1+2+4+8+16+32+64+128+256+512+1024+2048+4096+8192+16384+32768+65536+131072+262144 + + 2 The Sum Of An Infinite Series Of Positive Numbers Is Negative. 5 + For Breakpoint 2004 2 4 4 + let s={1+2+4+8+...} 2 8 then s-1={2+4+8+16+...} 8 + and 2s={2+4+8+16+...} 8 1 by inspection, s-1=2s + 6 which gives us s=-1 1 + 0 3 in conclusion, {1+2+4+8+...}=-1 4 2 8 + Tools for drawing the picture: 5 6 Wacom graphire 2 A6 7 4 Open Canvas 3.03 Plus 6 + Photoshop 7.0 + 1 Approximately 2 months of work 2 2 with 50 active working-hours. 0 8 9 + HI (in no specific order) 7 2 All nice graphicians, I'm not in the mood for writing greets 5 5 #pixel #opengl #kohina @ircnet 2 6 #8bitpeoples (which moved to efnet). + + Thankyou all my friends who helped me with feedback in the working 4 5 process. 1 1 9 2 Also I'm including the full-size picture in the zipfile, since the 4 + scaledown doesn't do it full justice. 3 1 0 0 (the mistake is that{1+2+4+8+...}=infinity 4 2 and infinity-1=infinity, and infinity*2=infinity + 4 but not all infinities are equal.) 8 + 3 2 Theodore 2004 8 0 8 4 = 8+4096+8192+16384+32768+65536+131072+262144+524288+1048576+209752+4194304+838=-1