Is there an empirically demonstrable preference for the axes of mirror symmetry that reflects the order of detectability identified by Wagemans (1996)?

8/3/2019 Is there an empirically demonstrable preference for the axes of mirror symmetry that reflects the order of detectab

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L{ xbgrg en gavlrlkecc| hgajn{xreocg vrgigrgnkg ijr

xbg eg{ ji alrrjr {|aagxr| xbex rgicgkx{ xbg jrhgr ji

hgxgkxeolclx| lhgnxlilgh o| ]emgaen{ "5


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Eo{xrekx

_g{gerkb be{ ijwnh gylhgnkg ijr en jocluwg giigkx "jrlgnxexljn enl{jxrjv|, }lxbln xbg yl{wec

{|{xga. Xbg aedjrlx| ji rg{gerkb {bj}{ xbex ygrxlkec olcexgrec {|aagxr| l{ xbg aj{x {eclgnx#

ijccj}gh o| bjrltjnxec enh xbgn jocluwg jrlgnxexljn{. Bj}gygr# }bex l{ wnkcger l{ }bgxbgr xbl{

{eclgnkg ec{j cgeh{ xj e {lmnlilkenx eg{xbgxlk vrgigrgnkg ijr xbg ygrxlkec jrlgnxexljn jygr xbg jxbgr

jrlgnxexljn{. Xbl{ {xwh| elagh xj xg{x }bgxbgr xbg jocluwg giigkx hjg{ cgeh xj e {lmnlilkenx

eg{xbgxlk vrgigrgnkg ijr ygrxlkec olcexgrec {|aagxr|. Xbl{ }e{ hjng w{lnm o| vrg{gnxlnm 96

verxlklvenx{ }lxb nlng eo{xrekx laemg{ ln xbg xbrgg jrlgnxexljn{ kjwnxgroecenkgh ekrj{{ xbrgg

kjnhlxljn{# }lxb verxlklvenx{ lnhlkexlnm xbglr vrgigrgnkg jn e Cl`grx!x|vg {kecg. Xbg {xwh| ijwnh

xbgrg }e{ e {lmnlilkenx vrgigrgnkg ijr ygrxlkec jygr bjrltjnxec enh jocluwg jrlgnxexljn{# owx nj

{lmnlilkenx vrgigrgnkg ijr bjrltjnxec jygr jocluwg jrlgnxexljn e{ vrgyljw{ rg{gerkb beh {wmmg{xgh.

Xbl{ {bj}{ xbex ecxbjwmb xbg aedjrlx| ji rg{gerkb {wvvjrx{ xbg e{{wavxljn{ ji xbg jocluwg giigkx#

xbgrg l{ {xlcc rg{gerkb }blkb aw{x og hjng xj xg{x lx{ yeclhlx| enh rgcleolclx| ekrj{{ {lxwexljn{.

Lnxrjhwkxljn

[|aagxr| l{ en lnxrln{lk vbgnjagnjn ln xbg }jrch erjwnh w{# jkkwrrlnm ojxb nexwrecc| enh ln

erxliekx{ enh erkblxgkxwrg "Cj| ) G`bcwnh# ?669# vm. 762# {gg ec{j ]|nn# ?66?,. [|aagxr| l{

xbjwmbx xj og e yl{wec rgmwcerlx| }blkb xbg yl{wec {|{xga l{ {eclgnxc| {gn{lxlyg xj "yen hgr Bgca )

Xrghgr# ?66


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olcexgrec {|aagxr| ae| gygn og hgxgkxgh vrgexxgnxlygc| "{gg Gyen{# ]gnhgrjxb ) Kbgnm# ?666#

]emgaen{# 5


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og vgrkglygh. Ln e rgylg} o| ]emgaen{# yen Mjjcg enh H|hg}eccg "5


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erxl{x{ xben jocluwgc| jrlgnxgh clng{ ln ojxb cenh{kevg enh vjrxrelx ijraex{. Xbl{ ec{j {wvvjrxgh

xbg kjnkgvx xbex clng jrlgnxexljn{ }blkb erg vrgigrgnxlecc| vrjkg{{gh l.g. bjrltjnxec enh ygrxlkec#

erg ec{j ajrg eg{xbgxlkecc| vcge{lnm# e{ xbglr ajrg irguwgnx w{g ae`g{ xbga eg{xbgxlkecc| ajrg

vjxgnx "Cexxj ) _w{{gcc!Hwii# ?66?,. Xbg eojyg {xwh| klxg{ xbex xbl{ giigkx ae| og hwg xj ajrg

kgcc{ ln {wohlyl{ljn{ ji xbg yl{wec kjrxg rg{vjnhlnm xj bjrltjnxec enh ygrxlkec jrlgnxexljn xben xj

xbg jocluwg "{gg Kjvvjce# ]blxg# Ilxtvexrlk` ) Vwryg{# 5


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kjnxlnwjw{ yerleocg "{wkb e{ eg{xbgxlk vrgigrgnkg, }blkb ken og uwenxlilgh enh jiigr en ln{lmbx

lnxj xbg rg{vjnhgnx{ vrgigrgnkg ln kjaverl{jn xj jxbgr{ "Kce{jn ) Hjrajh|# n.h.,. E rgylg} ji

xbg clxgrexwrg {bj}{ xbex xbg aedjrlx| ji {xwhlg{ w{g {kecg{ ji glxbgr ilyg jr {gygn rg{vjn{g{

"Vrg{xjn ) Kjcaen# ?666, enh Kj "5


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Agxbjh

Verxlklvenx{

96 verxlklvenx{# ?; aecg enh ;= igaecg# }grg ijwnh w{lnm jvvjrxwnlx| {eavclnm. Verxlklvenx{

}grg emgh ogx}ggn 5< enh =7 |ger{ "A 1 ;5.6;,. Nj jxbgr hgajmrevblk{ }grg kjccgkxgh e{ xbg|

}grg hggagh wnngkg{{er|. Xbg verxlklvenx{ }grg jrmenl{gh lnxj xbrgg mrjwv{ ji ?6.

Aexgrlec{

X}gcyg ajnjkbrjag eo{xrekx ln`ocjx laemg{ }grg joxelngh yle en lnxgrngx {gerkb gnmlng.

Alkrj{jix Vj}grVjlnx }e{ w{gh xj krgexg jng {clhg{bj} ji eo{xrekx laemg{ vgr mrjwv# }lxb gekb

{clhg{bj} kjnxelnlnm 5? laemg{ ln glxbgr e ygrxlkec# bjrltjnxec# jr jocluwg jrlgnxexljn. Xbg

laemg{ ln gekb {clhg{bj} }grg kjwnxgroecenkgh w{lnm e Cexln {uwerg. Xbg xjxec nwaogr ji

rg{vjn{g{ vgr jrlgnxexljn }e{ ?86.

Hg{lmn

Xbg {xwh| }e{ e ogx}ggn {wodgkx{ {wryg| hg{lmn. Xbl{ }e{ hjng w{lnm e = rg{vjn{g Cl`grx {kecg.

Xbg lnhgvgnhgnx yerleocg "LY, }e{ xbg jrlgnxexljn ji xbg laemg{# enh kjn{l{xgh ji xbrgg cgygc{ !

ygrxlkec "5,# bjrltjnxec "?, enh jocluwg ";, enh xbg hgvgnhgnx yerleocg "HY, }e{ {kjrg jn xbg

{kecg.

Vrjkghwrg

Evvrjyec }e{ rguwg{xgh irja enh mrenxgh o| xbg wnlygr{lx| gxblk{ kjaalxxgg "{gg Evvgnhl 5,.

E mrjwv ji {l wnhgrmrehwexg rg{gerkbgr{ xjj` verx ln }gg`c| aggxlnm{ jygr {gygrec }gg`{ "{gg

Evvgnhl ?,. Kjccgkxlygc| xbg| {gcgkxgh x}gcyg ajnjkbrjaexlk eo{xrekx laemg{ "{gg Evvgnhl

;,. Xbg{g laemg{ }grg xbgn w{gh xj krgexg xbrgg hliigrgnx Alkrj{jix Vj}grVjlnx {clhg{bj}{ ! E#


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O# enh K "{gg Evvgnhlkg{ 8#7 enh 9 rg{vgkxlygc|, ! {bj}lnm jnc| jng jrlgnxexljn ji gekb laemg#

}lxb gekb laemg{ jrlgnxexljn oglnm kjwnxgroecenkgh ekrj{{ xbg {clhg{bj}{ w{lnm e Cexln {uwerg.

Verxlklvenx{ }grg lnijragh ji xbglr kjn{gnx enh e{`gh xj rgeh xbg verxlklvenx lnijraexljn {bggx

"{gg Evvgnhl =, Verxlklvenx{ {e} gekb laemg ijr ilyg {gkjnh{# ijccj}gh o| e ocen` {krggn

kjnxrjccgh o| xbg verxlklvenx jnkg xbg| beh njxgh xbglr rg{vjn{g jn xbg Cl`grx {kecg "{gg

Evvgnhl 2,. E velr ji rg{gerkbgr{ }e{ e{{lmngh xj gekb mrjwv# }lxb gekb rg{gerkbgr rgkrwlxlnm

xgn verxlklvenx{ gekb. Verxlklvenx{ }grg lnijragh ji xbglr rlmbx xj }lxbhre} enh }grg e{{wrgh xbex

xbglr hexe }jwch og enjn|ajw{.

Xbg Cl`grx {kecg e{`gh verxlklvenx{ xj rexg bj} exxrekxlyg xbg| ijwnh gekb ji xbg laemg{ jn e

{kecg ji 5 "Wmc|, xj = "Exxrekxlyg,. Jnkg xbg hexe }grg kjccgkxgh xbg| }grg gnxgrgh lnxj xbg [V[[

vrjmreaag "{gg Evvgnhl


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e{ Cexxj "5


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xbg nwaogr ji vj{{locg rg{vjn{g{ cgnh xbg {kecg aelaec rgcleolclx| ln rgcexljn xj giijrx jn xbg

verx ji xbg verxlklvenx.

Ln kjnkcw{ljn# xbgrg }e{ e {lmnlilkenx vrgigrgnkg ijr ygrxlkec jygr bjrltjnxec enh jocluwg

jrlgnxexljn{ ji eo{xrekx laemg{# e{ b|vjxbg{l{gh enh ln ekkjrhenkg }lxb vrgyljw{ rg{gerkb.

Bj}gygr# xbl{ {xwh| ielcgh xj ilnh e {lmnlilkenx hliigrgnkg ln vrgigrgnkg ogx}ggn xbg bjrltjnxec

enh ygrxlkec jrlgnxexljn{# }blkb ae| beyg oggn hwg xj agxbjhjcjmlkec ice}{ ln xbg {xwh|. Xbg

rg{wcx{ ji xbl{ {xwh| uwg{xljn bj} dw{x bj} xrwg xbl{ {xexgagnx aehg o| Cexxj "5


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5?

Kjvvjce# H. A.# ]blxg# C. G.# Ilxtvexrlk`# H. ) Vwryg{# H. "5

oljcjmlkec laemg{. Vgrkgvxljn# ?

Njxg{ ln Kjavwxgr [klgnkg ;


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5;

Ajrecg{# H. ) Ve{bcgr# B. "5

rgcleolclx|# yeclhlx|# hl{krlalnexlnm vj}gr# enh rg{vjnhgnx vrgigrgnkg{.Ekxe V{|kbjcjmlke#

568# 5!57.

_jhrlmwgt# L.# Mwaogrx# E.# Bgavgc hg Loerre# N.# @wntg# D. ) Mlwrie# A. "?668,. [|aagxr| l{

ln xbg g|g ji xbg oggbjchgr4 Lnnexg vrgigrgnkg ijr olcexgrec {|aagxr| ln icj}gr!nelyg

owaocgogg{.Nexwr}l{{gn{kbeixgn#


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]emgaen{# D.# yen Mjjc# C. ) h\hg}eccg# M. "5

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Is there an empirically demonstrable preference for the axes of mirror symmetry that reflects the order of detectability identified by Wagemans (1996)?