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biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">John Flinders Petrie</div></th></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data"><a href="/wiki/1972" title="1972">1972</a></td></tr><tr><th scope="row" class="infobox-label">Nationality</th><td class="infobox-data category"><span class="flagicon"><span class="mw-image-border" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/a/ae/Flag_of_the_United_Kingdom.svg/23px-Flag_of_the_United_Kingdom.svg.png" decoding="async" width="23" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/a/ae/Flag_of_the_United_Kingdom.svg/35px-Flag_of_the_United_Kingdom.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/a/ae/Flag_of_the_United_Kingdom.svg/46px-Flag_of_the_United_Kingdom.svg.png 2x" data-file-width="1200" data-file-height="600" /></span></span> </span><a href="/wiki/United_Kingdom" title="United Kingdom">United Kingdom</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/Petrie_polygon" title="Petrie polygon">Petrie polygon</a></td></tr></tbody></table> <p><b>John Flinders Petrie</b> (April 26, 1907 – 1972) was an English <a href="/wiki/Mathematician" title="Mathematician">mathematician</a>. He met the geometer <a href="/wiki/Harold_Coxeter" class="mw-redirect" title="Harold Coxeter">Harold Scott MacDonald Coxeter</a> as a student, beginning a lifelong friendship. They collaborated in discovering infinite warped polyhedra and (finite) warped polyhedra in the fourth dimension, analogous to the previous ones. In addition to being the first to realize the importance of the warped polygon that now bears his name, he was also skilled as a draftsperson. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biography">Biography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=John_Flinders_Petrie&action=edit&section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Petrie was born on April 26, <a href="/wiki/1907" title="1907">1907</a>, in <a href="/wiki/Hampstead,_London" class="mw-redirect" title="Hampstead, London">Hampstead, London</a>. He was the only son of the renowned Egyptologists <a href="/wiki/Sir_William_Matthew_Flinders_Petrie" class="mw-redirect" title="Sir William Matthew Flinders Petrie">Sir William Matthew Flinders Petrie</a> and <a href="/wiki/Hilda_Petrie" title="Hilda Petrie">Hilda Petrie</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> While studying at a boarding school, he met Coxeter in a sanatorium while recovering from a minor illness, beginning a friendship that would remain throughout their lives.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Looking at a geometry textbook with an appendix on Platonic polyhedra, they wondered why there were only five and tried to increase their number. Petrie commented: How about we put four squares around one corner? In practice, they would lie on a plane, forming a pattern of squares covering the plane. He called this arrangement a "tesserohedron", reaching the similar structure of triangles a "trigonohedron." </p> <div class="mw-heading mw-heading2"><h2 id="Polyhedral_regular_tilings">Polyhedral regular tilings</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=John_Flinders_Petrie&action=edit&section=2" title="Edit section: Polyhedral regular tilings"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 1926, Petrie told Coxeter that he had discovered two new regular polyhedra, infinite but free of "false vertices" (points distinct from the vertices, where three or more faces meet, like those that characterize regular star polyhedra): one consisting of squares, six at each vertex and another consisting of hexagons, four at each vertex, which form a dual or reciprocal pair. To the common objection that there is no room for more than four squares around a vertex, he revealed the trick: allow the faces to be arranged up and down, marking a zigzag. When Coxeter understood this, he mentioned a third possibility: hexagons, six around a vertex, its dual. </p><p>Coxeter suggested a modified <a href="/wiki/Schl%C3%A4fli_symbol" title="Schläfli symbol">Schläfli symbol</a>, {l, m | n} for these figures, with the emblem {l, m} implying the vertex figure, m l-gons around a vertex and n-gonal holes. Then it occurred to them that, although the new <a href="/wiki/Polyhedra" class="mw-redirect" title="Polyhedra">polyhedra</a> are infinite, they could find analogous finite polyhedra by delving into the fourth dimension. Petrie cited one consisting of n2 squares, four at each vertex. They called these figures "regular skew polyhedra". Later, Coxeter would delve deeper into the subject. </p> <div class="mw-heading mw-heading2"><h2 id="University_and_work">University and work</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=John_Flinders_Petrie&action=edit&section=3" title="Edit section: University and work"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Because his father belonged to <a href="/wiki/University_College_London" title="University College London">University College London</a>, Petrie enrolled in this institution, where he successfully completed his studies. When the <a href="/wiki/Second_World_War" class="mw-redirect" title="Second World War">Second World War</a> broke out, he enlisted as an officer and was captured as a prisoner by the Germans, organizing a choir during his captivity. After the war ended and he was released, he went to Darlington Hall, a school in southwest England. He worked many years as a schoolteacher. He was one of the tutors who attended to the children doing poorly in school. </p> <div class="mw-heading mw-heading2"><h2 id="The_Petrie_polygon">The Petrie polygon</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=John_Flinders_Petrie&action=edit&section=4" title="Edit section: The Petrie polygon"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Petrie continued to correspond with Coxeter and was the first to notice that, among the edges of a <a href="/wiki/Regular_polyhedron" title="Regular polyhedron">regular polyhedron</a>, a <a href="/wiki/Skew_polygon" title="Skew polygon">skew polygon</a> forming a zigzag can be distinguished, in which the first and second are the edges of one face, the second and third are the edges of another face and so on, successively. This zigzag is known as the "<a href="/wiki/Petrie_polygon" title="Petrie polygon">Petrie polygon</a>" and has many applications. The Petrie polygon of a regular polyhedron can be defined as the skew polygon (whose vertices do not all lie in the same plane) such that every two consecutive sides (but not three) belong to one of the faces of the polyhedron. </p><p>Each finite regular polyhedron can be orthogonally projected onto a plane so that the Petrie polygon becomes a regular polygon, with the rest of the projection inside. These polygons and their projected graphs help visualize the symmetrical structure of regular polytopes of higher dimensions, which are difficult to conceive or imagine without this aid. </p><p>His skills as a draftsman are shown in an exquisite set of drawings of the stellated icosahedron, which provides much of the fascination of the much-discussed book he illustrates. On another occasion, to explain the symmetry of the icosahedron, Coxeter showed an orthogonal projection, representing 10 of the 15 <a href="/wiki/Great_circle" title="Great circle">great circles</a> as ellipses. The difficult task of drawing was performed by Petrie around 1932. It now prominently features on the cover of a popular recreational mathematics book garnished with a touch of colour. It is reported that, in periods of intense concentration, he could answer questions about complex figures of the fourth dimension by "visualizing" them. </p> <div class="mw-heading mw-heading2"><h2 id="Final_years">Final years</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=John_Flinders_Petrie&action=edit&section=5" title="Edit section: Final years"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Petrie got married and had a daughter. In late 1972, his wife suffered a sudden heart attack and passed away. He missed her so much and was so distracted that one day he walked onto a highway near his home and was hit by a car while trying to cross it running. He died in Surrey, at 64, just two weeks after his wife.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (December 2023)">citation needed</span></a></i>]</sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=John_Flinders_Petrie&action=edit&section=6" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Petrie_polygon" title="Petrie polygon">Petrie polygon</a></li> <li><a href="/wiki/Skew_polygon" title="Skew polygon">Skew polygon</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=John_Flinders_Petrie&action=edit&section=7" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">W. H. Auden – ‘Family Ghosts’ «John Flinders Petrie».</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">A large part of what is known about Petrie is due to Coxeter. See also: <style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFHargittai2005" class="citation book cs1">Hargittai (2005). "H. S. M. (Donald) Coxeter". <i>Candid science</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=H.+S.+M.+%28Donald%29+Coxeter&rft.btitle=Candid+science&rft.date=2005&rft.au=Hargittai&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span>, pág. 5 <i>et seq.</i></span> </li> </ol></div></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBallCoxeter1987" class="citation book cs1"><a href="/wiki/W._W._Rouse_Ball" title="W. W. Rouse Ball">Ball, W. W. Rouse</a>; Coxeter, H. S. M. (1987). <i>Mathematical recreations and essays</i> (13.ª ed.). Nueva York: Dover Publications. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-25357-0" title="Special:BookSources/0-486-25357-0"><bdi>0-486-25357-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Mathematical+recreations+and+essays&rft.place=Nueva+York&rft.edition=13.%C2%AA&rft.pub=Dover+Publications&rft.date=1987&rft.isbn=0-486-25357-0&rft.aulast=Ball&rft.aufirst=W.+W.+Rouse&rft.au=Coxeter%2C+H.+S.+M.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCoxeter1973" class="citation book cs1"><a href="/wiki/Harold_Scott_MacDonald_Coxeter" title="Harold Scott MacDonald Coxeter">Coxeter, H. S. M.</a> (1973). <i>Regular polytopes</i> (3.ª ed.). Nueva York: Dover Publications. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-61480-8" title="Special:BookSources/0-486-61480-8"><bdi>0-486-61480-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Regular+polytopes&rft.place=Nueva+York&rft.edition=3.%C2%AA&rft.pub=Dover+Publications&rft.date=1973&rft.isbn=0-486-61480-8&rft.aulast=Coxeter&rft.aufirst=H.+S.+M.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCoxeter1989" class="citation book cs1"><a href="/wiki/H._S._M._Coxeter" class="mw-redirect" title="H. S. M. Coxeter">Coxeter, H. S. M.</a> (1989). <i>Introduction to geometry</i>. Wiley Classic Library. Vol. 19 (2.ª ed.). Nueva York: Wiley. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9780471504580" title="Special:BookSources/9780471504580"><bdi>9780471504580</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Introduction+to+geometry&rft.place=Nueva+York&rft.series=Wiley+Classic+Library&rft.edition=2.%C2%AA&rft.pub=Wiley&rft.date=1989&rft.isbn=9780471504580&rft.aulast=Coxeter&rft.aufirst=H.+S.+M.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCoxeter1995" class="citation book cs1"><a href="/wiki/Harold_Scott_MacDonald_Coxeter" title="Harold Scott MacDonald Coxeter">Coxeter, H. S. M.</a> (1995). <a rel="nofollow" class="external text" href="https://archive.org/details/kaleidoscopessel0000coxe"><i>Kaleidoscopes: selected writings of H. S. M. Coxeter</i></a>. Introducción y compilación de F. A. Sherk; P. Mullen; A. C. Thompson; Ivić Weiss. Nueva York: Wiley–Interscience Publication. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9780471010036" title="Special:BookSources/9780471010036"><bdi>9780471010036</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Kaleidoscopes%3A+selected+writings+of+H.+S.+M.+Coxeter&rft.place=Nueva+York&rft.pub=Wiley%E2%80%93Interscience+Publication&rft.date=1995&rft.isbn=9780471010036&rft.aulast=Coxeter&rft.aufirst=H.+S.+M.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fkaleidoscopessel0000coxe&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCoxeterDu_ValFlatherPetrie1999a" class="citation book cs1"><a href="/wiki/H._S._M._Coxeter" class="mw-redirect" title="H. S. M. Coxeter">Coxeter, H. S. M.</a>; Du Val, P.; Flather, H. T.; Petrie, J. F. (1999a). <i>The fifty–nine icosahedra</i> (3.ª ed.). Tarquin. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781899618323" title="Special:BookSources/9781899618323"><bdi>9781899618323</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+fifty%E2%80%93nine+icosahedra&rft.edition=3.%C2%AA&rft.pub=Tarquin&rft.date=1999&rft.isbn=9781899618323&rft.aulast=Coxeter&rft.aufirst=H.+S.+M.&rft.au=Du+Val%2C+P.&rft.au=Flather%2C+H.+T.&rft.au=Petrie%2C+J.+F.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCoxeter1999b" class="citation book cs1"><a href="/wiki/Harold_Scott_MacDonald_Coxeter" title="Harold Scott MacDonald Coxeter">Coxeter, H. S. M.</a> (1999b). <a rel="nofollow" class="external text" href="https://archive.org/details/beautyofgeometry0000coxe"><i>The beauty of geometry: twelve essays</i></a>. Nueva York: Dover Publications. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-40919-8" title="Special:BookSources/0-486-40919-8"><bdi>0-486-40919-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+beauty+of+geometry%3A+twelve+essays&rft.place=Nueva+York&rft.pub=Dover+Publications&rft.date=1999&rft.isbn=0-486-40919-8&rft.aulast=Coxeter&rft.aufirst=H.+S.+M.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fbeautyofgeometry0000coxe&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHargittaiHargittai2005" class="citation book cs1">Hargittai, Balazs; Hargittai, István (2005). <i>Candid science v: conversations with famous scientists</i>. Londres: Imperial College Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781860945069" title="Special:BookSources/9781860945069"><bdi>9781860945069</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Candid+science+v%3A+conversations+with+famous+scientists&rft.place=Londres&rft.pub=Imperial+College+Press&rft.date=2005&rft.isbn=9781860945069&rft.aulast=Hargittai&rft.aufirst=Balazs&rft.au=Hargittai%2C+Istv%C3%A1n&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKepler1997" class="citation book cs1 cs1-prop-foreign-lang-source"><a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Kepler, Johannes</a> (1997). <i>Harmonices mundi</i> (in Latin). Tr. al inglés con introducción y anotaciones por E. J. Aiton; A. M. Duncan; J. V. Field. The American Philosophical Society. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-87169-209-0" title="Special:BookSources/0-87169-209-0"><bdi>0-87169-209-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Harmonices+mundi&rft.pub=The+American+Philosophical+Society&rft.date=1997&rft.isbn=0-87169-209-0&rft.aulast=Kepler&rft.aufirst=Johannes&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMcMullenSchulte2002" class="citation book cs1"><a href="/wiki/Peter_McMullen" title="Peter McMullen">McMullen, Peter</a>; Schulte, Egon (2002). <a rel="nofollow" class="external text" href="https://archive.org/details/abstractregularp0000mcmu"><i>Abstract regular polytopes</i></a>. Cambridge: <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-521-81496-0" title="Special:BookSources/0-521-81496-0"><bdi>0-521-81496-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Abstract+regular+polytopes&rft.place=Cambridge&rft.pub=Cambridge+University+Press&rft.date=2002&rft.isbn=0-521-81496-0&rft.aulast=McMullen&rft.aufirst=Peter&rft.au=Schulte%2C+Egon&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fabstractregularp0000mcmu&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJenkins" class="citation web cs1">Jenkins, Nicholas. <a rel="nofollow" class="external text" href="http://www.stanford.edu/group/auden/cgi-bin/auden/individual.php?pid=I16825&ged=auden-bicknell.ged">"John Flinders Petrie"</a>. <i>W. H. Auden – ‘Family Ghosts’</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2012-10-11</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=W.+H.+Auden+%E2%80%93+%E2%80%98Family+Ghosts%E2%80%99&rft.atitle=John+Flinders+Petrie&rft.aulast=Jenkins&rft.aufirst=Nicholas&rft_id=http%3A%2F%2Fwww.stanford.edu%2Fgroup%2Fauden%2Fcgi-bin%2Fauden%2Findividual.php%3Fpid%3DI16825%26ged%3Dauden-bicknell.ged&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Flinders+Petrie" class="Z3988"></span><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged February 2024">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJenkins" class="citation web cs1">Jenkins, Nicholas. <a rel="nofollow" class="external text" href="http://kindred.stanford.edu/#/kin/full/none/none/I16825//">"John Flinders Petrie"</a>. <i>Kindred Britain</i><span class="reference-accessdate">. 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