Editing Antiprism (section)

== History ==
In his 1619 book ''[[Harmonices Mundi]]'', [[Johannes Kepler]] observed the existence of the infinite family of antiprisms.<ref>{{cite book|title=Harmonices Mundi|first=Johannes|last=Kepler|author-link=Johannes Kepler|title-link=Harmonices Mundi|year=1619|contribution=Book II, Definition X|language=la|page=49|contribution-url=https://archive.org/details/ioanniskepplerih00kepl/page/n65}} See also [https://archive.org/details/ioanniskepplerih00kepl/page/n75 illustration A], of a heptagonal antiprism.</ref> This has conventionally been thought of as the first discovery of these shapes, but they may have been known earlier: an unsigned printing block for the [[net (geometry)|net]] of a [[hexagonal antiprism]] has been attributed to [[Hieronymus Andreae]], who died in 1556.<ref>{{cite journal
 | last1 = Schreiber | first1 = Peter
 | last2 = Fischer | first2 = Gisela | author2-link = Gisela Fischer
 | last3 = Sternath | first3 = Maria Luise
 | date = July 2008
 | issue = 4
 | journal = Archive for History of Exact Sciences
 | jstor = 41134285
 | pages = 457–467
 | title = New light on the rediscovery of the Archimedean solids during the Renaissance
 | volume = 62| doi = 10.1007/s00407-008-0024-z
 }}</ref>

The German form of the word "antiprism" was used for these shapes in the 19th century; Karl Heinze credits its introduction to {{ill|Theodor Wittstein|de}}.<ref>{{cite book|title=Genetische Stereometrie|first=Karl|last=Heinze|editor-first=Franz|editor-last=Lucke|publisher=B. G. Teubner|year=1886|language=de|page=14|url=https://books.google.com/books?id=rZALAAAAYAAJ&pg=PA14}}</ref> Although the English "anti-prism" had been used earlier for an [[Prism (optics)|optical prism]] used to cancel the effects of a primary optical element,<ref>{{cite journal
 | last = Smyth | first = Piazzi
 | doi = 10.1017/s0080456800029112
 | issue = 1
 | journal = Transactions of the Royal Society of Edinburgh
 | pages = 419–425
 | title = XVII. On the Constitution of the Lines forming the Low-Temperature Spectrum of Oxygen
 | volume = 30
 | year = 1881}}</ref> the first use of "antiprism" in English in its geometric sense appears to be in the early 20th century in the works of [[H. S. M. Coxeter]].<ref>{{cite journal
 | last = Coxeter | first = H. S. M.
 | date = January 1928
 | doi = 10.1017/s0305004100011786
 | issue = 1
 | journal = Mathematical Proceedings of the Cambridge Philosophical Society
 | pages = 1–9
 | title = The pure Archimedean polytopes in six and seven dimensions
 | volume = 24| bibcode = 1928PCPS...24....1C
 }}</ref>