xn(x,y) = 1 - A*y + abs(x)
yn(x,y) = x
xr(x,y) = cos(3*pi/4)*x + sin(3*pi/4)*y
yr(x,y) = -sin(3*pi/4)*x + cos(3*pi/4)*y

set samples 20000
set term pngc enh font "Arial,8" size 480,480
set out "gingerbreadman.png"
unset key
set size square
set border lc rgb "gray60"
set xrange [-7:7]
set yrange [-10:4]

set multiplot lay 2,2
do for [i=0:3] {
A = 1.0 + 0.000025*i 
xp = xc = -0.1
yp = yc = 0.0
set label 1 sprintf("A = %f", A) at -6,3 front
plot '+' u (xc=xn(xp,yp), yc=yn(xp,yp), xr(xc,yc)) : \
           (xp=xc,yp=yc,yr(xc,yc)) w d lc rgb "dark-goldenrod"
}
unset multiplot
!display gingerbreadman.png

# xn(x,y) = 1 - 0.99998878065*y + abs(x):