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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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<title>Life Lexicon (K)</title>
<meta name="author" content="Stephen A. Silver">
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<center><A HREF="lex.htm">Introduction</A> | <A HREF="lex_bib.htm">Bibliography</A></center></center>
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<A HREF="lex_1.htm">1-9</A> |
<A HREF="lex_a.htm">A</A> |
<A HREF="lex_b.htm">B</A> |
<A HREF="lex_c.htm">C</A> |
<A HREF="lex_d.htm">D</A> |
<A HREF="lex_e.htm">E</A> |
<A HREF="lex_f.htm">F</A> |
<A HREF="lex_g.htm">G</A> |
<A HREF="lex_h.htm">H</A> |
<A HREF="lex_i.htm">I</A> |
<A HREF="lex_j.htm">J</A> |
<A HREF="lex_k.htm">K</A> |
<A HREF="lex_l.htm">L</A> |
<A HREF="lex_m.htm">M</A> |
<A HREF="lex_n.htm">N</A> |
<A HREF="lex_o.htm">O</A> |
<A HREF="lex_p.htm">P</A> |
<A HREF="lex_q.htm">Q</A> |
<A HREF="lex_r.htm">R</A> |
<A HREF="lex_s.htm">S</A> |
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<A HREF="lex_u.htm">U</A> |
<A HREF="lex_v.htm">V</A> |
<A HREF="lex_w.htm">W</A> |
<A HREF="lex_x.htm">X</A> |
<A HREF="lex_y.htm">Y</A> |
<A href="lex_z.htm">Z</A></b></font>
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<p><a name=keys>:</a><b>keys</b> See <a href="lex_s.htm#shortkeys">short keys</a>, <a href="lex_b.htm#bentkeys">bent keys</a> and <a href="lex_o.htm#oddkeys">odd keys</a>.
<p><a name=kickbackreaction>:</a><b>kickback reaction</b> The following collision of two <a href="lex_g.htm#glider">gliders</a> whose
product is a single glider travelling in the opposite direction
to one of the original gliders. This is important in the proof
of the existence of a <a href="lex_u.htm#universalconstructor">universal constructor</a>, and in Bill Gosper's
<a href="lex_t.htm#totalaperiodic">total aperiodic</a>, as well as a number of other constructions.
<center><table cellspacing=0 cellpadding=0><tr><td><pre><a href="lexpatt:">
.....O..
......OO
.OO..OO.
O.O.....
..O.....
</a></pre></td></tr></table></center>
<p><a name=kidney>:</a><b>kidney</b> A Gosperism for <a href="lex_c.htm#century">century</a>. See also <a href="lex_d.htm#diuresis">diuresis</a>.
<p><a name=killertoads>:</a><b>killer toads</b> A pair of <a href="lex_t.htm#toad">toads</a> acting together so that they can eat
things. Here, for example, are some killer toads eating a <a href="lex_h.htm#hwss">HWSS</a>.
Similarly they can eat a <a href="lex_m.htm#mwss">MWSS</a> (but not a <a href="lex_l.htm#lwss">LWSS</a>). For another
example see <a href="lex_t.htm#twirlingttetsonsii">twirling T-tetsons II</a>. See also <a href="lex_c.htm#candlefrobra">candlefrobra</a>.
<center><table cellspacing=0 cellpadding=0><tr><td><pre><a href="lexpatt:">
..OO.......OOO
O....O....OOO.
......O.......
O.....O.......
.OOOOOO.......
..........OOO.
...........OOO
</a></pre></td></tr></table></center>
<p><a name=kleinbottle>:</a><b>Klein bottle</b> As an alternative to a <a href="lex_t.htm#torus">torus</a>, it's possible to make
a finite Life universe in the form of a Klein bottle. The simplest
way to do this is to use an <i>m</i> x <i>n</i> rectangle with the top edge joined
to the bottom edge (as for a torus) and the left edge twisted and
joined to the right.
<p><a name=knightship>:</a><b>knightship</b> Any <a href="lex_s.htm#spaceship">spaceship</a> of type (2<i>m</i>,<i>m</i>)/<i>n</i>. Such spaceships do
exist (see <a href="lex_u.htm#universalconstructor">universal constructor</a>), but no concrete example is
known. A knightship must be asymmetric and its period must be at
least 6, which makes searching for them using programs like <a href="lex_l.htm#lifesrc">lifesrc</a>
very difficult.
<p>By analogy with the corresponding fairy chess pieces, spaceships of
types (3<i>m</i>,<i>m</i>)/<i>n</i>, (3<i>m</i>,2<i>m</i>)/<i>n</i> and (4<i>m</i>,<i>m</i>)/<i>n</i> would presumably be called
camelships, zebraships and giraffeships, respectively. But no
examples of these are known either, and they are even more difficult
to search for.
<p><a name=koksgalaxy>:</a><b>Kok's galaxy</b> (p8) Found by Jan Kok in 1971. See <a href="lex_c.htm#converter">converter</a> for a
use of this <a href="lex_s.htm#sparker">sparker</a>.
<center><table cellspacing=0 cellpadding=0><tr><td><pre><a href="lexpatt:">
OOOOOO.OO
OOOOOO.OO
.......OO
OO.....OO
OO.....OO
OO.....OO
OO.......
OO.OOOOOO
OO.OOOOOO
</a></pre></td></tr></table></center>
<hr>
<center>
<font size=-1><b>
<a href="lex_1.htm">1-9</a> |
<a href="lex_a.htm">A</a> |
<a href="lex_b.htm">B</a> |
<a href="lex_c.htm">C</a> |
<a href="lex_d.htm">D</a> |
<a href="lex_e.htm">E</a> |
<a href="lex_f.htm">F</a> |
<a href="lex_g.htm">G</a> |
<a href="lex_h.htm">H</a> |
<a href="lex_i.htm">I</a> |
<a href="lex_j.htm">J</a> |
<a href="lex_k.htm">K</a> |
<a href="lex_l.htm">L</a> |
<a href="lex_m.htm">M</a> |
<a href="lex_n.htm">N</a> |
<a href="lex_o.htm">O</a> |
<a href="lex_p.htm">P</a> |
<a href="lex_q.htm">Q</a> |
<a href="lex_r.htm">R</a> |
<a href="lex_s.htm">S</a> |
<a href="lex_t.htm">T</a> |
<a href="lex_u.htm">U</a> |
<a href="lex_v.htm">V</a> |
<a href="lex_w.htm">W</a> |
<a href="lex_x.htm">X</a> |
<a href="lex_y.htm">Y</a> |
<A href="lex_z.htm">Z</A></b></font>
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