maxRatio) { message.value = maxExceededString scaledRadius.value = originalRadius.value * fraction.value } else { message.value = "" if (alleyNumber.value == 1) bowlCount.value = ++bowlCount1 else if (alleyNumber.value == 2) bowlCount.value = ++bowlCount2 else if (alleyNumber.value == 3) bowlCount.value = ++bowlCount3 else if (alleyNumber.value == 4) bowlCount.value = ++bowlCount4 else if (alleyNumber.value == 5) bowlCount.value = ++bowlCount5 scaledRadius.value = originalRadius.value * fraction.value limitedRadius.value = scaledRadius.value if (gspBowl) { gspBowl.perform() } needsReset = true } } else if (action.name == configAlley1.name) { CompleteReset() alleyNumber.value = 1 bowlCount.value = bowlCount1 pinHalfDistance.value = 39.5 barrierHalfDistance.value = 40.5 } else if (action.name == configAlley2.name) { CompleteReset() alleyNumber.value = 2 bowlCount.value = bowlCount2 pinHalfDistance.value = 59.5 barrierHalfDistance.value = 60.5 } else if (action.name == configAlley3.name) { CompleteReset() alleyNumber.value = 3 bowlCount.value = bowlCount3 pinHalfDistance.value = 27 barrierHalfDistance.value = 29 } else if (action.name == configAlley4.name) { CompleteReset() alleyNumber.value = 4 bowlCount.value = bowlCount4 pinHalfDistance.value = 15.8 barrierHalfDistance.value = 17 } else if (action.name == configAlley5.name) { CompleteReset() alleyNumber.value = 5 bowlCount.value = bowlCount5 pinHalfDistance.value = 6.6 barrierHalfDistance.value = 7.6 } } // synchronize our local associate with foreign one function fractionChanged() { myFraction.value = fraction.value } // resets ball size and lanes function CompleteReset() { myFraction.value = 1 scaledRadius.value = originalRadius.value limitedRadius.value = scaledRadius.value ResetPerformed() } // resets lanes function ResetPerformed() { needsReset = false message.value = "" if (gspReset) { gspReset.perform() } } ]]> {1} Point(515,31)[hidden]; {2} Point(495,31)[hidden]; {3} Point(497,65)[hidden]; {4} Point(517,65)[hidden]; {5} Point(493,104)[hidden]; {6} Point(510,104)[hidden]; {7} Point(496,142)[hidden]; {8} Point(536,149)[hidden]; {9} Point(538,184)[hidden]; {10} Point(499,177)[hidden]; {11} Point(498,214)[hidden]; {12} Point(586,214)[hidden]; {13} Point(71,111)[hidden]; {14} Point(243,111)[hidden]; {15} Point(506,253)[hidden]; {16} Point(563,253)[hidden]; {17} Point(500,292)[hidden]; {18} Point(524,296)[hidden]; {19} Point(454,364)[hidden]; {20} Point(506,335)[hidden]; {21} Point(537,332)[hidden]; {22} Segment(1,2)[hidden,black]; {23} Segment(4,3)[hidden,black]; {24} Segment(6,5)[hidden,black]; {25} Segment(8,7)[hidden,black]; {26} Segment(10,9)[hidden,black]; {27} Segment(12,11)[hidden,black]; {28} Segment(14,13)[hidden,black]; {29} Segment(16,15)[hidden,blue]; {30} Segment(18,17)[hidden,blue]; {31} UnitPoint(19,10.00000000)[hidden]; {32} Line(14,13)[hidden,red]; {33} Segment(21,20)[hidden,blue]; {34} Length(22,482,20,'Original Ball Radius = ')[hidden,black]; {35} Length(24,483,93,'PinDiameter = ')[hidden,black]; {36} Parameter(25,486,129,'Barrier HalfDistance = ')[hidden,black]; {37} Parameter(26,490,168,'Pin HalfDistance = ')[hidden,black]; {38} Point on object(27,1.00000000)[hidden]; {39} Point on object(28,0.00000000)[hidden]; {40} Point on object(28,0.53600615)[hidden]; {41} Length(29,494,243,'Length(Segment Barrier Length) = ')[hidden,blue]; {42} Length(30,495,281,'BarrierWidth = ')[hidden,blue]; {43} Origin&Unit(19,31)[hidden,red]; {44} Point on object(28,1.00000000)[hidden]; {45} Parameter(23,483,53,'BallRadius = ')[hidden,black]; {46} Point on object(33,0.73608202)[hidden]; {47} HideButton(478,337,'Hide')(28)[hidden,cyan]; {48} Translation/FixedAngle/MarkedDistance(13,34,2.35619450)[hidden]; {49} Translation/FixedAngle/MarkedDistance(39,34,2.35619450)[hidden]; {50} HideButton(511,370,'Hide')(45,2,1,22,34)[hidden,red]; {51} ShowButton(15,128,'Show')(45,2,1,22,34)[hidden,red]; {52} Translation/FixedAngle/MarkedDistance(13,45,2.35619450)[hidden]; {53} HideButton(15,86,'Hide')(44)[hidden,green]; {54} ShowButton(15,65,'Show')(44)[hidden,green]; {55} Ratio/Points(11,12,38,366,256,'Ratio(IL/IJ) = ')[hidden,black]; {56} MoveButton(322,356,0,'Reset Lanes')(13,39)[hidden,blue]; {57} Perpendicular(28,40)[hidden,blue]; {58} Translation/FixedAngle/MarkedDistance(40,36,0.00000000)[hidden]; {59} AxisX(43)[hidden,red]; {60} AxisY(43)[hidden,red]; {61} Coordinates(14,43,632,419,'DestIfClears:')[hidden,red]; {62} Translation/FixedAngle/MarkedDistance(44,37,0.00000000)[hidden]; {63} Perpendicular(32,44)[hidden,red]; {64} Ratio/Points(13,14,39,379,608,'Ratio(OriginO/OriginDestIfClears) = ')[hidden,black]; {65} ShowButton(503,503,'Show')(44)[hidden,yellow]; {66} HideButton(503,524,'Hide')(44)[hidden,yellow]; {67} Calculate(543,577,'BallHitsPins = ','1.0000000000 AB/1.0000000000 -@sgn_+@sgn_')(45,37)[hidden,yellow]; {68} Calculate(312,350,'(Barrier HalfDistance)/BallRadius = ','AB/')(36,45)[hidden,red]; {69} Translation/FixedAngle/MarkedDistance(39,45,2.35619450)[hidden]; {70} Ratio/Points(20,21,46,496,320,'Hilight Offset = ')[hidden,red]; {71} Circle(13,48)[red]; {72} Calculate(490,205,'PinTravelStrength = ','5.0000000000 A*')(55)[hidden,suffix('x'),black]; {73} Circle(40,58)[hidden,blue]; {74} Circle(44,62)[hidden,red]; {75} Circle(39,69)[hidden,green]; {76} Calculate(579,499,'ballClearsBarrier = ','1.0000000000 A1.0000000000 -@sgn_+@sgn_')(68)[hidden,red]; {77} Calculate(48,650,'BallHitsPins*(BallRadius + PinDiameter/2) + (1 - BallHitsPins)*2000pix = ','ABC2.0000000000 /+*1.0000000000 A-2000.0000000000 *+')(67,45,35)[hidden,yellow]; {78} Segment(69,39)[hidden,red]; {79} Intersect1(57,73)[hidden]; {80} Intersect1(63,74)[hidden]; {81} HideButton(503,441,'Tidy for JSP Export')(28,40,13,39,14,3,4,23,45,5,6,24,35,7,8,25,36,9,10,26,37,11,12,27,38,72,15,16,29,17,18,30,41,42,76,32)[hidden,red]; {82} Circle interior(75)[blue]; {83} Calculate(88,421,'ballClearsBarrier*(2*(Barrier HalfDistance)) + (1 - ballClearsBarrier)*BallRadius = ','A2.0000000000 B**1.0000000000 A-C*+')(76,36,45)[hidden,red]; {84} Midpoint(78)[hidden]; {85} Circle by radius(80,24)[hidden,red]; {86} Translation/FixedAngle/MarkedDistance(79,42,0.00000000)[hidden]; {87} Translation/FixedAngle/MarkedDistance(79,41,0.00000000)[hidden]; {88} Perpendicular(57,79)[hidden,blue]; {89} Translation/FixedAngle/MarkedDistance(79,45,0.00000000)[hidden]; {90} Translation/FixedAngle/MarkedDistance(79,83,0.00000000)[hidden]; {91} Dilation/MarkedRatio(69,84,70)[hidden]; {92} Intersect1(63,85)[hidden]; {93} Circle(79,86)[hidden,blue]; {94} Circle(79,87)[hidden,blue]; {95} Circle(79,90)[hidden,red]; {96} Circle(84,91)[hidden,red]; {97} Segment(80,92)[hidden,red]; {98} Intersect1(57,93)[hidden]; {99} Intersect1(32,95)[hidden,label('DestIfBlocked')]; {100} Circle interior(96)[cyan]; {101} Midpoint(97)[hidden]; {102} Segment(98,79)[black]; {103} Perpendicular(57,98)[hidden,blue]; {104} Coordinates(99,43,407,412,'Coordinate(Point DestIfBlocked): ')[hidden,red]; {105} Circle(101,80)[hidden,black]; {106} Reflection(102,28)[black]; {107} Perpendicular(103,87)[hidden,blue]; {108} Translation/FixedAngle/MarkedDistance(101,77,0.00000000)[hidden]; {109} Calculate(221,431,'ballClearsBarrier*x[DestIfClears] + (1 - ballClearsBarrier)*x[DestIfBlocked] = ','A#B1*1.0000000000 A-#C1*+')(76,61,104)[hidden,red]; {110} Calculate(221,453,'ballClearsBarrier*y[DestIfClears] + (1 - ballClearsBarrier)*y[DestIfBlocked] = ','A#B2*1.0000000000 A-#C2*+')(76,61,104)[hidden,red]; {111} Intersect(88,107)[hidden]; {112} Intersect(103,107)[hidden]; {113} Circle(101,108)[hidden,green]; {114} PlotXY(110,43,109)[hidden]; {115} Polygon(112,98,79,111)[green]; {116} Segment(79,111)[black]; {117} Segment(111,112)[black]; {118} Segment(112,98)[black]; {119} Intersect1(32,113)[hidden,label('PinHit')]; {120} MoveButton(15,44,40.0,'Bowl')(114,39)[hidden,red]; {121} MoveButton(177,358,1,'Bowl')(114,39)[hidden,black]; {122} Reflection(115,28)[green]; {123} Reflection(117,28)[black]; {124} Reflection(116,28)[black]; {125} Reflection(118,28)[black]; {126} Ratio/Points(13,14,119,366,648,'Ratio(OriginPinHit/OriginDestIfClears) = ')[hidden,green]; {127} Distance(39,119,149,504,'Distance(PinHit to O) = ')[hidden,green]; {128} Ray(101,119)[hidden,green]; {129} HideButton(490,461,'Hide')(121,56)[hidden,yellow]; {130} ShowButton(490,379,'Show')(121,56)[hidden,yellow]; {131} Calculate(3,557,'sgn[1 + sgn[(Ratio(OriginO/OriginDestIfClears)) - (Ratio(OriginPinHit/OriginDestIfClears))]] = ','1.0000000000 AB-@sgn_+@sgn_')(64,126)[hidden,green]; {132} Calculate(80,621,'(sgn[1 + sgn[(Ratio(OriginO/OriginDestIfClears)) - (Ratio(OriginPinHit/OriginDestIfClears))]])*BallHitsPins = ','AB*')(131,67)[hidden,green]; {133} Calculate(21,46,'Distance(PinHit to O)*PinTravelStrength*((sgn[1 + sgn[(Ratio(OriginO/OriginDestIfClears)) - (Ratio(OriginPinHit/OriginDestIfClears))]])*BallHitsPins) = ','AB*C*')(127,72,132)[hidden,green]; {134} Calculate(21,90,'1pix + (Distance(PinHit to O)*PinTravelStrength*((sgn[1 + sgn[(Ratio(OriginO/OriginDestIfClears)) - (Ratio(OriginPinHit/OriginDestIfClears))]])*BallHitsPins)) = ','1.0000000000 A+')(133)[hidden,green]; {135} Translation/FixedAngle/MarkedDistance(101,134,0.00000000)[hidden]; {136} Circle(101,135)[hidden,green]; {137} Intersect2(128,136)[hidden]; {138} Intersect1(97,136)[hidden]; {139} VectorTranslation(105,101,137)[black]; {140} Circle interior(139)[red]; {141} Reflection(139,32)[black]; {142} Reflection(140,32)[red]; Find a scaling ratio in the form of a decimal (e.g. 0.5) that will enlarge or reduce the blue ball to fit through the green bowling alley and move the two red pins.
1. For each of the 5 alleys, please explain the scaling ratios you tried, why you tried them, and which one worked.
2. After you have bowled all 5 alleys, put the scaling ratios which worked in order from smallest to largest and tell us how you chose this order. ]]>