“…Others have criticized this approach for not carefully accounting for all continuous dimensions ( Clayton et al, 2015 ; Gilmore et al, 2016 ). For example, images from the freely available Panamath software 1 are frequently used in the literature ( Halberda and Feigenson, 2008 ; Halberda et al, 2008 ; Libertus et al, 2011 , 2013a , b ; Mazzocco et al, 2011 ; Libertus et al, 2012 ; Fazio et al, 2014 ; Hyde et al, 2014 ; van Marle et al, 2014 ; Haist et al, 2015 ; Norris et al, 2015 ; Patalano et al, 2015 ; Purpura and Logan, 2015 ; Bugden and Ansari, 2016 ; Norris and Castronovo, 2016 ; Braham and Libertus, 2017 , 2018 ; Dillon et al, 2017 ; Lukowski et al, 2017 ; Geary et al, 2018 ), yet the software does not allow researchers to manipulate convex hull (i.e., the area of the smallest polygon that encompasses all of the dots in the set). Studies have demonstrated that convex hull is confounded with number in Panamath images, such that the more numerous set in each image typically also has a larger convex hull ( Clayton et al, 2015 ; DeWind and Brannon, 2016 ).…”