Do within Matlab code:

The vertices are:

A $(2\mathrm{.}88,5)$

B $(-2\mathrm{.}88,5)$

C $(-5\mathrm{.}77,0)$

D $(-2\mathrm{.}88,-5)$

E $(2\mathrm{.}88,-5)$

F $(5\mathrm{.}77,0)$

$($a$)$ Create a Half$-$Edge table for the edges a$,$b$,$c$,$d$,$e and f$.$

$($b$)$ Create a Winged$-$Edge table for the edges a$,$b$,$c$,$d$,$e and f$.$