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A363839 Numbers in the witch's multiplication table (German: "Hexeneinmaleins") in Goethe's Faust.

%I A363839 #28 Jun 24 2023 05:43:34
%S A363839 1,10,2,3,4,5,6,7,8,9,1,10,0,1
%N A363839 Numbers in the witch's multiplication table (German: "Hexeneinmaleins") in Goethe's Faust.
%C A363839 In German, the witch declaims the following magic spell to Faust:
%C A363839   Du mußt verstehn!
%C A363839   Aus Eins[1] mach' Zehn[10],
%C A363839   Und Zwey[2] laß gehn,
%C A363839   Und Drey[3] mach' gleich,
%C A363839   So bist du reich.
%C A363839   Verlier' die Vier[4]!
%C A363839   Aus Fünf[5] und Sechs[6],
%C A363839   So sagt die Hex',
%C A363839   Mach' Sieben[7] und Acht[8],
%C A363839   So ist's vollbracht:
%C A363839   Und Neun[9] ist Eins[1],
%C A363839   Und Zehn[10] ist keins[0].
%C A363839   Das ist das Hexen-Einmal-Eins[1]!
%C A363839 (The numbers in "[...]" do not apppear in the original.)
%C A363839 Literal translation into English:
%C A363839   You must understand!
%C A363839   From one make ten,
%C A363839   And two let go,
%C A363839   And three make equal,
%C A363839   So you are rich.
%C A363839   Lose the four!
%C A363839   From five and six,
%C A363839   So says the witch,
%C A363839   Make seven and eight,
%C A363839   So it is finished:
%C A363839   And nine is one,
%C A363839   And ten is none.
%C A363839   This is the Witch's one-times-one!
%C A363839 .
%C A363839 From _Peter Luschny_, Jun 23 2023: (Start)
%C A363839 Sometimes the witch's one-times-one is interpreted as a construction guide for a magic square, which describes a transformation like this:
%C A363839  1  2  3        4  9  2
%C A363839  4  5  6   ->   3  5  7
%C A363839  7  8  9        8  1  6
%C A363839 (End)
%H A363839 Johann Wolfgang von Goethe: Faust - Der Tragödie erster Teil. <a href="https://de.wikisource.org/w/index.php?title=Seite:Faust_I_(Goethe)_161.jpg&amp;oldid=-">Page 161</a> and <a href="https://de.wikisource.org/w/index.php?title=Seite:Faust_I_(Goethe)_162.jpg&amp;oldid=-">page 162</a>. Tübingen: Cotta, 1808. Digital full-text edition at Wikisource, version of Aug 18 2016.
%H A363839 Poetry in Translation, <a href="https://www.poetryintranslation.com/PITBR/German/FaustIScenesIVtoVI.php#Scene_VI">Faust Scene VI</a>, translated by A. S. Kline, 2003.
%H A363839 Wikipedia (German), <a href="https://de.wikipedia.org/wiki/Hexeneinmaleins">Hexeneinmaleins</a>.
%Y A363839 Cf. A080992, A108579.
%K A363839 nonn,word,fini,full
%O A363839 1,2
%A A363839 _Georg Fischer_, Jun 23 2023