bottle in a cube

8/13/2019 Bottle in a Cube

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1 Wù wgii okkh b skt `c ebws tnbt wgii nìh tnk aujk skaurkiy - tnksk brk fbhk cr`f8=ff piy nkih go tkfpibtk ebws ò b sarìi anuad

8 @oak tnk aujk gs aut boh skaurkiy nkih fkbsurk boh fbrd tnk gogtgbi `pkogolrkqugrk

; @oak tnk `pkogol gs fbrdkh ùt, hùjik-ankad tnk ebws nbvk skaurkiy iàdkh tnkaujk go pibak jkc`rk stbrtgol tnk ibtnk



3 [sk tnk tkfpibtk t` sn`w tnk hkptn boh tnk wghtn. Fkbsurk rkluibriy t` bv`gh krr`r

< @oak tnk argtgabi wghtn boh hkptn gs bangkvkh, usk tnk snbpkh sarbpkr t` aut tnka`rokr brkbs

> @oak tnk `pkogol gs aut, sboh tnk cbak wgtn tnk spnkrk kxp`skh, tnko rkiàbtk tnkaujk boh rkpkbt tnk pràkss ò tnk cùr `tnkr sghks



7 @oak tnk cgctn wgoh`w gs c`rfkh boh tnk a`rokr skatgòs brk aut t` jikoh tnkspnkrk, yù o`w okkh t` tbdk b hrgii boh ò b abrhj`brh tkfpibtk lrgh

2= ...tnko stbrt t` nìi`w tnk spnkrk t` tnk a`rrkat snbpk boh tngadokss

22 Gt wgii jk okakssbry t` usk b t`ì tnbt nbs kgtnkr bo `cc-skt tgp `r b swbo-okad `c s`fk s`rt, t` cgogsn `cc tnk spnkrk



2: Ankad rkluibriy t` kosurk yù brk bt tnk a`rrkat tngadokss bs tngs gs yùr ibstanboak t` bheust. A`rrkat boh cgogsn tngs pbrt `c tnk prèkat

21 Xnk cùr wgoh`ws boh t`p wgoh`w nbvk jkko aut boh tnk spnkrk nìi`wkh t` tnka`rrkat tngadokss

28 ê₩¦òk piul gs rkqugrkh c`r kban wgoh`w yù nbvk aut. Xnksk brk l`gol t` supp`rttnk spnkrk go b cgxkh p`sgtgò wngik yù aut tnk ibst wgoh`w boh rkikbsk tnk spnkrk go

tnk aujk



2; Cgt tnk piul go tnk wgoh`w `pp`sgtk tnk uo-aut cbak boh tnko, wgtn tnk piuls gopibak, skaurk tnk aujk go tnk anuad...

23 ê₩¦tnko wrbp lbcckr tbpk, `r tnk kqugvbikot, brùoh tnk aujk t` skaurkiy nìh tnkpiuls go pibak

2< O`w fbrd tnk wgoh`w sgzk ò tnk ibst uo-aut cbak boh aut tnk wgoh`w t` tnka`rrkat hgbfktkr boh hkptn



2> O`w rkf`vk tnk aujk cr`f tnk anuad boh rkf`vk tnk piuls. Xnk spnkrk gs o`wrkbhy t` jk sbohkh

27 Qighk tnk spnkrk `vkr tnk h`wki, jrgol up tnk tbgistàd boh aibfp tnk spnkrk òt`tnk h`wki

:= \gtn tnk spnkrk aibfpkh go pibak, wgtn iglnt prkssurk, swgtan ò tnk ibtnk boh skttnk spkkh t` bppr`xgfbtkiy 1==rpf



:2 O`w yù okkh t` rk-anuad tnk aujk - o`tk tnk `cc-auts `c c`bf-jbadkh bjrbsgvkt` lkotiy nìh tnk spnkrk go pibak

:: ê₩¦tbdk b spgohik lùlk boh aut b lkotik goaurvk got` tnk cbak `c tnk aujk, jutkosurk o`t t` jk t`` bllrkssgvk

:1 @oak nbppy wgtn tnk aurvbturk boh cgogsn rk-anuad boh aut bii tnk `tnkr cbaks,kxakpt tnk j`tt`f wngan rkfbgos cibt



:8 Xngs gs wnbt tnk aujk i``ds igdk wgtn bii tnk cgvk cbaks aurvkh boh sbohkh wgtn tnkjbsk cibt

:; \gtn tnk aujk a`fpiktk gt gs o`w tgfk t` fbdk tnk okad c`r tnk gotkrobi spnkrk

:3 ...boh snbpk tnk okad boh t`p skatg`o `c tnk spnkrk t` turo gt got` b j`ttik - tngs gsb trufpkt c`rf



:< Zkvkrsk fùot boh turo tnk rkst `c tnk trufpkt c`rf, auttgol b sfbii pbrbiikitkoò bt tnk vkry koh. Xnk c`rf gs o`w t`tbiiy nìi`w

:> Xngs sn`ws bo bitkrobtgvk gtkf go ykw wgtn b hgcckrkot okad c`rf

Hbvgh Qprgolktt's j`ttik go b spnkrk, sn`wo go ngs \``hturogol \gzbrhry j``d, ikh t`fk kxpkrgfkotgol wgtn tnk hksglo, boh uitgfbtkiy arkbtgol tngs prèkat ùt `c b sìghpgkak `c w``h. G nbh t` kxpkrgfkot wgtn b vbrgkty `c w``hs boh bppr`banks jkc`rk Gwbs bjik t` pkrckat gt, boh G kvkotubiiy abfk t` tnk aòaiusgò tnbt ankrry (]ruousspp.) wbs tnk jkst fbtkrgbi t̀ usk.

Fy cgrst trgbi boh krr`r bppr`ban uskh b pgkak `c bsn (Crbxgous spp.) wngan G pibokh,

sbwkh boh sbohkh t` tnk kxbat fkbsurkfkots `c >;ff (1 2/8go). Xnk pr`jikf Gcbakh wbs n`w t` lkt tnk spnkrk a`fpiktkiy crkk gosghk tnk j`x go tnk kglntùtkr-f`st a`rokrs. Xnk spnkrk wbs stgii nkih jy tnk igttik trgboliks, wngan fystbohbrh t`ìs wkrk o`t bjik t` rkban. Kvkotubiiy, G wbs bjik t` aut tnksk trgbolikswgtn b sfbii rkagpràbtgol sbw jibhk nkih go b Qtboiky dogck nìhkr.

Fy skaòh bttkfpt, usgol ykw boh lrkobhgii`, hkvki`pkh tngs ghkb curtnkr boh G fbhkbo`tnkr aujk, jut tngs tgfk lgvgol f`rk bttkotgò t` tnk skqukoak `c w`rd ci`w bohprkpbrgol s`fk t`ìs. G bis` wbotkh t` hkvki`p tngs t` nìi`w tnk spnkrk t` arkbtk bigttik j`ttik go b aujk.

X`ìs uskh1ff (2/>go) boh 2=ff (1/>go) pbrtgol t`ì, 3ff (2/8go) boh 2:ff (2/:go) spgohiklùlk, b vkry p`gotkh sarbpkr, b spkagbi uohkrauttgol t`ì, boh jkot boh strbglntnìi`wgol t`ìs



Qtkp 2

Qkikat b hry, fkhguf t` cgok-lrbgokh pgkak `c w``h, tnko sbw, pibok boh sboh gt t`tnk kxbat hgfkosgòs `c tnk aujk, >;ff (1 2/8go). Wù wgii okkh b spkagbiuohkrauttgol t`ì c`r auttgol tnk a`rokrs jktwkko tnk aujk boh spnkrk. Xbdk bo ìhsarbpkr boh fbdk b cuii-sgzk hrbwgol `c tnk aujk boh hrbw go b agraik `c <7ff (11/>go). Xnk ùtkr agraufckrkoak `c tnk spnkrk boh tnk gotkrobi hgbfktkr `c tnk spnkrkwgii jk 3ff (2/8go) sfbiikr. Xnk kxtkrobi agraufckrkoak wgii jk tnk bra rkqugrkh c`r

tnk auttgol t`ì - skk `pp`sgtk hrbwgol bs t` n`w tngs gs t` jk snbpkh. Xnk brakhbrkb gs o`t snbrp, bs gt okkhs t` rghk tnk surcbak `c tnk spnkrk wgtnùt auttgol gt. @oiytnk tgp gs snbrp t` skvkr tnk a`rokr skatgò t` crkk tnk jbii. Wù wgii bis` okkh btkfpibtk t̀ fkbsurk tnk wghtn `c tnk wgoh`w boh tnk aurvbturk `c tnk spnkrk, wnganabo jk fbhk ùt `c stgcc abrhj`brh. ]rbatgsk wgtn tngs tkanogquk bs gt tbdks b aùpik`c bttkfpts t` lkt uskh t` crkkgol tnk jbii

Qtkp :

Wù wgii okkh b skt `c ebws tnbt wgii nìh tnk aujk skaurkiy - tnksk brk fbhk cr`f8=ff (2 ;/>go) piy nkih go tkfpibtk ebws ò b sarìi anuad wngan nbvk jkko fbrdkh

boh aut t` bii`w tnk pkrckat nìhgol `c tnk aujk. Xnk hkptn gs bjùt :=ff (1/8go)Qtkp 1

@oak tnk aujk gs aut boh skaurkiy nkih, fkbsurk boh fbrd tnk gogtgbi `pkogolrkqugrkh

Qtkp 8

@oak tnk `pkogol gs fbrdkh ùt, hùjik-ankad tnk ebws nbvk skaurkiy iàdkh tnkaujk go pibak jkc`rk stbrtgol tnk ibtnk. Xnko, aut tnk `pkogol wgtn b spgohik lùlk,tbdgol abrk o`t t` l` t`` cbr go tkrfs `c hkptn boh wghtn bs tnksk `pkogols brk bargtgabi sgzk

Qtkp ;

[sk tnk tkfpibtk t` sn`w tnk hkptn boh tnk wghtn. Fkbsurk rkluibriy t` bv`gh krr`r

Qtkp 3

@oak tnk argtgabi wghtn boh hkptn gs bangkvkh usk tnk snbpkh sarbpkr t` aut tnka`rokr brkbs. Qi`w lkotik auts brk okakssbry wgtn b vkry snbrp t`ì. Xnk bra wgii rghktnk c`rf `c tnk spnkrk, boh bs yù rghk tnk sarbpkr brùoh gt, gt wgii aut tnk a`rokrskatgò aikboiy

Qtkp <

@oak tnk `pkogol gs aut, sboh tnk cbak wgtn tnk spnkrk kxp`skh, tnko rkiàbtk tnkaujk boh rkpkbt tnk pràkss ò tnk cùr `tnkr sghks. Wù wgii skk tnk spnkrk jkgolc`rfkh go tnk aujk f`rk aikbriy bs f`rk wgoh`ws brk arkbtkh

Qtkp >

@oak tnk cgctn wgoh`w gs c`rfkh boh tnk a`rokr skatgòs brk aut t` jikoh tnk spnkrk,yù o`w okkh t` tbdk b hrgii boh ò b abrhj`brh tkfpibtk lrgh fbrd tnk hkptnrkqugrkh boh tnko hrgii b nìk got` tnk akotrk `c tnk spnkrk t` tnbt hkptn...

Qtkp 7

...tnko stbrt t` nìi`w tnk spnkrk t` tnk a`rrkat snbpk boh tngadokss. Xngs gs òiyp`ssgjik jkabusk tnk spnkrk gs stgii nkih go pibak jy tnk sgolik rkfbgogol cbak tnbt gsykt t` jk aut - tngs wgii jk w`rdkh ò t` rkikbsk tnk spnkrk ibtkr. Wù abo h` b i`t `c tnk nìi`wgol wgtn b spgohik lùlk cìi`wkh jy b strbglnt sarbpkr `c yùr an`gak, jutwnbtkvkr t`ì yù usk, kosurk t` st`p boh aikbo ùt tnk hust rkluibriy. Cbgiurk t` h`



s` wgii rksuit go b abtan wgtn tnk t`ì `r tnk t`ì cbgigol t` aut

Qtkp 2=

Gt wgii jk okakssbry t` usk b t`ì tnbt nbs kgtnkr bo `cc-skt tgp `r b swbo-okad `c s`fk s`rt, t` cgogsn `cc tnk spnkrk. Xnk arbodkh skatgò `c tnk t`ì fust okvkr jk goaòtbat wgtn tnk t`ìrkst. Gostkbh, b strbglnt skatgò `c tnk snbod snùih jk uskh t`kosurk aòtrì `c tnk t`ì bt bii tgfks - tnk ibst tngol yù okkh bt tngs stblk gs b abtan

Qtkp 22

Ankad rkluibriy t` kosurk yù brk bt tnk a`rrkat tngadokss bs tngs gs yùr ibst anboakt` bheust, a`rrkat boh cgogsn tngs pbrt `c tnk prèkat. Abiigpkrs brk ghkbi t` usk c`r tngsprèkat bs tnk `pkogol gs t`` sfbii c`r yùr cgolkr t` jk uskh. Dkkp bheustgol bohrkcgogol tnk gotkrobi snbpk uotgi yù brk nbppy

Qtkp 2:

Xnk cùr wgoh`ws boh t`p wgoh`w nbvk jkko aut boh tnk spnkrk nìi`wkh t` tnka`rrkat tngadokss. Xnk spnkrk gs stgii nkih jy tnk ibst rkfbgogol j`tt`f cbak. Zkf`vktnk aujk cr`f tnk anuad boh arkbtk cgvk w``hko piuls t` tnk fgfga tnk snbpk `c tnk

abrhj`brh tkfpibtk. Xnksk wgii okkh t` pr`truhk b igttik cr`f tnk wgoh`ws òak cgttkht` kobjik yù t` rkf`vk tnkf kbsgiy ibtkr...

Qtkp 21

@ok piul gs rkqugrkh c`r kban wgoh`w yù nbvk aut. Xnksk brk l`gol t` supp`rt tnkspnkrk go b cgxkh p`sgtgò wngik yù aut tnk ibst wgoh`w boh rkikbsk tnk spnkrk go tnkaujk. Xngs pràkss boh tnk piul c`rfs brk argtgabi. @ok goa`rrkatiy cgttgol piul abobii`w tnk spnkrk t` f`vk hurgol tnk cgobi auttgol stblk boh rugo tnk wnìk prèkat.Xnky h` o`t nbvk t` jk sf``tn4 eust tnk a`rrkat snbpk t` supp`rt tnk gookr spnkrk

Qtkp 28

Cgt tnk piul go tnk wgoh`w `pp`sgtk tnk uo-aut cbak boh tnko wgtn tnk piuls go pibak,skaurk tnk aujk go tnk anuad...

Qtkp 2;

tnko wrbp lbcckr tbpk, `r tnk kqugvbikot, brùoh tnk aujk t` skaurkiy nìh tnk piulsgo pibak. Gc yù h` o`t tnky wgii ciy i``sk boh abusk tnk spnkrk t` jk uosupp`rtkh

Qtkp 23

O`w fbrd tnk wgoh`w sgzk ò tnk ibst uo-aut cbak boh aut tnk wgoh`w t` tnk a`rrkathgbfktkr boh hkptn. Aut bs jkc`rk boh usk tnk snbpkh sarbpkr t` rkikbsk cr`f tnk

aujkQtkp 2<

O`w rkf`vk tnk aujk cr`f tnk anuad boh rkf`vk tnk piuls - tnk spnkrk gs o`wrkbhy t` jk sbohkh. Arkbtk b h`wki eust b igttik uohkr tnk hgbfktkr sgzk `c tnk`pkogol nìk go tnk spnkrk, wngan gs iòl koùln t` tùan tnk j`tt`f `c tnk spnkrkhkptn. Xngs gs l`gol t` jk b crgatgò hrgvk t` kobjik yù t` sboh tnk j`tt`f cbak `c tnk spnkrk

Qtkp 2>

Qighk tnk spnkrk `vkr tnk h`wki, jrgol up tnk tbgistàd boh aibfp tnk spnkrk òt` tnk

h`wkiQtkp 27

\gtn tnk spnkrk aibfpkh go pibak wgtn iglnt prkssurk, swgtan ò tnk ibtnk boh skt tnkspkkh t` bppr`xgfbtkiy 1==rpf. Xnk spnkrk snùih r`tbtk jut tnk aujk gs nkih



skaurkiy. Xngs fby i``d `hh, jut nbvgol tnk brfs aikbriy ùt `c tnk wby `c tnk anuadwgii bii`w yù t` sboh tnk j`tt`f skatgò `c tnk spnkrk. H` o`t w`rry bjùt tnksiglnt gohkot cr`f tnk rkvìvgol akotrk, bs tngs abo jk p`wkr sbohkh ùt b igttik ibtkr

Qtkp :=

O`w yù okkh t` rk-anuad tnk aujk (o`tk tnk `cc-auts `c c`bf-jbadkh bjrbsgvk t`lkotiy nìh tnk spnkrk go pibak). @oak ogakiy soul...

Qtkp :2

Xbdk b spgohik lùlk boh aut b lkotik goaurvk got` tnk cbak `c tnk aujk, jut kosurko`t t` jk t`` bllrkssgvk. Xnk lkotiy aurvkh cbak i``ds b i`t jkttkr tnbo b cibt òk.@oak tnk lkotik go-swkkpgol cbak gs aut, sboh t` tnk cgogsn rkqugrkh

Qtkp ::

@oak nbppy wgtn tnk aurvbturk boh cgogsn rk-anuad boh aut bii tnk `tnkr cbaks, kxakpttnk j`tt`f wngan rkfbgos cibt. Bs jkc`rk, kosurk tnbt tnk spnkrk gs supp`rtkh wgtntnk c`bf-jbadkh bjrbsgvk

Qtkp :1

Xngs gs wnbt tnk aujk i``ds igdk wgtn bii tnk cgvk cbaks aurvkh boh sbohkh wgtn tnkjbsk cibt

Qtkp :8

\gtn tnk aujk a`fpiktk gt gs o`w tgfk t` fbdk tnk okad c`r tnk gotkrobi spnkrk. Xbdkb pgkak `c tgfjkr, syabf`rk (Bakr pskuh`pibtbous) go tngs absk...

Qtkp :;

...boh snbpk tnk okad boh t`p skatgò `c tnk spnkrk t` turo gt got` b j`ttik - tngs gs btrufpkt c`rf. Xnko, nìi`w ùt tnk gosghk `c tnk c`rf t` b cgok tngadokss

Qtkp :3

Zkvkrsk fùot boh turo tnk rkst `c tnk trufpkt c`rf, auttgol b sfbii pbrbiiki tkoòbt tnk vkry koh - o`tk tnk c`rf gs o`w t`tbiiy nìi`w. Cgt b aòtrbstgol pgkak `c tgfjkrt` tnk j`tt`f boh cgogsn snbpgol gt t` tnk cgogsnkh `pkogol sgzk go tnk spnkrk bohsboh. Qboh t` snbpk, liuk go pibak boh tnko bppiy tw` a`bts `c b cgogsn `c yùr an`gakboh jucc t` b cgok cgogsn

Qtkp :<

Xnk j`ttik go b aujk wgii bfbzk boyòk wn` skks gt

NBOHW NGOXQ2. \nko prkpbrgol tnk aujk kosurk yù fbdk b jbad- up go absk yù fbdk bfgstbdk bt boy p`got:. Bitnùln gt gs p`ssgjik t` usk lrkko w``h, gt gs jkttkr t` usk wkii-skbsòkh tgfjkr1. [sk fkhguf t` cgok-lrbgokh w``h spkagks, suan bs bsn, ykw, ankrry, wbiout bohr`jgogb

8. Kxpkrgfkot wgtn fbdgol b sìgh spnkrk go b aujk jkc`rk yù bppr`ban tngs prèkat;. H` o`t usk b juccgol wnkki ò tnk ibtnk t` cgogsn tnk nìi`w spnkrk bs tngs gs vkry

crblgik boh wgii o`t survgvk tnk pràkss - usk b s`ctkr fktn`h gostkbh3. C`r baaurbay, kosurk yù usk tnk tkfpibtk bs fuan bs p`ssgjik wngist fbdgol tnkpgkak<. ]by spkagbi bttkotgò t` turogol tnk j`tt`f pbrt `c tnk aujk bs tngs gs tnk f`fkot



tnk spnkrk a`fks i``sk

]rgotkh cr`f nttp5//www.w``hw`rdkrsgostgtuk.a`f || 27/2=/:=21

[oikss `tnkrwgsk stbtkh, bii a`otkot gs © A`pyrglnt :=21 Xnk LFA Lr`up IXH. Biirglnts rkskrvkh.

bottle in a cube

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