\documentclass[10pt,a4paper]{article}

% Packages
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\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
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%\usepackage[utf8x]{inputenc}    % For unicode character support
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\usepackage{colortbl}           % For coloured tables
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\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{sams sub}
\pdfinfo{
  /Title (waves.pdf)
  /Creator (Cheatography)
  /Author (sams sub)
  /Subject (waves Cheat Sheet)
}

% Lengths and widths
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% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{waves Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{sams sub} via \textcolor{DarkBackground}{\uline{cheatography.com/167999/cs/35763/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}sams sub \\
  \uline{cheatography.com/sams-sub} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 28th November, 2022.\\
   Updated 5th January, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{x{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{key words}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{amplitude}} & is half of the distance between a waves high point {\bf{crest}} and low point {\bf{trough}}. Amplitude measures how much a wave is displaced from its resting point. \tn 
% Row Count 7 (+ 7)
% Row 1
\SetRowColor{white}
{\bf{wavelength}} & is measured from a point on one wave to the same point on the next wave and is written as {\bf{λ}} (Greek letter for lamba). The difference in colours is caused by different wavelengths of light. {\emph{Red has the longest wavelength in the rainbow while purple has the shortest}} \tn 
% Row Count 18 (+ 11)
% Row 2
\SetRowColor{LightBackground}
{\bf{oscillation}} & an up-and-down or back-and-forth motion \tn 
% Row Count 20 (+ 2)
% Row 3
\SetRowColor{white}
{\bf{vacuum}} & space that has no matter in it \tn 
% Row Count 22 (+ 2)
% Row 4
\SetRowColor{LightBackground}
{\bf{frequency}} & the number of waves that pass a fixed point in a given unit of time is written as {\bf{f}} \tn 
% Row Count 26 (+ 4)
% Row 5
\SetRowColor{white}
{\bf{node}} & the node of a wave is where the wave doesn't move \tn 
% Row Count 28 (+ 2)
% Row 6
\SetRowColor{LightBackground}
{\bf{antinode}} & the part of the wave where it moves the most away from the centre \tn 
% Row Count 31 (+ 3)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{8.4cm}{x{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{key words (cont)}}  \tn
% Row 7
\SetRowColor{LightBackground}
{\bf{wave speed}} & is the speed at which the energy is transferred through the medium \tn 
% Row Count 3 (+ 3)
% Row 8
\SetRowColor{white}
{\bf{transverse Wave}} & are when the oscillations are perpendicular to the direction of the waves advance \tn 
% Row Count 7 (+ 4)
% Row 9
\SetRowColor{LightBackground}
{\bf{longitudinal wave}} & are when the displacement is parallel to the direction of the wave \tn 
% Row Count 10 (+ 3)
% Row 10
\SetRowColor{white}
{\bf{overtone}} & generally applied to any higher-frequency standing wave \tn 
% Row Count 13 (+ 3)
% Row 11
\SetRowColor{LightBackground}
{\bf{fundamental}} & the frequency at which the entire wave vibrates \tn 
% Row Count 15 (+ 2)
% Row 12
\SetRowColor{white}
{\bf{stationary waves}} & when two waves are moving at the same time in opposite directions, both having the same amplitude and frequency \tn 
% Row Count 20 (+ 5)
% Row 13
\SetRowColor{LightBackground}
{\bf{Displacement }} & how far the quantity that is in oscillation has moved from its mean \tn 
% Row Count 23 (+ 3)
% Row 14
\SetRowColor{white}
{\bf{Period}} & time taken for a wave to pass \tn 
% Row Count 25 (+ 2)
% Row 15
\SetRowColor{LightBackground}
{\bf{ electromagnetic}} & is a continuous range of wavelengths {\bf{electro}} contains electric energy {\bf{magnetic}} contains magnetic disturbance** \tn 
% Row Count 30 (+ 5)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{8.4cm}{x{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{key words (cont)}}  \tn
% Row 16
\SetRowColor{LightBackground}
{\bf{phase difference}} & The difference in phase angle of two different waves with the same frequency \tn 
% Row Count 3 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{5.92 cm} x{2.08 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{equations}}  \tn
% Row 0
\SetRowColor{LightBackground}
frequency = 1/time or time = frequency/1 & f=1/t or T=f/1 \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
speed= frequency x wavelength & v=f x λ \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
wavespeed = frequency x wavelength & v=f x λ \tn 
% Row Count 6 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.28 cm} x{2.66 cm} x{2.66 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{electromagnetic spectrum}}  \tn
% Row 0
\SetRowColor{LightBackground}
 & uses & dangers \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
{\bf{radio waves}} (3x10\textasciicircum{}9\textasciicircum{}) & \seqsplit{Telecommunication}, TV, radio & None \tn 
% Row Count 4 (+ 3)
% Row 2
\SetRowColor{LightBackground}
{\bf{microwaves}} (3x10\textasciicircum{}12\textasciicircum{}) & Cooking, \seqsplit{telecommunication}, RADAR & None \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
{\bf{infra red radiation}} (4x10\textasciicircum{}14\textasciicircum{}) & Heating, cooking, TV remotes, night vision & Can burn \tn 
% Row Count 10 (+ 3)
% Row 4
\SetRowColor{LightBackground}
{\bf{visible light}}     (10\textasciicircum{}-6\textasciicircum{}) & photography, illumination & erythema, pigmentation, thermal damage, free radical, production \tn 
% Row Count 15 (+ 5)
% Row 5
\SetRowColor{white}
{\bf{ultra violet }}(10\textasciicircum{}-9\textasciicircum{}) & killing bacteria, creating fluorescent effects, curing inks and resins, phototherapy, sun tanning, security & skin cancer, premature ageing \tn 
% Row Count 23 (+ 8)
% Row 6
\SetRowColor{LightBackground}
{\bf{X-rays }}(10\textasciicircum{}-6\textasciicircum{}) & looks at bones & causes cancer \tn 
% Row Count 25 (+ 2)
% Row 7
\SetRowColor{white}
{\bf{gamma rays }}(10\textasciicircum{}-4\textasciicircum{}) & radio therapy, sterilisation and disinfection, nuclear industry & Causes cancer \tn 
% Row Count 30 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{the laws of refraction}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Light waves (or electromagnetic radiation of other frequencies) travel best in a vacuum (a space without any matter in it)} \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{When the waves have to travel through solid, opaque materials, their movement {\bf{IS STOPPED}} by {\emph{the electronic charges of the atoms and molecules around them}} e.g Metals that are full of freely moving electrons stop the oscillations completely and so the light wave energy is reflected back – metals therefore look shiny and make good mirrors. Some waves are absorbed in solids, with certain waves being reflected back so that we are able to see colours} \tn 
% Row Count 13 (+ 10)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{In transparent materials {\emph{(water, glass and many plastics)}} the waves are {\bf{NOT STOPPED}} or {\bf{ABSORBED}} but they are slowed down} \tn 
% Row Count 16 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Diagrams}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{} \tn 
% Row Count 0 (+ 0)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{{\bf{transverse wave}} \seqsplit{https://i.ytimg.com/vi/-HW8JcL8wms/maxresdefault.jpg}} \tn 
% Row Count 2 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{{\bf{ longitudinal wave}} \seqsplit{https://cdn1.byjus.com/wp-content/uploads/2020/07/Longitudinal-Waves-1.png}} \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{{\bf{stationary wave}} \seqsplit{https://www.a-levelphysicstutor.com/images/waves/statw-formation.jpg}} \tn 
% Row Count 6 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}