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superprismatic
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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 by superprismatic
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Permutation: (3 5 4 1 2)

Literary piece: Edgar Allan Poe - The Raven

Text is: ONCEUPONAMIDNIGHTDREARYWHILEIPONDEREDWEAKANDWEARYOVERMANYAQUAINTANDCURIOUSVOLUMEOFFORGOTTENLOREWHILEINODDEDNEARLYNAPPINGSUDDENLYTHERECAMEATAPPINGASOFSOMEONEGENTLYRAPPINGRAPPINGATMYCHAMBERDOORTISSOMEVISITORIMUTTEREDTAPPINGATMYCHAMBERDOORONLYTHISANDNOTHINGMOREAHDISTINCTLYIREMEMBERITWASINTHEBLEAKDECEMBERANDEACHSEPARATEDYINGEMBERWROUGHTITSGHOSTUPONTHEFLOOREAGERLYIWISHEDTHEMORROWVAINLYIHADSOUGHTTOBORROWFROMMYBOOKSSURCEASEOFSORROWSORROWFORTHELOSTLENOREFORTHERAREANDRADIANTMAIDENWHOMTHEANGELSNAMEDLENORENAMELESSHEREFOREVERMOREANDTHESILKENSADUNCERTAINRUSTLINGOFEACHPURPLECURTAINTHRILLEDMEFILLEDMEWITHFANTASTICTERRORSNEVERFELTBEFO

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