A regularized version (re-created from scratch with imposed symmetry) of the design on a ca. 5000 BC "Linear Pottery culture" vase found in Czechoslovakia, as depicted on page 187 of the book Goddesses and Gods of Old Europe by Marija Gimbutas (1982).  Gimbutas interprets the central element as a butterfly and/or labrys motif...
Self-made image, converted from the following vector PostScript source code:

%!
/archimdouble{
%%%%%%%%%%%%%%%%
% PostScript program to display an Archimedean spiral by approximating
% it with Bezier curves.  Can display a double spiral (two spirals
% rotated by 180 degrees with respect to each other).
%%%  Parameters:
                 % centerx = horizontal coordinate of center of spiral
                 % centery = vertical coordinate of center of spiral
                 % rotf = degrees to rotate
/sepwid 110 def  % width separating successive turnings of spiral
                 % (half this if double spiral is selected)
/incrm 18 def    % incrm = insert a curve point every these degrees
/sweeps 1.96 def % number of 360 degree turnings to show
                 % double - 0 to display single spiral, else double
%%%  Procedures:
/pi 3.1415926535898 def/radians 57.295779513082 def
/sepwid sepwid pi div 2 div def
gsave centerx centery translate rotf rotate
/aspiral{/prevbezy 0 def/first 1 def
    lower incrm sweeps 360 mul{7{dup}repeat
        phase add cos/costh exch def
        phase add sin/sinth exch def
        costh mul radians div/thcosth exch def
        sinth mul radians div/thsinth exch def
        thcosth sepwid mul/x exch def
        thsinth sepwid mul/y exch def
        /slope sinth thcosth add costh thsinth sub div def
        sinth 0 gt sinth 0 eq costh -1 eq and or{/flag -1 def}{/flag 1
            def}ifelse
        /A exch def A 49.29348 lt A 180 gt A 196.273450852 lt and A 360
            gt A 368.8301 lt and A 540 gt A 545.9907 lt and A 720 gt A
            724.5217 lt and A 900 gt A 903.6281968 lt and or or or or
            or{/flag flag neg def}if
        incrm sub 3{dup}repeat phase add cos sepwid mul mul radians div
            /prevx exch def phase add sin sepwid mul mul radians div
            /prevy exch def
        incrm add 3{dup}repeat phase add cos sepwid mul mul radians div
            /nextx exch def phase add sin sepwid mul mul radians div
            /nexty exch def
        /prevdist x prevx sub dup mul y prevy sub dup mul add sqrt pi
            div def
        /nextdist x nextx sub dup mul y nexty sub dup mul add sqrt pi
            div def
        /normaliz slope slope mul 1 add sqrt def
        0 eq{0 0 moveto/prevbezx phase cos nextdist mul def/first 0 def
            }{first 1 eq{x y moveto/first 0 def}{prevbezx prevbezy x 1
            flag mul normaliz div prevdist mul sub y slope flag mul
            normaliz div prevdist mul sub x y curveto}ifelse
        /prevbezx x 1 flag mul normaliz div nextdist mul add def
        /prevbezy y slope flag mul normaliz div nextdist mul add def}
        ifelse}
    for stroke}def
/phase 0 def aspiral
%%% If different sweeps parameter for second spiral, define here:
/sweeps 1.5 def
%%%
double 0 ne{/phase 180 def aspiral}if grestore
%%%%%%%%%%%%%%%%
}def
300 396 translate %.192 dup scale
gsave .5 dup scale 12.5 setlinewidth 1 setlinecap
/plr{.25 sub 2.47213472 12.5 mul mul dup 3 2 roll 72 mul 90 add dup 3 1
roll cos mul 3 1 roll sin mul}def/z{5 plr}def
3 z moveto 2 z 1 z 0 z 4 z 4{lineto}repeat 150 0 rlineto stroke
0 z moveto 37.5 dup 36 cos mul exch 36 sin mul rlineto stroke
0 z moveto 2.5 4 plr lineto stroke
75 43.75 moveto 75 -31.25 lineto -75 43.75 lineto -75 -31.25 lineto
closepath stroke grestore .6 dup scale/lower 0 def/double 1 def
/q{8.7589 plr/centery exch def/centerx exch def}def
0.53 q/rotf 252 def archimdouble 1.53 q/rotf 324 def archimdouble
2.53 q/rotf 36 def archimdouble 3.53 q/rotf 108 def archimdouble
4.53 q/rotf 180 def archimdouble showpage
%EOF
AnonMoos