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. Author manuscript; available in PMC: 2016 Sep 1.
Published in final edited form as: Cognition. 2015 Jun 6;142:247–265. doi: 10.1016/j.cognition.2015.05.016
Stimulus
feature
Feature in terms
of three cardinal
features
Log of feature in terms of log of three
cardinal features
Log of feature ratio in terms of
log of three cardinal ratios
Total
surface
area (TSA)
TSA=Sz·n
log(TSA)=12log(Sz)+12log(n)
log(rTSA)=12log(rSz)+12log(rn)
Item
surface
area (ISA)
ISA=Szn
log(ISA)=12log(Sz)12log(n)
log(rISA)=12log(rSz)12log(rn)
Field area
(FA)
FA=Sp·n
log(FA)=12log(Sp)+12log(n)
log(rFA)=12log(rSp)+12log(rn)
Sparsity
(Spar)
Spar=Spn
log(Spar)=12log(Sp)12log(n)
log(rSpar)=12log(rSp)12log(rn)
Total
perimeter
(TP)
TP=2π·Sz14·n34
log(TP)=log(2π)+14log(Sz)+34log(n)
log(rTP)=14log(rSz)+34log(rn)
Item
perimeter
(IP)
IP=2π·Sz14·n14
log(IP)=(log(2π)+14log(Sz)14log(n)
log(rIP)=14log(rSz)14log(rn)
Coverage
(Cov)
Cov=SzSp
log(Cov)=12log(Sz)12log(Sp)
log(rCov)=12log(rSz)12log(rSp)
Apparent
closeness
(AC)
AC=Sz·Sp
log(AC)=12log(Sz)+12log(Sp)
log(rAP)=12log(rSz)+12log(rSp)