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<p>are not <a href="page.php?w=simple_group">simple</a> for values  <= .</p>

<p>There are four <a href="page.php?w=Hopf_fibration">Hopf fibration</a>s of <a href="page.php?w=hypersphere">hypersphere</a>s:</p>

<p>They are defined as locally trivial <a href="page.php?w=fibration">fibration</a>s that map  for values of  (aside from the trivial fibration mapping between two <a href="page.php?w=Point_%28geometry%29">points</a> and a <a href="page.php?w=circle">circle</a>).</p>

<p>In <a href="page.php?w=Knuth%27s_up-arrow_notation">Knuth's up-arrow notation</a>, , and so forth, for any number of up arrows.</p>

<p>There are four dimensions in the theory of <a href="page.php?w=Minkowski_space">Minkowski space</a>, three of space and the one being time.</p>

<p><big>List of basic calculations</big></p>
<p><big>In culture</big></p>
<p>
*Four is the sacred number of the <a href="page.php?w=Zia_%28New_Mexico%29">Zia</a>, an indigenous tribe located in the U.S. state of <a href="page.php?w=New_Mexico">New Mexico</a>.<br/>
*<a href="page.php?w=tetraphobia">Superstition about the number four</a> is most common in <a href="page.php?w=East_Asia">East Asia</a>n nations, where it is a <a href="page.php?w=homonym">homonym</a> for "death" in many languages.</p>

<p><big>In technology</big></p>
<p>
*In <a href="page.php?w=internet_slang">internet slang</a>, "4" can replace the word "for" (as "four" and "for" are pronounced similarly). For example, messaging "4 u" instead of "for you" when talking to someone.<br/>
*In <a href="page.php?w=Leet">Leet</a>speak, "4" may be used to replace the letter "A".</p>

<p><big> Notes </big></p>
<p><big>References</big></p>
<p>
*Wells, D. <a href="page.php?w=The_Penguin_Dictionary_of_Curious_and_Interesting_Numbers">The Penguin Dictionary of Curious and Interesting Numbers</a> London: Penguin Group. (1987): 55-58</p>

<p><big>External links</big></p>
<p>
*<br/>
*, by Penelope Merritt at samuel-beckett.net<br/>
*<br/>
*<br/>
*</p>

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