikibook/entry.mu`zim=wikipedia_en_all_nopic_2025-08.zim|entry_path=Ellipsoid]`_`f with principal axes parallel to the coordinate axes.

>>References

`:cite-note-1`!1.`! `F0af`_`[↑`#cite-ref-1]`_`f "3D collision detection - Game development | MDN". `*developer.mozilla.org`*. 2023-07-07. Retrieved 2023-10-01.

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