# Obfuscated code or piece of art?¶

This short notebooks shows a few examples of Python code, designed to draw something, and shaped as what they will draw...

## Mandelbrot set¶

This nice little code will write a visualization of the Mandelbrot set, on the domain $[-3, 3] \times [-3i, 3i]$, for $1500 \times 1500$ points, as a Bitmap (written manually in binary).

In [2]:
%%time
b_                                      =   (
255,
lambda
V       ,B,c
:c   and Y(V*V+B,B,  c
-1)if(abs(V)<6)else
(              2+c-4*abs(V)**-0.4)/i
)  ;v,      x=1500,1000;C=range(v*x
);import  struct;P=struct.pack;M,\
j  ='<QIIHHHH',open('art/M.bmp','wb').write
for X in j('BM'+P(M,v*x*3+26,26,12,v,x,1,24))or C:
i  ,Y=_;j(P('BBB',*(lambda T:(T*80+T**9
*i-950*T  **99,T*70-880*T**18+701*
T  **9     ,T*i**(1-T**45*2)))(sum(
[              Y(0,(A%3/3.+X%v+(X/v+
A/3/3.-x/2)/1j)*2.5
/x   -2.7,i)**2 for  \
A       in C
[:9]])
/9)
)   )

/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:20: DeprecationWarning: integer argument expected, got float

CPU times: user 3min 43s, sys: 296 ms, total: 3min 44s
Wall time: 3min 43s


## Penrose patterns¶

This second nice little code will write a visualization of a Penrose tiling (infinite pattern) to a PNG image, of resolution $2000 \times 2000$.

In [3]:
%%time
_                                 =\
"""if!
1:"e,V=200
0,(0j-1)**-.2;
v,S=.5/  V.real,
[(0,0,4      *e,4*e*
V)];w=1          -v"def!
E(T,A,              B,C):P
,Q,R=B*w+                A*v,B*w+C
*v,A*w+B*v;retur              n[(1,Q,C,A),(1,P
,Q,B),(0,Q,P,A)]*T+[(0,C            ,R,B),(1,R,C,A)]*(1-T)"f
or!i!in!_[:11]:S       =sum([E          (*x)for       !x!in!S],[])"imp
ort!cair               o!as!O;      s=O.Ima               geSurfac
e(1,e,e)               ;c=O.Con  text(s);               M,L,G=c.
move_to                ,c.line_to,c.s                et_sour
ce_rgb                a"def!z(f,a)                :f(-a.
imag,a.       real-e-e)"for!T,A,B,C!in[i       !for!i!
in!S!if!i[""";exec(reduce(lambda x,i:x.replace(chr
(i),"\n "[34-i:]),   range(   35),_+"""0]]:z(M,A
);z(L,B);z         (L,C);         c.close_pa
th()"G             (.4,.3             ,1);c.
paint(             );G(.7             ,.7,1)
;c.fil             l()"fo             r!i!in
!range             (9):"!             g=1-i/
8;d=i/          4*g;G(d,d,d,          1-g*.8
)"!def     !y(f,a):z(f,a+(1+2j)*(     1j**(i
/2.))*g)"!for!T,A,B,C!in!S:y(M,C);y(L,A);y(M
,A);y(L,B)"!c.st            roke()"s.write_t
o_png('art/                    penrose.png')
"""                                       ))

CPU times: user 4.17 s, sys: 20 ms, total: 4.19 s
Wall time: 4.18 s


## Bitcoin address & private key generator¶

This is the most concise (and the most sexy!) implementation of the Bitcoin protocol to generate a new address and private key!

In [26]:
%%time
_                   =r"""A(W/2,*M(3*G
*G*V(2*J%P),G,J,G)+((M((J-T
)*V((G-S)%P),S,T,G)if(S@(G,J))if(
W%2@(S,T)))if(W@(S,T);H=2**256;import&h
ashlib&as&h,os,re,bi    nascii&as&k;J$:int( k.b2a_hex(W),16);C$:C    (W/    58)+[W%58]if(W@
[];X=h.new("rip           em    d160");Y$:h.sha25 6(W).digest();I$                 d=32:I(W/256,d-1)+
chr(W%256)if(d>0@"";                  U$:J(k.a2b_base 64(W));f=J(os.urando m(64)) %(H-U("AUVRIxl Qt1/EQC2hcy/JvsA="))+ 1;M$Q,R,G       :((W*W-Q-G)%P,
(W*(G+2*Q-W*W)-R)%P)       ;P=H-2**       32-977;V$Q=P,L= 1,O=0:V(Q%W,W,O-Q/W* L,L)if(W@O%P;S, T=A(f,U("eb5mfvncu6 xVoGKVzocLBwKb/Nst zijZWfKBWxb4F5g="), U("SDra dyajxGVdpPv8DhEI qP0XtEimhVQZnEfQj/ sQ1Lg="), 0,0);F$:"1"+F(W
[1:])if(W[:1           ]=="\0"@""        .join(map(B,C(
J(W))));K$: F(W +Y(Y(W))[:4]); X.update(Y("\4"+ I(S)+I(T)));B$
:re.sub("[0OIl    _]|            [^\\w]","","".jo
W.replace(*X),zip(" \n&$@",["","", " ","=lambda W,",")else "]) ,"A$G,J,S,T:"+_))

Address: 1PMc1Xt6AMaBhDkX4De6nEPMA8XtDDLJhL