\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\citation{PasTri}
\citation{SGWW}
\citation{Spru}
\citation{Pas}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}}
\citation{Bin}
\citation{DeutschShap}
\@writefile{toc}{\contentsline {section}{\numberline {2}Preliminaries}{2}{section.2}}
\citation{SGWW}
\citation{Egor}
\citation{EZDecomp}
\citation{EZInt}
\citation{SL1}
\citation{SL2}
\citation{Cat}
\citation{SulankeNara1}
\citation{SulankeNara2}
\citation{Hermite}
\newlabel{HerRec}{{3}{4}{Preliminaries\relax }{equation.3}{}}
\citation{Laguerre}
\newlabel{HerBin}{{4}{5}{Preliminaries\relax }{theorem.2.4}{}}
\newlabel{LagRec}{{4}{5}{Preliminaries\relax }{equation.4}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Introducing the family of centrally symmetric invertible triangles}{5}{section.3}}
\citation{Bessel}
\newlabel{ExB1}{{8}{7}{Introducing the family of centrally symmetric invertible triangles\relax }{theorem.3.8}{}}
\citation{PasTri}
\citation{Burstein}
\newlabel{avoid}{{5}{11}{Introducing the family of centrally symmetric invertible triangles\relax }{equation.5}{}}
\citation{Blasiak1}
\@writefile{toc}{\contentsline {section}{\numberline {4}The General Case}{14}{section.4}}
\@writefile{toc}{\contentsline {section}{\numberline {5}The case $r=\frac  {1}{2}$}{17}{section.5}}
\citation{Blasiak2}
\bibcite{PasTri}{1}
\bibcite{Blasiak1}{2}
\bibcite{Blasiak2}{3}
\bibcite{Burstein}{4}
\bibcite{DeutschShap}{5}
\bibcite{Pas}{6}
\bibcite{Egor}{7}
\bibcite{EZDecomp}{8}
\@writefile{toc}{\contentsline {section}{\numberline {6}Conclusion}{19}{section.6}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Acknowledgments}{19}{section.7}}
\bibcite{EZInt}{9}
\bibcite{SGWW}{10}
\bibcite{SL1}{11}
\bibcite{SL2}{12}
\bibcite{Spru}{13}
\bibcite{SulankeNara1}{14}
\bibcite{SulankeNara2}{15}
\bibcite{Bessel}{16}
\bibcite{Bin}{17}
\bibcite{Cat}{18}
\bibcite{Hermite}{19}
\bibcite{Laguerre}{20}
