Editing Tetrahedron (section)

==Integer tetrahedra==
{{main|Heronian tetrahedron}}
There exist tetrahedra having integer-valued edge lengths, face areas and volume. These are called [[Heronian tetrahedron|Heronian tetrahedra]]. One example has one edge of 896, the opposite edge of 990 and the other four edges of 1073; two faces are [[isosceles triangle]]s with areas of {{val|436800}} and the other two are isosceles with areas of {{val|47120}}, while the volume is {{val|124185600}}.<ref>{{citation
 | date = May 1985
 | department = Solutions
 | issue = 5
 | journal = Crux Mathematicorum
 | pages = 162–166
 | title = Problem 930
 | url = https://cms.math.ca/wp-content/uploads/crux-pdfs/Crux_v11n05_May.pdf
 | volume = 11}}</ref>

A tetrahedron can have integer volume and consecutive integers as edges, an example being the one with edges 6, 7, 8, 9, 10, and 11 and volume 48.<ref name=Sierpinski>[[Wacław Sierpiński]], ''[[Pythagorean Triangles]]'', Dover Publications, 2003 (orig. ed. 1962), p. 107. Note however that Sierpiński repeats an erroneous calculation of the volume of the Heronian tetrahedron example above.</ref>