Editing Square pyramid (section)

{{Short description|Pyramid with a square base}}
{{Good article}}
{{Use dmy dates|date=January 2024}}
{{Infobox polyhedron
 | image = Square pyramid.png
 | type = [[Pyramid (geometry)|Pyramid]],<br>[[Johnson solid|Johnson]]<br />{{math|[[Triangular hebesphenorotunda|''J''{{sub|92}}]] – '''''J''{{sub|1}}''' – [[Pentagonal pyramid|''J''{{sub|2}}]]}}
 | faces = 4 [[triangle]]s<br />1 [[Square (geometry)|square]]
 | edges = 8
 | vertices = 5
 | vertex_config = <math> 4 \times (3^2 \times 4) + 1 \times (3^4) </math>{{sfnp|Johnson|1966}}
 | symmetry = <math> C_{4\mathrm{v}} </math>
 | volume = <math> \frac{1}{3}l^2 h </math>
 | angle = Equilateral square pyramid:{{sfnp|Johnson|1966}}<br>{{bullet list|triangle-to-triangle: 109.47&deg;|square-to-triangle: 54.74&deg;}}
 | dual = [[Self-dual polyhedron|self-dual]]
 | properties = [[Convex set|convex]],<br>[[Elementary polyhedron|elementary]] (equilateral square pyramid)
 | net = Square pyramid net.svg
}}
In [[geometry]], a '''square pyramid''' is a [[Pyramid (geometry)|pyramid]] with a square base and four triangles, having a total of five faces. If the  [[Apex (geometry)|apex]] of the pyramid is directly above the center of the square, it is a ''right square pyramid'' with four [[isosceles triangle]]s; otherwise, it is an ''oblique square pyramid''. When all of the pyramid's edges are equal in length, its triangles are all [[equilateral triangle|equilateral]]. It is called an ''equilateral square pyramid'', an example of a [[Johnson solid]].

Square pyramids have appeared throughout the history of architecture, with examples being [[Egyptian pyramid]]s and many other similar buildings. They also occur in chemistry in [[Square pyramidal molecular geometry|square pyramidal molecular structures]]. Square pyramids are often used in the construction of other [[polyhedra]]. Many mathematicians in ancient times discovered the formula for the volume of a square pyramid with different approaches.