Respuesta1
¿Se puede hacer algo como esto? Sí. Lo más probable es que las curvas en la parte superior derecha sean una especie de círculos de Apolonio (¿proporción áurea?), pero era demasiado vago para buscarlas.
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{intersections,decorations.text}
\definecolor{c1}{RGB}{62, 97, 127}
\definecolor{c2}{RGB}{104, 182, 182}
\definecolor{c3}{RGB}{107, 190, 190}
\definecolor{c4}{RGB}{100, 172, 174}
\begin{document}
\thispagestyle{empty}
\begin{tikzpicture}[overlay,remember picture,font=\sffamily\bfseries]
\draw[very thick,c4,name path=big arc] ([xshift=-2mm]current page.north) arc(150:285:11)
coordinate[pos=0.225] (x0);
\begin{scope}
\clip ([xshift=-2mm]current page.north) arc(150:285:11) --(current page.north
east);
\fill[c4!50,opacity=0.25] ([xshift=4.55cm]x0) circle (4.55);
\fill[c4!50,opacity=0.25] ([xshift=3.4cm]x0) circle (3.4);
\fill[c4!50,opacity=0.25] ([xshift=2.25cm]x0) circle (2.25);
\draw[very thick,c4!50] (x0) arc(-90:30:6.5);
\draw[very thick,c4] (x0) arc(90:-30:8.75);
\draw[very thick,c4!50,name path=arc1] (x0) arc(90:-90:4.675);
\draw[very thick,c4!50] (x0) arc(90:-90:2.875);
\path[name intersections={of=big arc and arc1,by=x1}];
\draw[very thick,c4,name path=arc2] (x1) arc(135:-20:4.75);
\draw[very thick,c4!50] (x1) arc(135:-20:8.75);
\path[name intersections={of=big arc and arc2,by={aux,x2}}];
\draw[very thick,c4!50] (x2) arc(180:50:2.25);
\end{scope}
\path[decoration={text along path,text color=c4,
raise = -2.8ex,
text along path,
text = {|\sffamily\bfseries|02/18/2019},
text align = center,
},
decorate
] ([xshift=-2mm]current page.north) arc(150:245:11);
%
\begin{scope}
\path[clip,postaction={fill=c3}]
([xshift=2cm,yshift=-8cm]current page.center) rectangle ++ (4.2,7.7);
\fill[c2] ([xshift=0.5cm,yshift=-8cm]current page.center)
([xshift=0.5cm,yshift=-8cm]current page.center) arc(180:60:2)
|- ++ (-3,6) --cycle;
\draw[very thick,c4] ([xshift=-1.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\draw[very thick,c4] ([xshift=0.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\draw[very thick,c4] ([xshift=2.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\draw[very thick,c4] ([xshift=4.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\fill[red] ([xshift=2.5cm,yshift=-8cm]current page.center) +(60:2) circle(1.5mm)
node[above right=2mm]{$\displaystyle\rho=\frac{1+\sqrt{-3}}{2}$};
\end{scope}
%
\fill[c1] ([xshift=2cm,yshift=-8cm]current page.center) rectangle ++ (-12.7,7.7);
\node[text=white,anchor=west,scale=5,inner sep=0pt] at
([xshift=-8cm,yshift=-3.25cm]current page.center) {Some text};
\node[text=white,anchor=west,scale=2.5,inner sep=0pt] at
([xshift=-8cm,yshift=-6cm]current page.center) {Some text};
%
\draw[gray,line width=5mm]
([xshift=2mm,yshift=-1mm]current page.south west) rectangle ([xshift=-2mm,yshift=1mm]current
page.north east);
\end{tikzpicture}
\end{document}
Apéndice: versión con aportaciones de Henri Menke y Raaja (¡gracias!).
\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{intersections,decorations.text}
\definecolor{c1}{RGB}{62, 97, 127}
\definecolor{c2}{RGB}{104, 182, 182}
\definecolor{c3}{RGB}{107, 190, 190}
\definecolor{c4}{RGB}{100, 172, 174}
\definecolor{c5}{RGB}{95, 162, 162}
\begin{document}
\thispagestyle{empty}
\begin{tikzpicture}[overlay,remember picture,font=\sffamily\bfseries]
\draw[ultra thick,c4,name path=big arc] ([xshift=-2mm]current page.north) arc(150:285:11)
coordinate[pos=0.225] (x0);
\begin{scope}
\clip ([xshift=-2mm]current page.north) arc(150:285:11) --(current page.north
east);
\fill[c4!50,opacity=0.25] ([xshift=4.55cm]x0) circle (4.55);
\fill[c4!50,opacity=0.25] ([xshift=3.4cm]x0) circle (3.4);
\fill[c4!50,opacity=0.25] ([xshift=2.25cm]x0) circle (2.25);
\draw[ultra thick,c4!50] (x0) arc(-90:30:6.5);
\draw[ultra thick,c4] (x0) arc(90:-30:8.75);
\draw[ultra thick,c4!50,name path=arc1] (x0) arc(90:-90:4.675);
\draw[ultra thick,c4!50] (x0) arc(90:-90:2.875);
\path[name intersections={of=big arc and arc1,by=x1}];
\draw[ultra thick,c4,name path=arc2] (x1) arc(135:-20:4.75);
\draw[ultra thick,c4!50] (x1) arc(135:-20:8.75);
\path[name intersections={of=big arc and arc2,by={aux,x2}}];
\draw[ultra thick,c4!50] (x2) arc(180:50:2.25);
\end{scope}
\path[decoration={text along path,text color=c4,
raise = -2.8ex,
text along path,
text = {|\sffamily\bfseries|02/18/2019},
text align = center,
},
decorate
] ([xshift=-2mm]current page.north) arc(150:245:11);
%
\begin{scope}
\path[clip,postaction={fill=c3}]
([xshift=2cm,yshift=-8cm]current page.center) rectangle ++ (4.2,7.7);
\draw[c5,ultra thick,fill=c2] ([xshift=0.5cm,yshift=-8cm]current page.center)
([xshift=0.5cm,yshift=-8cm]current page.center) arc(180:60:2)
|- ++ (-3,6) --cycle;
\draw[ultra thick,c5] ([xshift=-1.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\draw[ultra thick,c5] ([xshift=0.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\draw[ultra thick,c5] ([xshift=2.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\draw[ultra thick,c5] ([xshift=4.5cm,yshift=-8cm]current page.center)
arc(180:0:2);
\fill[red] ([xshift=2.5cm,yshift=-8cm]current page.center) +(60:2) circle(1.5mm)
node[above
right=2mm,text=c5!80!black]{$\rho:=\dfrac{1+\sqrt{-3}}{2}$};
\end{scope}
%
\fill[c1] ([xshift=2cm,yshift=-8cm]current page.center) rectangle ++ (-12.7,7.7);
\node[text=white,anchor=west,scale=5,inner sep=0pt] at
([xshift=-8cm,yshift=-3.25cm]current page.center) {Some text};
\node[text=white,anchor=west,scale=2.5,inner sep=0pt] at
([xshift=-8cm,yshift=-6cm]current page.center) {Some text};
%
\draw[gray,line width=5mm]
([xshift=2mm,yshift=-1mm]current page.south west) rectangle ([xshift=-2mm,yshift=1mm]current
page.north east);
\end{tikzpicture}
\end{document}