[math-fun] Eleven letter quintuple anagram
Date: 2017-03-07 10:04 From: Thane Plambeck <tplambeck@gmail.com>
The early MARCIONITES often performed RAMISECTION while wearing ACTINOMERIS that grew among ROMANICITES.
Umm, can I borrow your wordlist?
(roger phillips) http://www.grayzonecomics.com/comics ?? --rwg
On Tue, Mar 7, 2017 at 9:29 AM Allan Wechsler <acwacw@gmail.com> wrote:
"Cretin? So am I."
On Tue, Mar 7, 2017 at 5:12 AM, Hans Havermann <gladhobo@bell.net> wrote:
rwg> {"anisometric", "creationism", "miscreation", "reactionism", "romanticise"}
Marcionites?
In response to my five words taking an inexcusable 8 hrs., NeilB wrote You've almost certainly already figured out how to generate the anagrams faster, but here's a function (using GroupBy and associations) that does it fast enough:
words = Union[DictionaryLookup[], WordData[]] In[12]:= Length[words] Out[12]= 196529 groups = tim[Values[GroupBy[words,Sort[Characters[#]]&]]]; 0., 187710 (really about a second) In[27]:= MaximalBy[groups,Length] Out[27]= {{capers,crapes,escarp,pacers,parsec,recaps,scrape,secpar,spacer}} [secpar seems to be the old term for parsec] Unfortunately, while finding the maximum anagram groups is fast for arbitrary-length words, the table of maximal anagram groups in English becomes a bit repetitive (if still interesting) after a bit: In[38]:= Column[%] Out[38]= {{12,21},{13,31},{14,41},{15,51},{16,61},{17,71},{18,81},{ 19,91},{23,32},{24,42},{25,52},{26,62},{27,72},{28,82},{29, 92},{34,43},{35,53},{36,63},{37,73},{38,83},{39,93},{45,54} ,{46,64},{47,74},{48,84},{49,94},{56,65},{57,75},{58,85},{ 59,95},{67,76},{68,86},{69,96},{78,87},{79,97},{89,98},{AB, BA},{AC,CA},{AD,DA},{ah,ha},{AI,IA},{AL,LA},{am,ma},{Am,mA} ,{AM,MA},{AR,RA},{AS,SA},{at,ta},{ay,ya},{Bk,kB},{BM,MB},{ BS,SB},{cd,dc},{CD,DC},{CE,EC},{ci,ic},{CT,TC},{cx,xc},{DE, ED},{di,id},{DM,MD},{DO,OD},{DS,SD},{eh,he},{EL,LE},{em,me} ,{er,re},{et,te},{FL,LF},{FM,MF},{gm,mg},{HN,NH},{ho,oh},{ il,li},{IP,PI},{IR,RI},{is,si},{it,ti},{iv,vi},{IV,VI},{IW, WI},{ix,xi},{IX,XI},{KO,OK},{lm,ml},{lo,ol},{ls,sl},{lx,xl} ,{LX,XL},{MN,NM},{mo,om},{MP,PM},{MS,SM},{MT,TM},{mu,um},{ no,on},{NT,TN},{nu,un},{os,so},{rs,sr},{TV,VT},{TX,XT}} {{ate,eat,eta,tae,tea}} {{ates,east,eats,etas,sate,seat,seta,teas}} [ates seems to mean candy shop.] {{asper,pares,parse,pears,rapes,reaps,spare,spear},{ least,slate,stale,steal,stela,tales,teals,tesla}} [To this add presa, as in presa canario, alternatively a point of uptake of a voice of a canon. Unalternatively, the point where the dog starts howling.] {{capers,crapes,escarp,pacers,parsec,recaps,scrape,secpar,spacer}} {{antsier,nastier,retains,retinas,retsina,stainer,stearin}} {{angriest,astringe,gantries,granites,ingrates,rangiest}} {{concenter,concentre,connecter,reconnect}} {{persistent,pinsetters,presentist,prettiness}} {{anisometric,creationism,miscreation,reactionism,romanticise}} {{center stage,centre stage,secret agent},{change state,change taste,state change},{depositional,despoilation,despoliation}} {{abnormalities,marbleisation},{accroides gum,gum accroides},{antiparticles, paternalistic},{attentiveness,tentativeness},{blackish-gray, grayish-black},{blackish-grey,greyish-black},{bluish-purple, purplish-blue},{brownish-gray,grayish-brown},{brownish-grey,greyish-brown},{cavalry horse,horse cavalry},{center spread,centre spread},{certification,rectification},{cherry laurel,laurel cherry},{coalitionists,solicitations},{commissioners,recommissions},{computer user,supreme court},{conservations,conversations},{conservatoire,overreactions},{crevalle jack,jack crevalle},{derequisition,requisitioned},{east by north,north by east},{east by south,south by east},{exploitations, sexploitation},{grayish-green,greenish-gray},{greenish-grey,greyish-green},{hornet's nest,hornets' nest},{imperfections,perfectionism},{interactional, intercalation},{lavender-pink,pink-lavender},{line spectrum,spectrum line},{movie theater,movie theatre},{natural fiber,natural fibre},{north by west,west by north},{optical fiber,optical fibre},{photographers, rephotographs},{restrengthens,strengtheners},{saber-toothed,sabre-toothed},{south by west,west by south},{statelessness,tastelessness},{stomach upset,upset stomach},{theater stage,theatre stage},{verifications,versification}} {{air-to-surface,surface-to-air},{Alaskan Native,Native Alaskan},{barnacle goose,goose barnacle},{blackish-brown,brownish-black},{brownish-green,greenish-brown},{buyer's market,buyers' market},{cardiomyopathy,myocardiopathy},{cartridge font,font cartridge},{center of mass,centre of mass},{certifications,rectifications},{chemical agent,climate change},{chinchilla rat,rat chinchilla},{chocolate milk,milk chocolate},{clock pendulum,pendulum clock},{conservatoires,conservatories},{ consolidations,disconsolation},{dial telephone,telephone dial},{dinner theater,dinner theatre},{disintegration,disorientating},{ egocentrically,geocentrically},{Holy Sepulcher,Holy Sepulchre},{impressibility,permissibility},{impressiveness,permissiveness} ,{interrogatives,tergiversation},{little theater,little theatre},{lusterlessness,lustrelessness},{petrol station,tortoise plant},{propitiousness,superpositions},{saber rattling,sabre rattling},{sulfamethazine,sulfamezathine},{theater of war,theatre of war},{theater ticket,theatre ticket}} {{algorithmically,logarithmically},{brownish yellow,yellowish brown},{Canadian French,French Canadian},{conservationist,conversationist},{cubic decimeter,cubic decimetre},{cubic kilometer,cubic kilometre},{delta hepatitis,hepatitis delta},{false miterwort,false mitrewort},{genus Myrciaria,genus Myricaria},{greenish yellow,yellowish green},{head over heels,heels over head},{inferior rectus,rectus inferior},{jerboa kangaroo,kangaroo jerboa},{lead tetraethyl,tetraethyl lead},{library program,program library},{micromillimeter,micromillimetre},{Pieter Breughel,Pieter Brueghel},{rectus superior,superior rectus},{seller's market,sellers' market},{shopping center,shopping centre},{theater curtain,theatre curtain}} {{atomic number 12,atomic number 21},{atomic number 13,atomic number 31},[. . .],{atomic number 89,atomic number 98},{Canandaigua Lake,Lake Canandaigua},{configurationism,misconfiguration},{cubic centimeter,cubic centimetre},{cubic millimeter,cubic millimetre},{family Aceraceae,family Arecaceae},{family Oestridae,family Ostreidae},{genus Canachites,genus Chaenactis},{marmalade orange,orange marmalade},{parental quality,paternal quality},{printing process,process printing},{Prunus americana,Prunus armeniaca},{theater director,theatre director},{whited sepulcher,whited sepulchre}} {{atomic number 101,atomic number 110},{cappuccino coffee,coffee cappuccino},{center of gravity,centre of gravity},{chlorohydric acid,hydrochloric acid},{fiber optic cable,fibre optic cable},{operating theater,operating theatre},{Pistia stratiotes,Pistia stratoites},{sodium thiopental,thiopental sodium},{true lover's knot,true lovers' knot}} {{center of buoyancy,centre of buoyancy},{Douay-Rheims Bible,Rheims-Douay Bible},{instrumental music,musical instrument},{loan participation,participation loan},{philosopher's wool,philosophers' wool},{vaudeville theater,vaudeville theatre}} {{center of attention,centre of attention},{center of curvature,centre of curvature},{center of flotation,centre of flotation},{center of immersion,centre of immersion},{encephalomeningitis,meningoencephalitis},{group psychotherapy,psychotherapy group},{kilometers per hour,kilometres per hour},{philosopher's stone,philosophers' stone}} {{bleu cheese dressing,blue cheese dressing},{Douay-Rheims Version,Rheims-Douay Version}} {{Adams-Stokes syndrome,Stokes-Adams syndrome},{chromatography column,column chromatography},{theater of operations,theatre of operations}} {{air-to-surface missile,surface-to-air missile},{Eaton-Lambert syndrome,Lambert-Eaton syndrome},{part to whole relation,whole to part relation}} {{execution of instrument,instrument of execution},{florist's chrysanthemum,florists' chrysanthemum}} {{analog-digital converter,digital-analog converter},{Black English Vernacular,Black Vernacular English}} {{Creutzfeldt-Jakob disease,Jakob-Creutzfeldt disease},{Tweedledee and Tweedledum,Tweedledum and Tweedledee}} {{analog-to-digital converter,digital-to-analog converter}} {{American War of Independence,War of American Independence}} {{electronic imitative deception,imitative electronic deception}} {{electronic simulative deception,simulative electronic deception},{fiber-optic transmission system,fibre-optic transmission system}} {{electronic manipulative deception,manipulative electronic deception}} I do like "supreme court/computer user" and "petrol station / tortoise plant", though! ----------------------- Neil went on to find the analogous anagrams in In[50]:= DictionaryLookup[All] Out[50]= {Arabic,BrazilianPortuguese,Breton,BritishEnglish,Catalan, Croatian,Danish,Dutch,English,Esperanto,Faroese,Finnish, French,Galician,German,Hebrew,Hindi,Hungarian,IrishGaelic, Italian,Latin,Polish,Portuguese,Russian,ScottishGaelic,Spanish,Swedish}
The largest example this program turned up is this incredible 34-word set from Hebrew: בוערי ביעור ביערו יבוער יבערו יובער יועבר יורבע יורעב ... --rwg
I liked those anthropoequine battles with liverworts — the MARCHANTIACEOUS CENTAUROMACHIAS . Also that large filming bat, you know, the MEGACHIROPTERAN CINEMATOGRAPHER . Then there's those chemically altered hagfish: BASIPARACHROMATIN MARSIPOBRANCHIATA . What, doesn't quantity make up for quantity? —Dan
On Mar 7, 2017, at 3:48 PM, Bill Gosper <billgosper@gmail.com> wrote:
Date: 2017-03-07 10:04 From: Thane Plambeck <tplambeck@gmail.com>
The early MARCIONITES often performed RAMISECTION while wearing ACTINOMERIS that grew among ROMANICITES.
Umm, can I borrow your wordlist?
(roger phillips) http://www.grayzonecomics.com/comics ?? --rwg
On Tue, Mar 7, 2017 at 9:29 AM Allan Wechsler <acwacw@gmail.com> wrote:
"Cretin? So am I."
On Tue, Mar 7, 2017 at 5:12 AM, Hans Havermann <gladhobo@bell.net> wrote:
rwg> {"anisometric", "creationism", "miscreation", "reactionism", "romanticise"}
Marcionites?
In response to my five words taking an inexcusable 8 hrs., NeilB wrote You've almost certainly already figured out how to generate the anagrams faster, but here's a function (using GroupBy and associations) that does it fast enough:
words = Union[DictionaryLookup[], WordData[]]
In[12]:= Length[words] Out[12]= 196529
groups = tim[Values[GroupBy[words,Sort[Characters[#]]&]]]; 0., 187710 (really about a second)
In[27]:= MaximalBy[groups,Length] Out[27]= {{capers,crapes,escarp,pacers,parsec,recaps,scrape,secpar,spacer}}
[secpar seems to be the old term for parsec]
Unfortunately, while finding the maximum anagram groups is fast for arbitrary-length words, the table of maximal anagram groups in English becomes a bit repetitive (if still interesting) after a bit:
In[38]:= Column[%] Out[38]= {{12,21},{13,31},{14,41},{15,51},{16,61},{17,71},{18,81},{ 19,91},{23,32},{24,42},{25,52},{26,62},{27,72},{28,82},{29, 92},{34,43},{35,53},{36,63},{37,73},{38,83},{39,93},{45,54} ,{46,64},{47,74},{48,84},{49,94},{56,65},{57,75},{58,85},{ 59,95},{67,76},{68,86},{69,96},{78,87},{79,97},{89,98},{AB, BA},{AC,CA},{AD,DA},{ah,ha},{AI,IA},{AL,LA},{am,ma},{Am,mA} ,{AM,MA},{AR,RA},{AS,SA},{at,ta},{ay,ya},{Bk,kB},{BM,MB},{ BS,SB},{cd,dc},{CD,DC},{CE,EC},{ci,ic},{CT,TC},{cx,xc},{DE, ED},{di,id},{DM,MD},{DO,OD},{DS,SD},{eh,he},{EL,LE},{em,me} ,{er,re},{et,te},{FL,LF},{FM,MF},{gm,mg},{HN,NH},{ho,oh},{ il,li},{IP,PI},{IR,RI},{is,si},{it,ti},{iv,vi},{IV,VI},{IW, WI},{ix,xi},{IX,XI},{KO,OK},{lm,ml},{lo,ol},{ls,sl},{lx,xl} ,{LX,XL},{MN,NM},{mo,om},{MP,PM},{MS,SM},{MT,TM},{mu,um},{ no,on},{NT,TN},{nu,un},{os,so},{rs,sr},{TV,VT},{TX,XT}}
{{ate,eat,eta,tae,tea}}
{{ates,east,eats,etas,sate,seat,seta,teas}}
[ates seems to mean candy shop.]
{{asper,pares,parse,pears,rapes,reaps,spare,spear},{ least,slate,stale,steal,stela,tales,teals,tesla}}
[To this add presa, as in presa canario, alternatively a point of uptake of a voice of a canon. Unalternatively, the point where the dog starts howling.]
{{capers,crapes,escarp,pacers,parsec,recaps,scrape,secpar,spacer}}
{{antsier,nastier,retains,retinas,retsina,stainer,stearin}}
{{angriest,astringe,gantries,granites,ingrates,rangiest}}
{{concenter,concentre,connecter,reconnect}}
{{persistent,pinsetters,presentist,prettiness}}
{{anisometric,creationism,miscreation,reactionism,romanticise}}
{{center stage,centre stage,secret agent},{change state,change taste,state change},{depositional,despoilation,despoliation}}
{{abnormalities,marbleisation},{accroides gum,gum accroides},{antiparticles, paternalistic},{attentiveness,tentativeness},{blackish-gray, grayish-black},{blackish-grey,greyish-black},{bluish-purple, purplish-blue},{brownish-gray,grayish-brown},{brownish-grey,greyish-brown},{cavalry horse,horse cavalry},{center spread,centre spread},{certification,rectification},{cherry laurel,laurel cherry},{coalitionists,solicitations},{commissioners,recommissions},{computer user,supreme court},{conservations,conversations},{conservatoire,overreactions},{crevalle jack,jack crevalle},{derequisition,requisitioned},{east by north,north by east},{east by south,south by east},{exploitations, sexploitation},{grayish-green,greenish-gray},{greenish-grey,greyish-green},{hornet's nest,hornets' nest},{imperfections,perfectionism},{interactional, intercalation},{lavender-pink,pink-lavender},{line spectrum,spectrum line},{movie theater,movie theatre},{natural fiber,natural fibre},{north by west,west by north},{optical fiber,optical fibre},{photographers, rephotographs},{restrengthens,strengtheners},{saber-toothed,sabre-toothed},{south by west,west by south},{statelessness,tastelessness},{stomach upset,upset stomach},{theater stage,theatre stage},{verifications,versification}}
{{air-to-surface,surface-to-air},{Alaskan Native,Native Alaskan},{barnacle goose,goose barnacle},{blackish-brown,brownish-black},{brownish-green,greenish-brown},{buyer's market,buyers' market},{cardiomyopathy,myocardiopathy},{cartridge font,font cartridge},{center of mass,centre of mass},{certifications,rectifications},{chemical agent,climate change},{chinchilla rat,rat chinchilla},{chocolate milk,milk chocolate},{clock pendulum,pendulum clock},{conservatoires,conservatories},{ consolidations,disconsolation},{dial telephone,telephone dial},{dinner theater,dinner theatre},{disintegration,disorientating},{ egocentrically,geocentrically},{Holy Sepulcher,Holy Sepulchre},{impressibility,permissibility},{impressiveness,permissiveness} ,{interrogatives,tergiversation},{little theater,little theatre},{lusterlessness,lustrelessness},{petrol station,tortoise plant},{propitiousness,superpositions},{saber rattling,sabre rattling},{sulfamethazine,sulfamezathine},{theater of war,theatre of war},{theater ticket,theatre ticket}}
{{algorithmically,logarithmically},{brownish yellow,yellowish brown},{Canadian French,French Canadian},{conservationist,conversationist},{cubic decimeter,cubic decimetre},{cubic kilometer,cubic kilometre},{delta hepatitis,hepatitis delta},{false miterwort,false mitrewort},{genus Myrciaria,genus Myricaria},{greenish yellow,yellowish green},{head over heels,heels over head},{inferior rectus,rectus inferior},{jerboa kangaroo,kangaroo jerboa},{lead tetraethyl,tetraethyl lead},{library program,program library},{micromillimeter,micromillimetre},{Pieter Breughel,Pieter Brueghel},{rectus superior,superior rectus},{seller's market,sellers' market},{shopping center,shopping centre},{theater curtain,theatre curtain}}
{{atomic number 12,atomic number 21},{atomic number 13,atomic number 31},[. . .],{atomic number 89,atomic number 98},{Canandaigua Lake,Lake Canandaigua},{configurationism,misconfiguration},{cubic centimeter,cubic centimetre},{cubic millimeter,cubic millimetre},{family Aceraceae,family Arecaceae},{family Oestridae,family Ostreidae},{genus Canachites,genus Chaenactis},{marmalade orange,orange marmalade},{parental quality,paternal quality},{printing process,process printing},{Prunus americana,Prunus armeniaca},{theater director,theatre director},{whited sepulcher,whited sepulchre}}
{{atomic number 101,atomic number 110},{cappuccino coffee,coffee cappuccino},{center of gravity,centre of gravity},{chlorohydric acid,hydrochloric acid},{fiber optic cable,fibre optic cable},{operating theater,operating theatre},{Pistia stratiotes,Pistia stratoites},{sodium thiopental,thiopental sodium},{true lover's knot,true lovers' knot}} {{center of buoyancy,centre of buoyancy},{Douay-Rheims Bible,Rheims-Douay Bible},{instrumental music,musical instrument},{loan participation,participation loan},{philosopher's wool,philosophers' wool},{vaudeville theater,vaudeville theatre}} {{center of attention,centre of attention},{center of curvature,centre of curvature},{center of flotation,centre of flotation},{center of immersion,centre of immersion},{encephalomeningitis,meningoencephalitis},{group psychotherapy,psychotherapy group},{kilometers per hour,kilometres per hour},{philosopher's stone,philosophers' stone}}
{{bleu cheese dressing,blue cheese dressing},{Douay-Rheims Version,Rheims-Douay Version}}
{{Adams-Stokes syndrome,Stokes-Adams syndrome},{chromatography column,column chromatography},{theater of operations,theatre of operations}}
{{air-to-surface missile,surface-to-air missile},{Eaton-Lambert syndrome,Lambert-Eaton syndrome},{part to whole relation,whole to part relation}}
{{execution of instrument,instrument of execution},{florist's chrysanthemum,florists' chrysanthemum}}
{{analog-digital converter,digital-analog converter},{Black English Vernacular,Black Vernacular English}}
{{Creutzfeldt-Jakob disease,Jakob-Creutzfeldt disease},{Tweedledee and Tweedledum,Tweedledum and Tweedledee}}
{{analog-to-digital converter,digital-to-analog converter}}
{{American War of Independence,War of American Independence}}
{{electronic imitative deception,imitative electronic deception}}
{{electronic simulative deception,simulative electronic deception},{fiber-optic transmission system,fibre-optic transmission system}}
{{electronic manipulative deception,manipulative electronic deception}}
I do like "supreme court/computer user" and "petrol station / tortoise plant", though! ----------------------- Neil went on to find the analogous anagrams in In[50]:= DictionaryLookup[All] Out[50]= {Arabic,BrazilianPortuguese,Breton,BritishEnglish,Catalan, Croatian,Danish,Dutch,English,Esperanto,Faroese,Finnish, French,Galician,German,Hebrew,Hindi,Hungarian,IrishGaelic, Italian,Latin,Polish,Portuguese,Russian,ScottishGaelic,Spanish,Swedish}
The largest example this program turned up is this incredible 34-word set from Hebrew: בוערי ביעור ביערו יבוער יבערו יובער יועבר יורבע יורעב ... --rwg
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participants (2)
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Bill Gosper -
Dan Asimov