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%I #5 Mar 30 2012 17:34:14
%S 0,0,0,2,7,4,3,2,6,8,13,5,26,25,24,15,13,16,14,19,17,24,20,25,63,60,
%T 56,55,47,53,36,38,39,43,39,35,22,24,22,21,29,30,27,26,26,21,23,19,57,
%U 62,61,55,57,57,35,50,40,29,28,26,50,51,52,61,60,60,42,42,43,43,42,41,45
%N Time wave sequence of Terrance McKenna.
%C The idea that time is experienced as a series of identifiable elements in flux is highly developed in the I Ching. Indeed the temporal modeling of the I Ching offers an extremely well-developed alternative to the "flat-duration" point of view. The I Ching views time as a finite number of distinct and irreducible elements, in the same way that the chemical elements compose the world of matter. For the Taoist sages of pre-Han China time was composed of sixty-four irreducible elements. It is upon relations among these sixty-four elements that I have sought to erect a new model of time that incorporates the idea of the conservation of novelty and still recognizes time as a process of becoming.
%C The arrangement of the hexagrams of the I Ching is the King Wen Sequence.
%H Terence McKenna, <a href="http://www.levity.com/eschaton/waveexplain.html">Timewave sequence</a>.
%H Matthew Watkins, <a href="http://www.fourmilab.ch/rpkp/autopsy.html">Autopsy for a Mathematical Hallucination?</a>
%p The formula for the values w[0], w[1],..., w[383], the 384 "data points" which lie at the heart of the entire timewave construction, can be expressed in Maple as follows:
%p h[0]:=3; h[1]:=6; h[2]:=2; h[3]:=4; h[4]:=4; h[5]:=4; h[6]:=3; h[7]:=2; h[8]:=4; h[9]:=2; h[10]:=4; h[11]:=6; h[12]:=2; h[13]:=2; h[14]:=4; h[15]:=2; h[16]:=2; h[17]:=6; h[18]:=3; h[19]:=4; h[20]:=3; h[21]:=2; h[22]:=2; h[23]:=2; h[24]:=3; h[25]:=4; h[26]:=2; h[27]:=6; h[28]:=2; h[29]:=6; h[30]:=3; h[31]:=2; h[32]:=3; h[33]:=4; h[34]:=4; h[35]:=4; h[36]:=2; h[37]:=4; h[38]:=6; h[39]:=4; h[40]:=3; h[41]:=2; h[42]:=4; h[43]:=2; h[44]:=3; h[45]:=4; h[46]:=3; h[47]:=2; h[48]:=3; h[49]:=4; h[50]:=4; h[51]:=4; h[52]:=1; h[53]:=6; h[54]:=2; h[55]:=2; h[56]:=3; h[57]:=4; h[58]:=3; h[59]:=2; h[60]:=1; h[61]:=6; h[62]:=3; h[63]:=6; h[64]:=3;
%p w[k] := abs( ((-1)^trunc((k-1)/32))* (h[k-1 mod 64] - h[k-2 mod 64] +h[ -k mod 64] - h[1-k mod 64]) + 3*((-1)^trunc((k-3)/96))* (h[trunc(k/3)-1 mod 64] - h[trunc(k/3)-2 mod 64] + h[ -trunc(k/3) mod 64] - h[1-trunc(k/3) mod 64]) + 6*((-1)^trunc((k-6)/192))* (h[trunc(k/6)-1 mod 64] - h[trunc(k/6)-2 mod 64] + h[ -trunc(k/6) mod 64] - h[1-trunc(k/6) mod 64]) ) + abs ( 9 - h[ -k mod 64] - h[k-1 mod 64] + 3*(9- h[ -trunc(k/3) mod 64] - h[ trunc(k/3)-1 mod 64]) + 6*(9- h[ -trunc(k/6) mod 64] - h[ trunc (k/6)-1 mod 64]) );
%Y Cf. A092948.
%K nonn
%O 0,4
%A _Roger L. Bagula_, Apr 19 2004
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