🚀 go-pugleaf

In article <7530@boring.cwi.nl> jurjen@cwi.nl (Jurjen N.E. Bos) writes:
>I'm sorry for you, but if you include the mask, you get 2^(16*16*2)
>instead of 2^(16*16+1) cases. This is a nice example of accumulation of
>errors. I'm not going to show that I can produce big numbers also,
>because I have at least three programs that can do that. By the way, it
>will give you some three lines of digits.
>-- 
>  -- Jurjen N.E. Bos (jurjen@cwi.nl)

Yes, I stand corrected.  Now, if you assume that a color icon on the
mac II is made up of an icon and a mask, both of which are 16x16 and
have 8 bits per pixel, we get 2^(16*16*16) or


	104438888141315250669175271071662438257996424904738378038423
	348328395390797155745684882681193499755834089010671443926283
	798757343818579360726323608785136527794595697654370999834036
	159013438371831442807001185594622637631883939771274567233468
	434458661749680790870580370407128404874011860911446797778359
	802900668693897688178778594690563019026094059957945343282346
	930302669644305902501597239986771421554169383555988529148631
	823791443449673408781187263949647510018904134900841706167509
	366833385055103297208826955076998361636941193301521379682583
	718809183365675122131849284636812555022599830041234478486259
	567449219461702380650591324561082573183538008760862210283427
	019769820231316901767800667519548507992163641937028537512478
	401490715913545998279051339961155179427110683113409058427288
	427979155484978295432353451706522326906139490598769300212296
	339568778287894844061600741294567491982305057164237715481632
	138063104590291613692670834285644073044789997190178146576347
	322385026725305989979599609079946920177462481771844986745565
	925017832907047311943316555080756822184657174637329688491281
	952031745700244092661691087414838507841192980452298185733897
	764810312608590300130241346718972667321649151113160292078173
	8033436090243804708340403154190336.

Now, does anyone know whether those eight bits are really a color, or
merely an index into a look-up table.  It is quite common to use the
look-up table format.  In that format, the eight bits would point to
one of 256 24-bit colors.  The result is that you can display at most
256 distinct 24-bit colors.

If they use the look-up table scheme, then 2^(16*16*16) would have to
be multiplied by the nubmer of ways to choose 256 (not necesarily
different) 24-bit numbers.  This also brings up the question of
whether two icons are the same if they look the same on the screen,
but have different internal representations.  Assuming that icons are
considered different if and only if they have different internal
representations, the number of icons on a mac II is
(2^(16*16*16))*((2^24)^256) or:

	352497141210838265713481483980028154643914213439664710603913
	826057310702768547493650483302964736638624569681553952983739
	732590494759431136198883386731161336668147068707652719076562
	056460186083699855587212676703217390319386338332818891926201
	584265318069231442392697268763999519611919803480232917034723
	057637824103945897589345856311110781204353030326888187514464
	352913713571717556327753629326947950763134366874696380043276
	893902467353218558306108568659249137608267637760032658517165
	573342106422773434757577997804990215598224124342750870843172
	934551295704067075900020717046731355275335432173559875681076
	975779467857964124560483600729656168710248662446500810590681
	830381345185142229871868373945980198595129936003792361901975
	768389050807333599890946870089994162477220200619925599314018
	723573797084885850036669659306097304307741074074940180653658
	450770943205347006923544001698241315783891536569167546822524
	255627428950268220861122361857689319404333240786923864636423
	780292915823845509040122842652771246674528169856593374975809
	915925102014797665008774278345666191563143881075857435462890
	675510524340756781953453733639195713232101136226155117651343
	296272079557936053768928759383576728708813056793055212933599
	754278019219975348914740908681134673577843597833830910857171
	008072284250312267769851973643594046830415066139436466661994
	548993636858018487767296858378032282161138338547424434092214
	804502325631304177096253207949716727377373859839755200477399
	781651249069168579319609024073978415366576503787580124091572
	059395130853242824392901089090690365154306903599631529865877
	499305168806703261450369876070529616967815564185509662018228
	218579780200625368240156976209572227380655388321870974098595
	026691965890259611994487589973737929731917233355497723948788
	740508545327859224758228364037939866231931740209314323814184
	370227604126822763829893548396254532412898071082609051342346
	791309548675704473545497601746910070785284527450279949438532
	294805445123688313787611196816167193276373081423151051205287
	046835151820383202250786653139117317493642556212844343049454
	372146094060086405209720295099554355680948888157014704194108
	891565239711821728144232741409554280705943283816670482867719
	728577034355258035447078345677740272066141434199824101092619
	306983110108578748668407438514728576453309291695484037510844
	947258937293554504737710599868010583420219027353676279009748
	723681378389963973798981614548259709107328582027812829739376
	428479733818386729806933990394293426130015951489680820100160
	610223162428423676727412654054345531072966235596044133263521
	405296181711754506578842550993346187227316979201855824371823
	913976733011681606825166392147065669814659617313748089491317
	423647529930783263677141170014042109302515381324422193350726
	720968651846913030271569624397770537072865839497640551512918
	164025464624527191347971790992102335775962779256460318241722
	748740845621134400433973951910654736207171042506860408965809
	287008425939191732838445314709522056008744823024885238670745
	329077812649908653518446848070122080391082875645348545004863
	915388760636114766656202302948114683518353740720605302159079
	09311281816131942219776.

OK, anybody want to figure out how many different _looking_ icons
there are assuming the 8-bit look-up table described above???  Also, I
ask to be corrected (gently) if I'm wrong. Thanks...

:-) :-) :-)
-- 
Marc Sarrel			The Ohio State University
611 Harely Dr #1		Department of Computer and Information Science
Columbus, OH  43202-1835	sarrel@cis.ohio-state.edu
In San Francisco, you can bay at the moon or moon at the Bay, but it doesn't    make much difference which.                                                     Disclaimer:  Hey, what do I know?  I'm only a grad student.