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+\usepackage{amsmath}
+\usepackage{float}
+\usepackage{tasks}
+\usepackage{filecontents}
+\usepackage{textcomp}
+\usepackage{tkz-euclide}
+\usepackage{listings}
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\usepackage{xcolor}
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol
+\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
+\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development
+\newcommand{\razhroscevanje}{0}
+\definecolor{codegreen}{rgb}{0,0.6,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
+\definecolor{codepurple}{rgb}{0.58,0,0.82}
+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+
+\lstdefinestyle{mystyle}{
+    backgroundcolor=\color{backcolour},   
+    commentstyle=\color{codegreen},
+    keywordstyle=\color{magenta},
+    numberstyle=\tiny\color{codegray},
+    stringstyle=\color{codepurple},
+    basicstyle=\ttfamily\footnotesize,
+    breakatwhitespace=false,         
+    breaklines=true,                 
+    captionpos=b,                    
+    keepspaces=true,                 
+    numbers=left,                    
+    numbersep=5pt,                  
+    showspaces=false,                
+    showstringspaces=false,
+    showtabs=false,                  
+    tabsize=2
+}
+
+\lstset{style=mystyle}
+\def\@maketitle{%
+	\newpage
+	\null
+	\vskip 2em%
+	\begin{center}%
+		\let \footnote \thanks
+		{\LARGE \@title \par}%
+		\vskip 1.5em%
+		{\large
+			\lineskip .5em%
+			\begin{tabular}[t]{c}% <------
+				\@author%            <------ Authors
+			\end{tabular}\par}%    <------
+		\vskip 1em%
+		{\large \@date}%
+	\end{center}%
+	\par
+	\vskip 1.5em}
+%opening
+\newcommand{\stevilkadn}{3}
+\newcommand{\snovdn}{Konveksne množice }
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+	\ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+	\or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+	\or t\or u\or v\or z\or \v{z}
+	\else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
+\newcommand*\textfrac[2]{
+	\frac{\text{#1}}{\text{#2}}
+}
+\renewcommand\abstractname{Povzetek}
+\date{10. september 2020}
+\renewcommand\contentsname{Kazalo vsebine}
+\renewcommand\figurename{Slika}
+\renewcommand\abstractname{Povzetek}
+\newcommand{\iic}{I\textsuperscript{2}C }
+% \patchcmd{\thebibliography}{\section*{\refname}}{}{}{}
+\title{%
+	\snovdn --- \stevilkadn. domača naloga \\
+	\large Matematika, Gimnazija Bežigrad}
+\author{\begin{tabular}{rl}
+		\textbf{Profesor:} & prof. Vilko Domajnko \\
+		\textbf{Avtor:} & Anton Luka Šijanec, 2. a
+%		\textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3
+\end{tabular}}
+
+
+% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+
+\begin{abstract}
+	Ta dokument obsega naloge, naročene dijakom 10. septembra 2020, in njihove rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so iz učbenika (stran 15). Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbral naključno.
+\end{abstract}
+\tableofcontents
+
+\section{Učbenik \textit{Matematika 2}: Stran 15} % 1, 2, 3, 4
+\begin{enumerate}[label=\textbf{\arabic*.}]
+	\item Zapiši vsaj pet dvojic sosednjih kotov z vrhovi v ogliščih pravokotnika, katerih kraki ležijo na nosilkah stranic ali diagonal pravokotnika, tako da kota v nobeni dvojici nista sokota. % 1. naloga
+	
+	$$\measuredangle(AB, AC), \measuredangle(AC, AD), \measuredangle(BA, BD), \measuredangle(BD, BC), \measuredangle(CB, CA)$$
+	
+	\item Pet poltrakov ima skupno izhodišče $A$. Poltraki oblikujejo pet kotov tako, da je prvi soseden drugemu, drugi tretjemu ... peti prvemu. Velikosti teh kotov so v razmerju $1:2:3:4:5$. Izračunaj velikost posameznega kota. Ali ležita katera izmed poltrakov na isti premici?
+	
+	$$ \ang{360} = \alpha + \beta + \chi + \delta + \epsilon= 1\alpha + 2\alpha + 3\alpha + 4\alpha + 5\alpha = 15\alpha \rightarrow \alpha = 24 $$
+	
+	\newcommand\alfast{24}
+	
+	Velikosti kotov so: $\alfast; \pgfmathparse{\alfast*2}\ang{\pgfmathresult}; \pgfmathparse{\alfast*3}\ang{\pgfmathresult}; \pgfmathparse{\alfast*4}\ang{\pgfmathresult}; \pgfmathparse{\alfast*5}\ang{\pgfmathresult}$.
+	\begin{center}
+		\begin{tikzpicture}
+			% \tkzInit[xmin=-6,ymin=-4,xmax=6,ymax=6]
+			\tkzDefPoint(0,0){A}
+			\tkzDefPoint(0:3){H}
+			\tkzDefPoint(24:3){J}
+			\tkzDefPoint((48+24):3){K}
+			\tkzDefPoint((72+48+24):3){L}
+			\tkzDefPoint((96+72+48+24):3){M}
+			% \tkzDefPoint((120+96+72+48+24):3){M}
+			% \tkzDefLine[mediator](A,B)
+			% \tkzDefLine[mediator](C,D)
+			\tkzDrawLine[](A,H) % \tkzLabelLine[](A,H){$h$} % add = 1 and 1
+			\tkzDrawLine[](A,J) % \tkzLabelLine[](A,J){$j$} % add = 1 and 1
+			\tkzDrawLine[](A,K) % \tkzLabelLine[](A,K){$k$} % add = 1 and 1
+			\tkzDrawLine[](A,L) % \tkzLabelLine[](A,L){$l$}
+			\tkzDrawLine[](A,M) % \tkzLabelLine[](A,M){$m$}
+			\tkzFillAngle[fill=gray!10](H,A,J) \tkzLabelAngle[pos=2,draw,circle,fill=gray!10](H,A,J){$\alpha$} % size = 2 cm
+			\tkzFillAngle[fill=cyan!10](J,A,K) \tkzLabelAngle[pos=2,draw,circle,fill=cyan!10](J,A,K){$\beta$}
+			\tkzFillAngle[fill=yellow!10](K,A,L) \tkzLabelAngle[pos=2,draw,circle,fill=yellow!10](K,A,L){$\chi$}
+			\tkzFillAngle[fill=magenta!10](L,A,M) \tkzLabelAngle[pos=2,draw,circle,fill=magenta!10](L,A,M){$\delta$}
+			\tkzFillAngle[fill=white!10](M,A,H) \tkzLabelAngle[pos=2,draw,circle,fill=white!10](M,A,H){$\epsilon$}
+			\tkzMarkAngles[mark = none](H,A,J J,A,K K,A,L L,A,M M,A,H)
+			
+			% \tkzDefLine[bisector](S,C,B)
+			% \tkzGetPoint{b}
+			% \tkzDrawLine[color=black](C,b)
+			% \tkzLabelLine[right](C,b){$b$}
+			% \tkzDefPointOnLine[pos=1.2](A,B) % dodano v 2018!
+			% \tkzGetPoint{P}
+			% \tkzInterLL(A,C)(B,D)  \tkzGetPoint{I}
+			
+			% \tkzDrawPolygon (A,B,C,D)
+			% \tkzDrawSegments(A,C B,D)
+			% \tkzMarkRightAngles[fill=Maroon!20,size=.3,opacity=.5](D,A,B A,B,C B,C,D C,D,A)
+			\tkzDrawPoints(A)
+			
+			% \tkzMarkSegments[mark=s||](I,A I,B I,C I,D)
+			% \tkzLabelPoints(C,D)
+			% \tkzLabelPoints[above=6pt](I)   
+			\tkzLabelPoints[](A)
+		\end{tikzpicture}
+	\end{center}
+	
+	\newpage
+	
+	\item Dan je konveksen osemkotnik $ABCDEFGH$.
+	
+	\begin{enumerate}[label=\textbf{\xslalph*)}]
+		\item Katera oglišča so notranje točke $\measuredangle DAG$, katera so zunanje in katera robne?
+		
+		Notranji sta F in E, robni sta G in D, zunanje pa so C, B in H.
+		
+		\item Katera oglišča so notranje točke $\measuredangle GAD$, katera so zunanje in katera robne?
+		
+		Notranje so H, B in C, robni sta G in D, zunanji pa sta E in F.
+		
+		\item Največ koliko oglišč je zunanjih točk kota, katerega vrh je v oglišču osemkotnika in katerega kraka ležita na nosilkah stranic ali diagonal osemkotnika? Nariši ustrezno sliko.
+		
+		Največ sedem. Primer: $\measuredangle HGH = \alpha$
+		
+		\begin{tikzpicture}
+			\tkzDefPoint(0,0){O} 
+			\tkzDefPoint(5,0){A}
+			\tkzDrawCircle[color = gray!10](O,A)
+			% osemkotnik: 360/8=45
+			\foreach[count=\i] \ANG in {45,45*2,45*3,45*4,45*5,45*6,45*7,45*8} {
+			   \tkzDefPoint({5*cos(\ANG*pi/180)},{5*sin(\ANG*pi/180)}){P\i}
+			}
+			\tkzDrawPolygon[](P1,P2,P3,P4,P5,P6,P7,P8) % ultra thick, color = red!50!Gold
+			\tkzDrawPoints[](P1,P2,P3,P4,P5,P6,P7,P8) % size = 15
+			% \tkzLabelPoints(P1,P2,P3,P4,P5,P6,P7,P8)
+			\tkzLabelPoint[above right](P1){$A$}
+			\tkzLabelPoint[above](P2){$B$}
+			\tkzLabelPoint[above left](P3){$C$}
+			\tkzLabelPoint[left](P4){$D$}
+			\tkzLabelPoint[below left](P5){$E$}
+			\tkzLabelPoint[below](P6){$F$}
+			\tkzLabelPoint(P7){$G$}
+			\tkzLabelPoint[right](P8){$H$}
+			\tkzDrawLine[add = .5 and 1.5](P7,P8) \tkzLabelLine[pos = 2.4, above left](P7,P8){$k_1$} % add = 1 and 1
+			\tkzDrawLine[add = .5 and 1.5](P7,P8) \tkzLabelLine[pos = 2, below right](P7,P8){$k_2$} % add = 1 and 1
+			\tkzFillAngle[fill=cyan!10](P8,P7,P8) \tkzLabelAngle[pos=2](P8,P7,P8){$\alpha$} % draw,circle,fill=cyan!10
+		\end{tikzpicture}
+	\end{enumerate}
+	
+%	\lstinputlisting[language=c]{d=nx.c}
+	\item \begin{enumerate}[label=\textbf{\xslalph*)}]\item Ali je lahko oglišč, ki so zunanje točke kota, katerega vrh je v oglišču dvajsetkotnika in katerega kraka ležita na nosilkah stranic ali diagonal tega dvajsetkotnika, prav toliko kot oglišč, ki so notranje točke tega kota?
+	
+	Ne. Če sta kraka ista poltraka, je bodisi notranjost bodisi zunanjost kota $\emptyset$, če pa gresta kraka skozi dve različni oglišči, pa nam na razpolago ostane le še sedemnajst oglišč, kar pa ni deljivo z dve.
+	
+		\item Kakšno je naravno število $n$, če je oglišč, ki so zunanje točke kota, katerega vrh je v oglišču $n$-kotnika in katerega kraka ležita na nosilkah stranic ali diagonal tega $n$-kotnika, prav toliko kot oglišč, ki so notranje točke tega kota?
+		
+		Liho. Da lahko število oglišč razdelimo na dva dela (notranja in zunanja oglišča), mora le--to biti sodo. Če gresta kraka skozi isto oglišče, je bodisi notranjost bodisi zunanjost kota $\emptyset$. Če gresta skozi dve različni oglišči, pa nam po odštevanju teh dveh oglišč in oglišča z vrhom kota od oglišč $n$ kotnika, kjer je $n$ sodo število, ostane zgolj liho število kotov, kar pa ni deljivo na dva dela.
+	\end{enumerate}	
+
+\end{enumerate}
+
+\section{Zaključek}
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}
+izvorna koda, zgodovina sprememb in prejšnje različice so na voljo mojem šolskem Git repozitoriju na
+\url{https://github.com/sijanec/sola-gimb-2} v mapi 
+\href{https://github.com/sijanec/sola-gimb-2/tree/master/mat/domace_naloge/\stevilkadn/}{/mat/domace\_naloge/ \stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je  \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/mat/domace_naloge/\stevilkadn/dokument.pdf} in/ali \url{https://github.com/sijanec/sola-gimb-2/raw/master/mat/domace_naloge/\stevilkadn/dokument.pdf}.
+
+\if\razhroscevanje1
+\section{Razhroščevalne informacije}
+Te informacije so generirane, ker je omogočeno razhroščevanje. Prej objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta.
+
+Grafi imajo natančnost \functionSamples\space točk na graf.
+
+Konec generiranja dokumenta: \input|"date -Ins"
+\fi
+%	\item $$$$
+\end{document}
diff --git a/mat/domace_naloge/3/dokument.toc b/mat/domace_naloge/3/dokument.toc
new file mode 100644
index 0000000..b40bf1f
--- /dev/null
+++ b/mat/domace_naloge/3/dokument.toc
@@ -0,0 +1,2 @@
+\contentsline {section}{\numberline {1}Učbenik \textit {Matematika 2}: Stran 15}{1}{section.1}%
+\contentsline {section}{\numberline {2}Zaključek}{2}{section.2}%