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["Variables Key"]
["R",100,null,"Click to move Dog ● and You ●",null,null,null,null,null,null,"speed"]
["v",50,null,null,null,null,null,null,null,null,"tangent",{"$f":"(B5>0)*SQRT(B3^2-L4^2)","v":0}]
["π < k < π +1 ",4,null,0,null,null,null,null,null,null,"radial",{"$f":"(B5=0)*0+(B5>0)*(B5<=(1-PI()/B4)*B2/B3)*B3+(B5>=(1-PI()/B4)*B2/B3)*(B5<=(1-PI()/B4)*B2/B3+(B2*PI()/(B4*B3))*((B4-PI())/(PI()-(B4-1))))*0+(B5>=(1-PI()/B4)*B2/B3+(B2*PI()/(B4*B3))*((B4-PI())/(PI()-(B4-1))))*B3","v":0}]
["t",{"$f":"D4/100","v":0},null,null,null,null,null,null,null,null,"total",{"$f":"SQRT(L3^2+L4^2)","v":0}]
["Distance",{"$f":"TEXT(B5*B3/B2,\"0.000\") & \" R\"","v":"0.000 R"}]
[]
[null,null,"x","y",null,"Escape Route","x","y"]
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[]
[null,"Centre",0,0,null,"Graph Title:",{"$f":"\"R=\" & TEXT(B2,\"0\") &\", v=\" & TEXT(B3,\"0\") &\", k=\" & TEXT(B4,\"0\") &\" (t=\" & TEXT(B5,\"0.00\") & \", Distance=\" & TEXT(B6,\"0.000\") &\")\"","v":"R=100, v=50, k=4 (t=0.00, Distance=0.000 R)"}]
[null,null,null,null,null,"Time to opposition:",{"$f":"(1/B3)*((1-PI()/B4)*B2+(PI()/(PI()-(B4-1)))*(1-PI()/B4)*B2)","v":9.952177305306785},"Time to escape:",null,{"$f":"(((PI()/B4)*((B4-PI())/(PI()-(B4-1)))+1)*B2)/B3","v":11.522973632101682}]
["N","Radians","Big R Circle",null,"R/k Circle",null,"R(1-PI/k) Circle",null,null,null,"Line Between Dog & Human",null,"Escape Route",null,null,null,null,"Escape route"]
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{"sheet":"Spiral-Run Strategy","index":2,"n_rows":1016,"n_cols":20,"rows_kept":1016,"cut":false,"hidden":false,"merged":[[1,10,1,11]]}
["Variables Key"]
["R",100,null,"Move Dog ● and You ●",null,null,null,null,null,null,"speed"]
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{"sheet":"Zig-Zag Strategy","index":3,"n_rows":1016,"n_cols":28,"rows_kept":1016,"cut":false,"hidden":false,"merged":[[1,6,1,7]]}
["Variables Key",null,null,null,null,null,null,null,null,"Zig-Zag Strategy"]
["R",100,null,"Move Dog ● and You ●",null,null,"speed",null,null,null,null,"Time to Inner Annulus=",{"$f":"(B2/(B4*B3))*ASIN(B4-PI())","v":2.5803919550785421},null,"x","y",null,null,"Circle Construction"]
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["t",{"$f":"D4/100","v":0},null,null,null,null,"total",{"$f":"SQRT(H3^2+H4^2)","v":0},null,{"$f":"IF(AND(0<K3,K3<K4,K4<M2),\"OK\",\"ERROR: t1, t2\")","v":"OK"},null,"Time to Escape:",{"$f":"(((PI()+ASIN(B4-PI()))/B4)*B2)/B3","v":10.434373589053026},null,null,null,null,null,"purpl centr moving",{"$f":"C10-B2/8","v":-12.5},{"$f":"D10","v":0}]
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[]
[null,"Centre",0,0,null,"Graph Title:",{"$f":"\"R=\" & TEXT(B2,\"0\") &\", v=\" & TEXT(B3,\"0\") &\", k=\" & TEXT(B4,\"0\") &\" (t=\" & TEXT(B5,\"0.00\") & \", Distance=\" & TEXT(B6,\"0.000\") &\")\"","v":"R=100, v=10, k=4 (t=0.00, Distance=0.000 R)"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Moving",null,"Final #2",null,"Moving",null,"Final #3"]
["N","Radians","Big R Circle",null,"R/k Circle",null,"R(1-PI/k) Circle",null,"R/(2k) Half Circle",null,"Line Between Dog & Human",null,"Escape Route",null,null,null,null,"Zig-Zag Circle (#2)",null,"Zig-Zag Circle (#2)",null,"Zig-Zag Circle (#3)",null,"Zig-Zag Circle (#3)",null,"Escape route"]
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