GSP4sQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$6LIntroduction` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#`Bookman Old Style1 Arialn Lucida Consolele$  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' 42??m     t0nQ\aALink to triangular baset n   tHnQ\aA.Link to Levels of the stack in triangular basetp n   t,nQ\aALink to square baset n   t8nQ\aALink to Levels of a square baset,,n@i@@@p@py@@ @q@$"v_@@  @u@}@@  @  @  ? @  "@ "@  "@  @ @(@~@@@}@@ @@@@ @p@`y@@ @ @ @ @S@ d@@m@m@@ @ @  -@ !"4``@# # #H@h@@@s@@ '(@ ('@ @ '(/@ (+/@ '+ -@ ,*@ (..@ .+ -@ -05`@1.(' .1 1'~v>~ L  L .http://web.pdx.edu/~shaunaw/bloatedpennies.xls $nQ\aA Excel FileeQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$Ltriangular base` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Arial  $'''$'$'$'f$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aABpq@{@@nQ\aAAt@{@@nQ\aAPs@`O-+@@nQ\aAO0v@`O-+@@nQ\aANPy@`O-+@@nQ\aAMp|@`O-+@@nQ\aAL@`O-+@@nQ\aAKX@`O-+@@nQ\aAJs@`O-{@@nQ\aAI v@`O-{@@nQ\aAH@y@`O-{@@nQ\aAG`|@`O-{@@nQ\aAF@`O-{@@nQ\aAEP@`O-{@@nQ\aAD0y@Gx@@nQ\aACP|@Gx@@ @ ? @  -@ @  -@ @  -@ @  -@ @  -@ @ -@ -@ -@ -@ -@ -@ @ @ @  !@ ! @ "#@ #"-@ %$-@ &%-@ '&-@ ('-@ )(@ *f@ , @ ."@ +*@ .-@ -, -@ /2 -@ 20@ 56@ 65 -@ 80 -@ 41@ 9:@ :9 -@ 78@ =5 -@ ;<@ ?9 -@ 8;@ A=-@ B> -@ B@@ CD@ DC -@ EF@ GC@ @ @ @ @ @ -@ JI-@ KJ-@ LK-@ ML-@ NM@ O@ Q@ S@ PO@ RQ -@ TW -@ WU@ YZ@ ZY -@ \U -@ XV@ ]^@ ^] -@ [\@ aY -@ _`@ c] -@ \_@ ea-@ fb -@ fd@ gh@ hg -@ ij@ kg@  @  @  @  @  @  -@ nm-@ on-@ po-@ qp-@ rq@ s @ u @ w @ ts@ wv@ vu -@ x{ -@ {y@ ~@ ~ -@ y -@ }z@ @  -@ @ ~ -@ @  -@ @ -@  -@ @ @  -@ @ @ @  -@ @  -@  @ @ @ @ @/ @0 @1 @3 @> @@ @H @x @y @z @| @ @ @ @b @d @l @ -@ 30 -@ l0@,*55\G@-f<0><0>>-f @   ;NnQ\aA5Click here to see the sperate levels within the stack;_ nL  L 9.http://web.pdx.edu/~shaunaw/bloatedpennies.xls DnQ\aA+Click here to see an Excel File on Stacking9-QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$(LLevels of the stack in triangular basee` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aABX@@@nQ\aAA@@@ @ ? @  -@ @  -@ @  -@  @   -@  @   -@  @  -@ -@ -@  -@  -@  -@  @ @ @ @ @ @ -@ -@ -@ -@ -@ @ @ @  @ @  @  -@ !$ -@ $"@ '(@ (' -@ *" -@ &#@ +,@ ,+ -@ )*@ /' -@ -.@ 1+ -@ *-@ 3/-@ 40 -@ 42@ 56@ 65 -@ 78@ 95@nQ\aAB~@@nQ\aAAF@~@@ <;? @ ;< -@ >=@nQ\aABs@~@@nQ\aAAv@~@@ @A@ A@? @ @A -@ DC@ EA -@ DF@ GE -@ DH@ IG -@ DJ@ KI -@ DL@ MK-@ CB-@ FC-@ HF-@ JH-@ LJ-@ NL@ OP@ PO@ QR@ RQ@ ST@ TS-@ VU-@ WV-@ XW-@ YX-@ ZY@ [O@ ]Q@ _S@ \[@ _^@ ^] -@ `c -@ ca@ fg@ gf -@ ia -@ eb@ jk@ kj -@ hi@ nf -@ lm@ pj -@ il@ rn-@ so -@ sq@ tu@ ut -@ vw@ xt@nQ\aABS@@@nQ\aAA `@@@ z{@ {z? @ z{ -@ ~}@ { -@ ~@  -@ ~@  -@ ~@  -@ ~@ -@ }|-@ }-@ -@ -@ -@ @ @ @ @ @ @ -@ -@ -@ -@ -@ @ @ @ @ @ @  -@  -@ @ @  -@  -@ @ @  -@ @  -@ @  -@ @ -@  -@ @ @  -@ @ @ ;<-@ =@ ?<-@ =@ @ -@  -@ >@ ?-@  -@ >@ -@ @ @ -@ -@ @  -@ >@ -@  -@ >@ -@ @ @ -@ -@ @ @  -@ @  -@ @  -@ @  -@ @  -@ @ @  -@ @  -@ @ @ -@ @  -@ @ @  -@ @  -@ @447) >7)M@DB(.ies(I @L  L dM.http://web.pdx.edu/~shaunaw/bloatedpennies.xls @nQ\aA&Click here to see the pattern in ExcelkdM7_n$"gnign(&!>n,*&v&v n   |,nQ\aALink to square base|QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$Â Lsquare base` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Arial Bookman Old Style $'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aABPt@~@@nQ\aAB@r@~@@nQ\aABt@@@@nQ\aAA w@@@@nQ\aAB0w@p@@nQ\aAAy@p@@nQ\aABy@@@nQ\aAA{@@@nQ\aAB0w@@@nQ\aAAy@@@nQ\aAAt@~@@  ? @  /@  "@  "@ /@  /@   -@   -@ ? @ "@  "@ "@  "@ ? @  -@  -@ ? @ "@  "@ "@ "@ "@ "@   -@  -@  ? @ $% -@ &  -@ &! -@   -@ "@ !&"@  &"@ &"@ &"@  &"@ &"@ &"@ &"@ #&"@ )&"@ *&"@ "&"@ &"@ &"@ &"@ &"@ &"@  &? @ 3( -@ =2? @ 6' -@ ?1? @ >@ -@ A0 -@ A/ -@  -@ !? @ DE -@ F+ -@ F2"@ F"@ !F"@ +F"@ 2F"@ 3F"@ (F"@ #F"@ >F"@ LA"@ 2A"@ 1A"@ 0A"@ /A"@ :A"@ 7A"@ 5A"@ HA? @ /@ Z/@ Z"@ \/@ ]Z@  -@ [_"@ _\ -@ Za -@ ^a? @ `c"@ d"@ d? @ ef"@ ad -@ gh? @ ib"@ fj"@ hj -@ ^h"@ mj"@ _d"@ oj -@ [o"@ qj? @ qm"@ os"@ tj"@ hs -@ ^v"@ wj"@ vj -@ jv"@ as"@ {j -@ ^{ -@ j{"@ fs"@ j"@ s"@ j"@ _s"@ j -@ [? @ } -@ "@ "@ {"@ |"@ "@ "@ ~ -@ |"@  -@ ["@ j? @ /@ /@ "@ /@ @  -@ "@  -@  -@ ? @ "@ "@ ? @ "@  -@ ? @  -@ "@  -@ ? @ "@ "@  -@ "@ "@  -@ "@ "@  -@  -@ "@ "@ "@  -@ ? @ "@ "@ "@ "@  -@ "@  -@ ? @ /@ /@ "@ /@ @  -@ "@  -@ ? @ "@  -@ "@  -@ ? @ "@  -@ "@ "@  -@ ? @ "@ "@ "@ ? @  /@  /@  "@  /@ @   -@ "@  -@ ? @ "@  -@ "@  -@ ? @ "@  -@ "@  -@ ? @ "@  @ @ @ @ @ @ @ @ @ @ @ @ @ @ @U @T @S @R @Q @L @K @J @I @ @ @ @  @ @. @/ @ @ @ @ @ @u @p @l @h @o @t @@((>TH@>  @   8nQ\aALink to Levels of a square base1QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$BLLevels of a square base` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Arial Lucida Console  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aABF@0v@@nQ\aAAU@0v@@ ? @ /@ "@ "@ /@ /@  -@   -@ ? @  "@  "@  "@  "@  ? @  -@   -@ ? @ "@ "@  "@ "@ "@ "@  -@  -@ ? @  -@  -@  -@  -@  "@ "@ "@ "@ "@ "@  "@ "@ "@ "@  "@ !"@ "@ "@ "@ "@  "@  "@ ? @ * -@ 4)? @ - -@ 6(? @ 57 -@ 8' -@ 8& -@   -@ ? @ ;< -@ =" -@ =)"@ ="@ ="@ "="@ )="@ *="@ ="@ ="@ 5="@ C8"@ )8"@ (8"@ '8"@ &8"@ 18"@ .8"@ ,8"@ ?8@nQ\aAB~@@v@@nQ\aAAx@@v@? @ QR/@ QS/@ RS"@ QU/@ VS@ QR -@ TX"@ XU -@ SZ -@ WZ? @ Y\"@ Q]"@ R]? @ ^_"@ Z] -@ `a? @ b["@ _c"@ ac -@ Wa"@ fc"@ X]"@ hc -@ Th"@ jc? @ jf"@ hl"@ mc"@ al -@ Wo"@ pc"@ oc -@ co"@ Zl"@ tc -@ Wt -@ ct"@ _l"@ xc"@ Rl"@ zc"@ Xl"@ |c -@ T|? @ ~v -@ }"@ z"@ t"@ u"@ }"@ {"@ w -@ u"@ | -@ T|"@ c@nQ\aAB{@@@nQ\aAAP~@@? @ /@ /@ "@ /@ @  -@ "@  -@  -@ ? @ "@ "@ ? @ "@  -@ ? @  -@ "@  -@ ? @ "@ "@  -@ "@ "@  -@ "@ "@  -@  -@ "@ "@ "@  -@ ? @ "@ "@ "@ "@  -@ "@  -@ @nQ\aAB@ȇ@@nQ\aAA؆@ȇ@? @ /@ /@ "@ /@ @  -@ "@  -@ ? @ "@  -@ "@  -@ ? @ "@  -@ "@ "@  -@ ? @ "@ "@ "@ @nQ\aAB8@Ȉ@@nQ\aAAp@Ȉ@? @ /@ /@ "@ /@ @  -@ "@  -@ ? @ "@  -@ "@  -@ ? @ "@  -@ "@  -@ ? @ "@ @c <0><0><0><0>>Cc w@00X<0>>X=@0.E>>>Ea@0.5>>>5u@0.'G>>'Ggc@0.>>@>A%L