superprismatic Posted October 22, 2010 Report Share Posted October 22, 2010 (edited) The first 625 letters of the beginning of a famous American literary piece are written into a 5×5×5×5 hypercube, H, in the following way: H(1,1,1,1) gets the first letter, H(2,1,1,1) gets the second letter, H(3,1,1,1) gets the third letter, H(4,1,1,1) gets the fourth letter, H(5,1,1,1) gets the fifth letter, H(1,2,1,1) gets the sixth letter, H(2,2,1,1) gets the seventh letter, H(3,2,1,1) gets the eigth letter, H(4,2,1,1) gets the ninth letter, H(5,2,1,1) gets the tenth letter, H(1,3,1,1) gets the eleventh letter, H(2,3,1,1) gets the twelfth letter, ... etc. In other words, the indices increment in a reverse odometric manner. Then, for each of the 4 dimensions, the 5 faces (which are cubes) are permuted amongst each other, using a 5-long permutation -- the same permutation is used for each dimension. The resulting hypercube of letters, written out in the same reverse odometric manner, is NTDAIDEMIATHFRORAADNREEAR DLAEMREEONOMNHWSNGLEANTEH TOGTHROBROAIOVWOUASDIHNYL TLLSOREEONSORWOHEOTRWFROR SECAEOROSFOMWRFURKSSOOMBY ITMWENTHAFLLHIREDILLEFEMD ELEFRFOTEBICATSEVRNSROTRE RMEEVANOERELNMAORRFEHEESS URLCENTTIANGTILRPHUPACOEF TACREUSIRNESDHTUNSDAENIKL RENOLLEWIHMEOULTEGTOOROFF NGPIPDESDUDDIONNARYLEAEND REHDTWHAYREUOCNIGINDAMPNO URNCDSVIUOMAVRETAANIQUNAY DWKNAYOERAIPIELEAEWDERODN POSUTEFNHTROEWRHOTGSTIUHG THHDERREOMRELOOISYWIRLAEG LYNTCMEIERGMHNITIDSIAHOER YITDEMBNEGNDEARRAEAPHSECA KDLAEMBEECRIMEBEBNHTSITAW INAPPMYGTAORSTIDTEERTTIUM SATIHOTNNDMBCAHLYRNOOOEDR NGPIPFSAOSTHNYLTAMAECAEER SSRITVIOEMMYGTAOOEDRMBCAH GRPNIINAPPONOEMAPLRYNTEEG [/code] What is the literary piece? What is the permutation needed to unscramble the above hypercube of letters? Edited October 22, 2010 by superprismatic Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 22, 2010 Report Share Posted October 22, 2010 A Tale of Two Cities Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted October 23, 2010 Author Report Share Posted October 23, 2010 A Tale of Two Cities I can't tell you that you are right unless you answer both parts of the question correctly. Quote Link to comment Share on other sites More sharing options...
0 bushindo Posted October 23, 2010 Report Share Posted October 23, 2010 3 5 4 1 2 This it is, and nothing more Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 23, 2010 Report Share Posted October 23, 2010 A Tale of Two Cities The first 625 letters of the beginning of a famous American literary piece [...] I think you already have your answer... Quote Link to comment Share on other sites More sharing options...
0 araver Posted October 24, 2010 Report Share Posted October 24, 2010 Permutation: (3 5 4 1 2) Literary piece: Edgar Allan Poe - The Raven Text is: ONCEUPONAMIDNIGHTDREARYWHILEIPONDEREDWEAKANDWEARYOVERMANYAQUAINTANDCURIOUSVOLUMEOFFORGOTTENLOREWHILEINODDEDNEARLYNAPPINGSUDDENLYTHERECAMEATAPPINGASOFSOMEONEGENTLYRAPPINGRAPPINGATMYCHAMBERDOORTISSOMEVISITORIMUTTEREDTAPPINGATMYCHAMBERDOORONLYTHISANDNOTHINGMOREAHDISTINCTLYIREMEMBERITWASINTHEBLEAKDECEMBERANDEACHSEPARATEDYINGEMBERWROUGHTITSGHOSTUPONTHEFLOOREAGERLYIWISHEDTHEMORROWVAINLYIHADSOUGHTTOBORROWFROMMYBOOKSSURCEASEOFSORROWSORROWFORTHELOSTLENOREFORTHERAREANDRADIANTMAIDENWHOMTHEANGELSNAMEDLENORENAMELESSHEREFOREVERMOREANDTHESILKENSADUNCERTAINRUSTLINGOFEACHPURPLECURTAINTHRILLEDMEFILLEDMEWITHFANTASTICTERRORSNEVERFELTBEFO Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted October 26, 2010 Author Report Share Posted October 26, 2010 Bushindo and araver got it! Quote Link to comment Share on other sites More sharing options...
Question
superprismatic
The first 625 letters of the beginning
of a famous American literary piece
are written into a 5×5×5×5 hypercube,
H, in the following way:
H(1,1,1,1) gets the first letter,
H(2,1,1,1) gets the second letter,
H(3,1,1,1) gets the third letter,
H(4,1,1,1) gets the fourth letter,
H(5,1,1,1) gets the fifth letter,
H(1,2,1,1) gets the sixth letter,
H(2,2,1,1) gets the seventh letter,
H(3,2,1,1) gets the eigth letter,
H(4,2,1,1) gets the ninth letter,
H(5,2,1,1) gets the tenth letter,
H(1,3,1,1) gets the eleventh letter,
H(2,3,1,1) gets the twelfth letter,
... etc.
In other words, the indices increment
in a reverse odometric manner. Then,
for each of the 4 dimensions, the 5
faces (which are cubes) are permuted
amongst each other, using a 5-long
permutation -- the same permutation
is used for each dimension. The
resulting hypercube of letters, written
out in the same reverse odometric
manner, is
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