Circle packing in an equilateral triangle

<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/Circle_packing_in_an_isosceles_right_triangle/GPhW43o8">Circle packing in an isosceles right triangle</a></li>
<li><a href="/facts/Malfatti_circles/EfqSEl2m">Malfatti circles</a>, three circles of possibly unequal sizes packed into a triangle</li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Melissen, Hans (1993), "Densest packings of congruent circles in an equilateral triangle", The American Mathematical Monthly, 100 (10): 916–925, doi:10.2307/2324212, JSTOR 2324212, MR 1252928. <a href="/wiki/The_American_Mathematical_Monthly" target="_blank">/wiki/The_American_Mathematical_Monthly</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>Melissen, J. B. M.; Schuur, P. C. (1995), "Packing 16, 17 or 18 circles in an equilateral triangle", Discrete Mathematics, 145 (1–3): 333–342, doi:10.1016/0012-365X(95)90139-C, MR 1356610. <a href="https://research.utwente.nl/en/publications/packing-16-17-of-18-circles-in-an-equilateral-triangle(b2172f19-9654-4ff1-9af4-59da1b6bef3d).html" target="_blank">https://research.utwente.nl/en/publications/packing-16-17-of-18-circles-in-an-equilateral-triangle(b2172f19-9654-4ff1-9af4-59da1b6bef3d).html</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>Graham, R. L.; Lubachevsky, B. D. (1995), "Dense packings of equal disks in an equilateral triangle: from 22 to 34 and beyond", Electronic Journal of Combinatorics, 2: Article 1, approx. 39 pp. (electronic), MR 1309122. <a href="/wiki/Ronald_Graham" target="_blank">/wiki/Ronald_Graham</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
<li id="fn:4"><p>Oler, Norman (1961), "A finite packing problem", Canadian Mathematical Bulletin, 4 (2): 153–155, doi:10.4153/CMB-1961-018-7, MR 0133065. <a href="/wiki/Canadian_Mathematical_Bulletin" target="_blank">/wiki/Canadian_Mathematical_Bulletin</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li>
<li id="fn:5"><p>Payan, Charles (1997), "Empilement de cercles égaux dans un triangle équilatéral. À propos d'une conjecture d'Erdős-Oler", Discrete Mathematics (in French), 165/166: 555–565, doi:10.1016/S0012-365X(96)00201-4, MR 1439300. <a href="/wiki/Discrete_Mathematics_(journal)" target="_blank">/wiki/Discrete_Mathematics_(journal)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li>
<li id="fn:6"><p>Melissen, Hans (1993), "Densest packings of congruent circles in an equilateral triangle", The American Mathematical Monthly, 100 (10): 916–925, doi:10.2307/2324212, JSTOR 2324212, MR 1252928. <a href="/wiki/The_American_Mathematical_Monthly" target="_blank">/wiki/The_American_Mathematical_Monthly</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li>
<li id="fn:7"><p>Nurmela, Kari J. (2000), "Conjecturally optimal coverings of an equilateral triangle with up to 36 equal circles", Experimental Mathematics, 9 (2): 241–250, doi:10.1080/10586458.2000.10504649, MR 1780209, S2CID 45127090. <a href="http://projecteuclid.org/getRecord?id=euclid.em/1045952348" target="_blank">http://projecteuclid.org/getRecord?id=euclid.em/1045952348</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li>
</ol>

Circle packing in an equilateral triangle open-in-new

Circle packing in an equilateral triangle