Pseudoscalar Quindecuplet

Pseudoscalar Quindecuplet for usdc Quarks

By Daniel Boyce, August, 2023

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\documentclass[tikz,border=10pt]{standalone}
\usepackage{tikz-3dplot}
\begin{document}
%  Constants
\newcommand*{\rtop}{3}% Radius of top level
\newcommand*{\rmid}{5}%  Radius of middle level
\newcommand*{\rbot}{3}% Radius of bottom level
\newcommand*{\h}{4}%  Height difference between levels
%  Particle Ball
\newcommand\particle[1]{% 
     \begin{tikzpicture}
          \filldraw[shading=ball,ball color=white!100!black] (0,0) circle(0.4);
          \node at (0,0) {#1};
     \end{tikzpicture}  
}
\begin{tikzpicture}[scale=0.9]
%  Coordinate System of the Quarks
     \draw[->] ({-\rmid-4},0,0) --({-\rmid-2},0,0) node[below] {Charge};
     \draw[->] ({-\rmid-4},0,0) -- ({-\rmid-4},0,-2) node[above right] {Strangeness};
     \draw[->] ({-\rmid-4},0,0) -- ({-\rmid-4},2,0) node[right] {Charm};
%  Coordinates
%  Top Level
     \coordinate (cs) at ({\rtop*cos(90)},\h,{-\rtop*sin(90)});
     \coordinate (cu) at ({\rtop*cos(225)},\h,{-\rtop*sin(225)});
     \coordinate (cd) at ({\rtop*cos(315)},\h,{-\rtop*sin(315)});
%  Middle Level
     \coordinate (ud) at ({\rmid*cos(0)},0,{-\rmid*sin(0)});
     \coordinate (us) at ({\rmid*cos(60)},0,{-\rmid*sin(60)});
     \coordinate (ds) at ({\rmid*cos(120)},0,{-\rmid*sin(120)});
     \coordinate (du) at ({\rmid*cos(180)},0,{-\rmid*sin(180)});
     \coordinate (su) at ({\rmid*cos(240)},0,{-\rmid*sin(240)});
     \coordinate (sd) at ({\rmid*cos(300)},0,{-\rmid*sin(300)});
     \coordinate (uudd2ss) at (-0.8,0,0);
     \coordinate (uudd) at (0,0,0);
 
 
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