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The document will open as a copy.$ҖLIntroduction` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Verdana ArialaU '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' (&Y:ntsY:     ZTHnQ\aA.Looking at Square and Rectangular ArrangementsZTzf n   Zi>nQ\aA%Looking at the Triangular ArrangementZi9{ n   Z~HnQ\aA.The Diamond- Shifting from a Square to DiamondZ~v n   Z>nQ\aA$Looking at the Hexagonal ArrangementoZ<n>$nDDR20R2Gn@c@w@@@g@x@@  @nQ\aAB@R@`{@@nQ\aAA@Z@0|@@  @nQ\aABp@z@@nQ\aAAr@z@@ @nQ\aABS@@@nQ\aAA[@@@ @nQ\aABe@~@@nQ\aAAi@@@ @nQ\aAB@t@@nQ\aAA@u@@ @nQ\aAB`n@h@@nQ\aAA0q@Ђ@@ @nQ\aABU@r@@nQ\aAA]@s@@ @nQ\aABpz@~@@nQ\aAAp|@p@@  !@nQ\aAB@@@nQ\aAA@@@ #$@nQ\aAB`e@0q@@nQ\aAA`i@r@@nQ\aAB@@@@nQ\aAA@@@ &'@ ()@nQ\aABR@g@@nQ\aAAZ@@i@@ ,-@nQ\aAB`@C@@nQ\aAA`@I@@ /0@nQ\aAB@@@nQ\aAA@@@ 23@nQ\aABL@N@@nQ\aAA@V@@R@@ 56@nQ\aAB0@@|@@nQ\aAA0@}@@ 89@nQ\aAB@@p@@nQ\aAA@@q@@ ;<@nQ\aABp@@@nQ\aAAp@h@@ >?@nQ\aAB @|@@nQ\aAA @p}@@ AB@nQ\aABx@pu@@nQ\aAAx@@v@@ DE@nQ\aAB@`n@@nQ\aAA@p@@ GH@nQ\aAB0s@@@@nQ\aAA0u@@@ JK@nQ\aAB@y@@nQ\aAA@Pz@@ MN@nQ\aAB@@@nQ\aAA@(@@ PQ@nQ\aAB؆@X@@nQ\aAA؇@@@ ST@nQ\aAB0x@@@nQ\aAA0z@(@@ VW@nQ\aAB@>@@nQ\aAA@E@@ YZ@nQ\aABPr@U@@nQ\aAAPt@@X@@nQ\aAB@H@@nQ\aAA@N@@ \]@ ^_@nQ\aAB~@T@@nQ\aAA@@W@@nQ\aABh@@@nQ\aAAh@0@@ bc@ de@nQ\aABi@c@@nQ\aAAm@@e@@nQ\aAB@`d@@nQ\aAA@f@@ hi@ jk@nQ\aAB@"@@nQ\aAA@6@@nQ\aABЉ@[@@nQ\aAAЊ@@^@@ no@nQ\aAB`y@>@@nQ\aAA`{@E@@nQ\aABp@`@@nQ\aAAp@a@@ st@nQ\aAB0r@@@nQ\aAA0t@3@@nQ\aAB@b@@nQ\aAA@ d@@ xy@nQ\aAB@b@C@@nQ\aAA@f@J@@nQ\aABP@_@@nQ\aAAP@`a@@ }~@ @nQ\aABt@0{@@nQ\aAAv@|@@nQ\aAB؉@Z@@nQ\aAA؊@@]@@ @ @nQ\aABq@t@@nQ\aAAs@u@@nQ\aABX@]@@nQ\aAAX@``@@ @ QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. 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The document will open as a copy.$YkLTriangle Arrangement` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Verdana Ariala$ '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' <<(%O Ps@X@@pv@X@@ @ ? @  -@ @  -@ @   -@  @   -@  @   -@ @   -@ @  -@ @ -@ -@ -@  -@  -@  -@ -@ -@ @ @ @ @ @ @ @ @ -@ -@ -@  -@ ! -@ "!-@ #"-@ $#@ %@ '@ )@ +@ &%@ )(@ ('@ *) -@ ,0 -@ 0-@ 45@ 54 -@ 7- -@ 2.@ 89@ 98 -@ ;3-@ /3@ <=@ =< -@ 67@ @4 -@ :;@ B8-@ ?>@ D< -@ 7:@ F@-@ GA -@ GC@ HI@ IH -@ JK@ LH -@ KC -@ MK@ NO@ ON -@ QP@ RN-@ QM-@ SQ@ TU@ UT-@ WV@ XU-@ ?E-@ /?@ Z[@ [Z-@ ]\@ ^[> @|]\$?#"!32>;: 70G6 JKPQWV    >&nQ\aA Show Circles -n SE-n ECne>e> n, L@B)'%     }$nQ\aA Show Pointsn5q>5e -n E.nHH@65>@6\> nXYSUTONaEbf=Z_[/*g   M(nQ\aAShow 16 pennies n   8nQ\aALink to The Diamond Arrangement n   8nQ\aASquare/Rectangular Arrangement n   .nQ\aAHexagonal Arrangement^VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. 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The document will open as a copy.$ LThe Diamond` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Arial Verdana ggg'''$'f$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aABe@y@f@nQ\aAA i@y@f@ ? @ /@ "f@ "@ /@ /@  -f@   -f@ ? @  "f@  "@  "f@  "f@  ? @  -f@   -f@ ? @ "f@ "f@  "f@ "f@ "f@ "f@  -f@  -f@ ? @  -f@  -f@  -f@  -f@  "f@ "f@ "f@ "f@ "f@ "f@  "f@ "f@ "f@ "f@  "f@ !"f@ "f@ "f@ "f@ "f@  "f@  "f@ ? @ * -f@ 4)? @ - -f@ 6(? @ 57 -f@ 8' -f@ 8&f@}@Ps@f@}@t@@ ;<f@@t@@ <>@ >; f@= )\(?f@{@t@@ AB@nQ\aABx@Py@f@nQ\aAA`@Py@@ DE@ ED? @ DE -@ HG@ IE -f@ HJ@ KI -@ HL@ MK -f@ HN@ OM -@ HP@ QO-f@ GF-f@ JG-f@ LJ-f@ NL-f@ PN-f@ RP@ ST@ TS@ UV@ VU@ WX@ XW-@ ZY-f@ [Z-@ \[-f@ ]\-@ ^]@ _S@ aU@ cW@ `_f@ cb@ ba -f@ dg -f@ ge@ jk@ kj -f@ me -f@ if@ no@ on -@ lm@ rj -@ pq@ tn -f@ mp@ vr-f@ ws -f@ wu@ xy@ yx -@ z{@ |x -f@ }{ -f@ {u -f@ uq -f@ qf -f@ f^ -f@ ^Rf@ ~f@ ~ -f@ f@ f@ f@  -f@ f@ f@ f@  -f@ f@ -f@ f@  f@W8? ? -f  -f f  -f -f f f  -f f f  -f f -f f  -f f -f  -f f f -f f f 86#nt/f 6Au>6Agf 5l>>5lf ,*glWf ,,#l#f LL#9#9     98nQ\aASquare/Rectangular Arrangement9K n   L.nQ\aATriangle ArrangementrLw^ n   &.nQ\aAHexagonal Arrangement&8VQThat 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.$LHexagonal Arrangement` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Arial Verdana gg'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' }@v@@@v@@ @ -@ @ -@ @ -@ @   -@  @  -@  @ @  @  -@ @   -@ @  -@ @  -@ @  -@ -@ @ -@ @  -@ -@ @ @  @  @  -@ "!@ $ -@  #@ & -@ '# -@ # -@ -@ -@  -@ -@ "-@ %"-@ '!@ 0$@ @ *+@ +* -@ 34@ 5+-@ 3@ 7)@ ()@ )( -@ 1' -@ %1@ ;<@ <;@ /.@ ./@ ,-@ -,-@ 2 -@ 2@ CD@ DC -@ 9:@ G(-@ 8H@ I7 -@ J8@ K7 -@ >=@ M; -@ N= -@ '9@ OP @NPJ  * 4-y VYy RY-y zyy {YfyA>A/xfyTTEA>E$ -y L6> y, e^tib`_Dhf   x&nQ\aA Hide Objectsn  n n n  n  n  fnLLG8>Gfn,,[<l[<Q> n   w(&nQ\aA Show Solution n   8nQ\aASquare/Rectangular Arrangement n   0nQ\aATriangular Arrangementn n   *nQ\aASquare to Diamondm