.s8?.GSP!@@b@bb~`S^SG|l|F|jXx{vmrAרP@2CB_|BרP@2C>Cn ',CרP@2CCR 6DרP@2C6C$ P'U,ZרP@2B$BPGULdrag me@2BB&H!drag me@2!Dirichlet regions for four points$((\ch=h8 (drag me@2 H/~^ The loci of circle intersections trace the boundaries of four Dirichlet regions, each containing one of the points A, B, C, D. The Dirichlet region containing A, for example, is the set of points P which are closer to A than to any of the other points B, C, or D. It follows that the boundary between two Dirichlet regions is the set where distances to two of the points A, B, C, D are equal and less than or equal to the other two distances. Finally, the corners or vertices are the points where 3 distances are equal but less than or equal to the fourth. Since the circles have the same radius. The points on the circles have the same distances to the corresponding centers, so the intersection points of two circles are equidistant from two of the four points A, B, C, D.  Q2h  C8CYP|  @ 3<  drag me@2< KDirections: Drag the end point of the radius segment to change the circle size and see the regions. The points A, B, C, D can be rearranged to see various possible forms for the Dirichlet regions.s.iPU$hU$h<U-x>  drag me@2 J. King, U. Washington, 12/94 HHbd l jrag me@2CBC>Cn?, krag me@2C>CnCCR?, mrag me@2CCRC6C$?l nrag me@2C6C$CB?l,U vrag me@2CBCCR?H yrag me@2C>CnC6C$?O&ULH radiuse@2B$BBB?Q+i Show Explain2 i{j Hide Explain2 jHEide Explain2C]C Fide Explain2CoC; Gide Explain2CsC` Hide Explain2CaC. '_(uide Explain2CBCC>?HLide Explain2CC 'Uwide Explain2CBC"C?]'Hxide Explain2C>CnB|C'? Pide Explain2C:CI?'UUzide Explain2C>CnCCf?' .Uaide Explain2CCRCC? u'bide Explain2CCRCFCv?' cide Explain2CCRCB? 'Hdide Explain2C6C$CkCs?U'eide Explain2C6C$CdBD? |'fide Explain2C6C$CC?O%1ide Explain2CBB?5%F?5%F2ide Explain2C6C$B?5%F?5%F IhX3ide Explain2CCRB?5%F?5%F4ide Explain2C>CnB?5%F?5%FW '\ pide Explain2CaC.BB? }' qide Explain2CsC`CC? 'ride Explain2CoC;CB? I'side Explain2C]C C@CX?='midlineplain2CC C4CD?'midlineplain2C:CICCA?Bray endplain2ChCA +(\a\Kay endplain2C8U int w 1/2 space2ChCA CMj(CF?@?] int w 1/2 space2ClCCkC&YCK?BAI0 int w 1/2 space2Cu.LC,ACKeB?DCI int w 1/2 space2ChCA CkgC9?E?m'hnt w 1/2 space2C[C+eC}$BN|?QG#'nTj1t w 1/2 space2CgC1CBt?QFDvW  Show rays space2  PPQRSTUVWXYZ[Xvk  Hide rays space2  PQRSTUVWXYZ['An1de rays space2CdD*CCmBW|?[I~V'p1de rays space2CVB4CyB?[HQ1de rays space 2C,C"W$ HR1de rays space 2ClC_eW$'w1de rays space2Cp=C8@C/sC?UK'`x1de rays space2CnfC=C,C#/?UJ|'a1de rays space2CFACGC>~C?YMU'b1de rays space2C-CJS;C&4CE?YL'e1de rays space2CuChCQX Crg?SO''f1de rays space2Cq@CWj;CLC`?SNQ2de rays space2C9{C@MX-D1de rays space2C[C+eQ\UE1de rays space2CgC1Q]K1de rays space2CdD)C[`}L1de rays space2CVB2[a'\s1de rays space2ClC_eCXCR?VcR't1de rays space2C,C"CCV?VbY1de rays space2Cp=C8@UdZ1de rays space2CnfC=UeE2de rays space2CFACGYfF2de rays space2C-CJS<YgL2de rays space2CuChShM2de rays space2Cq@CWj;Sim' prek1de rays space2C[C+eC(CN?Pk/'y`m1de rays space2CgC1C3ГCM?Pl'q1de rays space2CdD)CCFBәV?Zm~V'r1de rays space2CVB2CbBA?Zn AS1de rays space2ClC_eVoT1de rays space2C,C"Vp'Uy1de rays space2Cp=C8@C~CZ]?Tq'z1de rays space2CnfC=CevC`M?Tr|'c1de rays space2CFACGC@{CE?XsU'd1de rays space2C-CJS