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index exch /.notdef put} for dup 80 /summationtext put readonly def /PaintType 0 def /FontType 1 def /StrokeWidth 0 def /FontMatrix[0.001 0 0 0.001 0 0]readonly def /UniqueID 4043064 def /FontBBox{-5 -2960 1609 752}readonly def currentdict end currentfile eexec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/Esmall put dup 102 /Fsmall put dup 104 /Hsmall put dup 108 /Lsmall put dup 109 /Msmall put dup 111 /Osmall put dup 114 /Rsmall put dup 121 /Ysmall put readonly def /PaintType 0 def /FontType 1 def /StrokeWidth 0 def /FontMatrix[0.001 0 0 0.001 0 0]readonly def /UniqueID 4360157 def /FontBBox{-35 -163 750 681}readonly def currentdict end currentfile eexec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dup begin /version (3.0) readonly def /FullName (rtxr) readonly def /FamilyName (rtxr) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /Notice (Version 3.0, GPL) readonly def /em 1000 def /ascent 800 def /descent 200 def end readonly def /FontName /rtxr def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 2 /Theta put dup 11 /ff put dup 14 /ffi put dup 43 /plus put dup 61 /equal put readonly def /PaintType 0 def /FontType 1 def /StrokeWidth 0 def /FontMatrix[0.001 0 0 0.001 0 0]readonly def /UniqueID 4895456 def /FontBBox{-70 -218 792 683}readonly def currentdict end currentfile eexec D9D66F633B846AB284BCF8B0411B772DE5CD06DFE1BE899059C588357426D7A0 7B684C079A47D271426064AD18CB9750D8A986D1D67C1B2AEEF8CE785CC19C81 DE96489F740045C5E342F02DA1C9F9F3C167651E646F1A67CF379789E311EF91 511D0F605B045B279357D6FC8537C233E7AEE6A4FDBE73E75A39EB206D20A6F6 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/PaintType 0 def /FontType 1 def /StrokeWidth 0 def /FontMatrix[0.001 0 0 0.001 0 0]readonly def /UniqueID 4377297 def /FontBBox{-170 -330 1336 843}readonly def currentdict end currentfile eexec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s gr % Polyline n 2700 7575 m 3300 7350 l gs col0 s gr % Polyline n 3300 7350 m 3900 7350 l gs col0 s gr % Polyline n 3900 7350 m 4500 7575 l gs col0 s gr % Polyline n 4500 7575 m 4650 7875 l gs col0 s gr % Polyline n 4650 7875 m 4875 8025 l gs col0 s gr % Polyline n 4875 8025 m 5100 8025 l gs col0 s gr % Polyline n 5100 8025 m 5250 7875 l gs col0 s gr % Polyline n 5250 7875 m 5700 8025 l gs col0 s gr % Polyline n 5700 8025 m 5700 7425 l gs col0 s gr % Polyline n 5700 7425 m 5625 7050 l gs col0 s gr % Polyline n 5625 7050 m 5100 6900 l gs col0 s gr % Polyline n 5100 6900 m 4875 6525 l gs col0 s gr % Polyline n 4875 6525 m 4650 6075 l gs col0 s gr % Polyline n 4650 6075 m 4275 5925 l gs col0 s gr % Polyline n 4275 5925 m 3900 5925 l gs col0 s gr % Polyline n 3900 5925 m 3375 5925 l gs col0 s gr % Polyline n 3375 5925 m 2925 6075 l gs col0 s gr % Polyline n 2925 6075 m 2700 6375 l gs col0 s gr % Polyline n 2700 6375 m 2625 6825 l gs col0 s gr % Polyline n 2625 6825 m 2175 6900 l gs col0 s gr % Polyline n 2175 6900 m 1725 7050 l gs col0 s gr % Polyline n 1725 7050 m 1650 7200 l gs col0 s gr % Polyline n 1650 7200 m 1500 8025 l gs col0 s gr % Polyline n 1500 8025 m 1950 7875 l gs col0 s gr % Polyline n 4050 6525 m 3900 5925 l gs col0 s gr % Polyline n 3375 5925 m 4050 6525 l gs col0 s gr % Polyline n 4050 6525 m 4875 6525 l gs col0 s gr % Polyline n 5700 7425 m 5250 7875 l gs col0 s gr % Polyline n 4050 6525 m 4500 7575 l gs col0 s gr % Polyline n 3075 6975 m 3900 7350 l gs col0 s gr % Polyline n 2100 7350 m 2700 7575 l gs col0 s gr % Polyline n 1650 7200 m 1950 7875 l gs col0 s gr % Polyline n 2100 7350 m 2625 6825 l gs col0 s gr % Polyline n 2625 6825 m 2700 7575 l gs col0 s gr % Polyline n 4800 7425 m 5325 7125 l gs col0 s gr % Polyline n 1500 3750 m 1500 4200 l gs col0 s gr % Polyline n 2250 3450 m 1800 3450 l gs col0 s gr % Polyline n 1500 4200 m 1950 4200 l gs col0 s gr % Polyline n 2700 4200 m 3300 4200 l gs col0 s gr % Polyline n 3300 4200 m 3900 4200 l gs col0 s gr % Polyline n 3900 4200 m 4500 4200 l gs col0 s gr % Polyline n 5250 4200 m 5700 4200 l gs col0 s gr % Polyline n 5700 4200 m 5700 3750 l gs col0 s gr % Polyline n 5550 3450 m 5100 3450 l gs col0 s gr % Polyline n 5100 3450 m 4875 3075 l gs col0 s gr % Polyline n 4875 3075 m 4650 2700 l gs col0 s gr % Polyline n 4650 2700 m 4275 2700 l gs col0 s gr % Polyline n 4275 2700 m 3900 2700 l gs col0 s gr % Polyline n 3900 2700 m 3375 2700 l gs col0 s gr % Polyline n 3375 2700 m 2925 2700 l gs col0 s gr % Polyline n 2925 2700 m 2700 3000 l gs col0 s gr % Polyline n 2700 3000 m 2625 3375 l gs col0 s gr % Polyline n 2625 3375 m 2250 3450 l gs col0 s gr % Polyline n 5700 3750 m 5550 3450 l gs col0 s gr % Polyline n 1950 4200 m 2100 4425 l gs col0 s gr % Polyline n 2100 4425 m 2325 4500 l gs col0 s gr % Polyline n 2550 4425 m 2700 4200 l gs col0 s gr % Polyline n 2325 4500 m 2550 4425 l gs col0 s gr % Polyline n 4650 4425 m 4875 4500 l gs col0 s gr % Polyline n 4500 4200 m 4650 4425 l gs col0 s gr % Polyline n 5100 4425 m 5250 4200 l gs col0 s gr % Polyline n 4875 4500 m 5100 4425 l gs col0 s gr % Polyline n 4500 4200 m 4875 4050 l gs col0 s gr % Polyline n 4875 4050 m 4650 4425 l gs col0 s gr % Polyline n 4875 4500 m 4875 4050 l gs col0 s gr % Polyline n 4875 4050 m 5100 4425 l gs col0 s gr % Polyline n 4875 4050 m 5250 4200 l gs col0 s gr % Polyline n 5250 4200 m 5325 3825 l gs col0 s gr % Polyline n 5325 3825 m 5700 4200 l gs col0 s gr % Polyline n 5325 3825 m 5700 3750 l gs col0 s gr % Polyline n 5325 3825 m 5550 3450 l gs col0 s gr % Polyline n 5100 3450 m 5325 3825 l gs col0 s gr % Polyline n 5325 3825 m 4875 4050 l gs col0 s gr % Polyline n 4875 4050 m 4575 3675 l gs col0 s gr % Polyline n 4575 3675 m 5100 3450 l gs col0 s gr % Polyline n 5100 3450 m 4875 4050 l gs col0 s gr % Polyline n 4500 4200 m 4575 3675 l gs col0 s gr % Polyline n 4575 3675 m 4875 3075 l gs col0 s gr % Polyline n 4875 3075 m 4200 3150 l gs col0 s gr % Polyline n 4200 3150 m 4575 3675 l gs col0 s gr % Polyline n 4200 3150 m 4275 2700 l gs col0 s gr % Polyline n 4650 2700 m 4200 3150 l gs col0 s gr % Polyline n 4200 3150 m 3900 2700 l gs col0 s gr % Polyline n 3750 3750 m 4200 3150 l gs col0 s gr % Polyline n 4200 3150 m 3225 3225 l gs col0 s gr % Polyline n 3225 3225 m 3900 2700 l gs col0 s gr % Polyline n 3375 2700 m 3225 3225 l gs col0 s gr % Polyline n 3225 3225 m 2925 2700 l gs col0 s gr % Polyline n 2700 3000 m 3225 3225 l gs col0 s gr % Polyline n 3225 3225 m 2625 3375 l gs col0 s gr % Polyline n 2625 3375 m 2925 3825 l gs col0 s gr % Polyline n 2925 3825 m 3225 3225 l gs col0 s gr % Polyline n 3225 3225 m 3750 3750 l gs col0 s gr % Polyline n 3750 3750 m 3900 4200 l gs col0 s gr % Polyline n 3750 3750 m 3300 4200 l gs col0 s gr % Polyline n 3300 4200 m 2925 3825 l gs col0 s gr % Polyline n 2925 3825 m 3750 3750 l gs col0 s gr % Polyline n 2925 3825 m 2700 4200 l gs col0 s gr % Polyline n 2700 4200 m 2325 4050 l gs col0 s gr % Polyline n 2325 4050 m 2250 3450 l gs col0 s gr % Polyline n 2250 3450 m 1950 3825 l gs col0 s gr % Polyline n 2325 4050 m 1950 3825 l gs col0 s gr % Polyline n 1950 3825 m 1950 4200 l gs col0 s gr % Polyline n 1950 3825 m 1500 4200 l gs col0 s gr % Polyline n 1500 3750 m 1950 3825 l gs col0 s gr % Polyline n 1950 3825 m 1800 3450 l gs col0 s gr % Polyline n 2325 4050 m 1950 4200 l gs col0 s gr % Polyline n 2100 4425 m 2325 4050 l gs col0 s gr % Polyline n 2325 4050 m 2325 4500 l gs col0 s gr % Polyline n 2550 4425 m 2325 4050 l gs col0 s gr % Polyline n 2325 4050 m 2925 3825 l gs col0 s gr % Polyline n 2625 3375 m 2325 4050 l gs col0 s gr % Polyline n 3900 4200 m 4575 3675 l gs col0 s gr % Polyline n 4575 3675 m 3750 3750 l gs col0 s gr % Polyline n 1800 3450 m 1500 3750 l gs col0 s gr % Polyline n 8100 7350 m 7650 7050 l gs col0 s gr % Polyline n 8175 6900 m 8100 7350 l gs col0 s gr % Polyline n 8100 7350 m 8250 7650 l gs col0 s gr % Polyline n 8250 7650 m 7950 7875 l gs col0 s gr % Polyline n 8100 8025 m 8250 7650 l gs col0 s gr % Polyline n 8250 7650 m 8325 8025 l gs col0 s gr % Polyline n 8250 7650 m 8550 7875 l gs col0 s gr % Polyline n 8250 7650 m 8700 7575 l gs col0 s gr % Polyline n 7950 7875 m 8100 7350 l gs col0 s gr % Polyline n 9075 6975 m 8625 6825 l gs col0 s gr % Polyline n 8700 7575 m 9075 6975 l gs col0 s gr % Polyline n 9075 6975 m 9300 7350 l gs col0 s gr % Polyline n 10050 6525 m 9900 7350 l gs col0 s gr % Polyline n 10800 7425 m 10500 7575 l gs col0 s gr % Polyline n 10500 7575 m 10875 7650 l gs col0 s gr % Polyline n 10875 7650 m 10650 7875 l gs col0 s gr % Polyline n 10875 8025 m 10875 7650 l gs col0 s gr % Polyline n 10875 7650 m 11100 8025 l gs col0 s gr % Polyline n 11250 7875 m 10875 7650 l gs col0 s gr % Polyline n 11325 7125 m 11100 6900 l gs col0 s gr % Polyline n 10875 7650 m 10800 7425 l gs col0 s gr % Polyline n 10800 7425 m 11100 6900 l gs col0 s gr % Polyline n 11325 7125 m 11625 7050 l gs col0 s gr % Polyline n 11325 7125 m 11700 7425 l gs col0 s gr % Polyline n 10050 6525 m 10350 6375 l gs col0 s gr % Polyline n 10800 7425 m 10875 6525 l gs col0 s gr % Polyline n 10650 6075 m 10350 6375 l gs col0 s gr % Polyline n 10350 6375 m 10875 6525 l gs col0 s gr % Polyline n 10350 6375 m 10275 5925 l gs col0 s gr % Polyline n 9900 5925 m 10350 6375 l gs col0 s gr % Polyline n 9375 5925 m 9150 6375 l gs col0 s gr % Polyline n 9150 6375 m 8925 6075 l gs col0 s gr % Polyline n 9150 6375 m 8700 6375 l gs col0 s gr % Polyline n 8625 6825 m 9150 6375 l gs col0 s gr % Polyline n 9150 6375 m 9075 6975 l gs col0 s gr % Polyline n 10050 6525 m 9150 6375 l gs col0 s gr % Polyline n 7950 7875 m 8100 8025 l gs col0 s gr % Polyline n 8100 8025 m 8325 8025 l gs col0 s gr % Polyline n 8325 8025 m 8550 7875 l gs col0 s gr % Polyline n 8550 7875 m 8700 7575 l gs col0 s gr % Polyline n 8700 7575 m 9300 7350 l gs col0 s gr % Polyline n 9300 7350 m 9900 7350 l gs col0 s gr % Polyline n 9900 7350 m 10500 7575 l gs col0 s gr % Polyline n 10500 7575 m 10650 7875 l gs col0 s gr % Polyline n 10650 7875 m 10875 8025 l gs col0 s gr % Polyline n 10875 8025 m 11100 8025 l gs col0 s gr % Polyline n 11100 8025 m 11250 7875 l gs col0 s gr % Polyline n 11250 7875 m 11700 8025 l gs col0 s gr % Polyline n 11700 8025 m 11700 7425 l gs col0 s gr % Polyline n 11700 7425 m 11625 7050 l gs col0 s gr % Polyline n 11625 7050 m 11100 6900 l gs col0 s gr % Polyline n 11100 6900 m 10875 6525 l gs col0 s gr % Polyline n 10875 6525 m 10650 6075 l gs col0 s gr % Polyline n 10650 6075 m 10275 5925 l gs col0 s gr % Polyline n 10275 5925 m 9900 5925 l gs col0 s gr % Polyline n 9900 5925 m 9375 5925 l gs col0 s gr % Polyline n 9375 5925 m 8925 6075 l gs col0 s gr % Polyline n 8925 6075 m 8700 6375 l gs col0 s gr % Polyline n 8700 6375 m 8625 6825 l gs col0 s gr % Polyline n 8625 6825 m 8175 6900 l gs col0 s gr % Polyline n 8175 6900 m 7650 7050 l gs col0 s gr % Polyline n 7650 7050 m 7500 8025 l gs col0 s gr % Polyline n 7500 8025 m 7950 7875 l gs col0 s gr % Polyline n 7650 7050 m 7950 7875 l gs col0 s gr % Polyline n 8100 7350 m 8700 7575 l gs col0 s gr % Polyline n 8100 7350 m 8625 6825 l gs col0 s gr % Polyline n 8625 6825 m 8700 7575 l gs col0 s gr % Polyline n 9375 5925 m 10050 6525 l gs col0 s gr % Polyline n 10050 6525 m 9900 5925 l gs col0 s gr % Polyline n 11700 7425 m 11250 7875 l gs col0 s gr % Polyline n 9900 7350 m 10425 6900 l gs col0 s gr % Polyline n 10425 6900 m 10500 7575 l gs col0 s gr % Polyline n 10425 6900 m 10800 7425 l gs col0 s gr % Polyline n 10425 6900 m 10875 6525 l gs col0 s gr % Polyline n 10425 6900 m 10350 6375 l gs col0 s gr % Polyline n 10425 6900 m 10050 6525 l gs col0 s gr % Polyline n 11175 7425 m 10875 7650 l gs col0 s gr % Polyline n 10800 7425 m 11175 7425 l gs col0 s gr % Polyline n 11175 7425 m 11325 7125 l gs col0 s gr % Polyline n 11100 6900 m 11175 7425 l gs col0 s gr % Polyline n 11175 7425 m 11250 7875 l gs col0 s gr % Polyline n 11175 7425 m 11700 7425 l gs col0 s gr % Polyline n 7500 4425 m 8100 3750 l gs col0 s gr % Polyline n 8100 3750 m 7650 3600 l gs col0 s gr % Polyline n 8100 3750 m 7725 3450 l gs col0 s gr % Polyline n 8175 3300 m 8100 3750 l gs col0 s gr % Polyline n 8100 3750 m 8250 4050 l gs col0 s gr % Polyline n 8250 4050 m 7950 4275 l gs col0 s gr % Polyline n 8100 4425 m 8250 4050 l gs col0 s gr % Polyline n 8250 4050 m 8325 4425 l gs col0 s gr % Polyline n 8250 4050 m 8550 4275 l gs col0 s gr % Polyline n 8250 4050 m 8700 3975 l gs col0 s gr % Polyline n 7950 4275 m 8100 3750 l gs col0 s gr % Polyline n 8250 4050 m 8175 3300 l gs col0 s gr % Polyline n 8625 3225 m 8250 4050 l gs col0 s gr % Polyline n 8250 4050 m 9075 3375 l gs col0 s gr % Polyline n 9075 3375 m 8625 3225 l gs col0 s gr % Polyline n 8700 3975 m 9075 3375 l gs col0 s gr % Polyline n 9075 3375 m 9300 3750 l gs col0 s gr % Polyline n 9300 3750 m 10050 2925 l gs col0 s gr % Polyline n 10050 2925 m 9900 3750 l gs col0 s gr % Polyline n 9900 3750 m 10800 3825 l gs col0 s gr % Polyline n 10800 3825 m 10500 3975 l gs col0 s gr % Polyline n 10500 3975 m 10875 4050 l gs col0 s gr % Polyline n 10875 4050 m 10650 4275 l gs col0 s gr % Polyline n 10875 4425 m 10875 4050 l gs col0 s gr % Polyline n 10875 4050 m 11100 4425 l gs col0 s gr % Polyline n 11250 4275 m 10875 4050 l gs col0 s gr % Polyline n 10875 4050 m 11325 3525 l gs col0 s gr % Polyline n 11325 3525 m 11100 3300 l gs col0 s gr % Polyline n 11100 3300 m 10875 4050 l gs col0 s gr % Polyline n 10875 4050 m 10800 3825 l gs col0 s gr % Polyline n 10800 3825 m 11100 3300 l gs col0 s gr % Polyline n 11325 3525 m 11625 3450 l gs col0 s gr % Polyline n 11325 3525 m 11700 3825 l gs col0 s gr % Polyline n 11325 3525 m 11700 4425 l gs col0 s gr % Polyline n 11250 4275 m 11325 3525 l gs col0 s gr % Polyline n 10800 3825 m 10050 2925 l gs col0 s gr % Polyline n 10050 2925 m 10350 2775 l gs col0 s gr % Polyline n 10350 2775 m 10800 3825 l gs col0 s gr % Polyline n 10800 3825 m 10875 2925 l gs col0 s gr % Polyline n 10650 2475 m 10350 2775 l gs col0 s gr % Polyline n 10350 2775 m 10875 2925 l gs col0 s gr % Polyline n 10350 2775 m 10275 2325 l gs col0 s gr % Polyline n 9900 2325 m 10350 2775 l gs col0 s gr % Polyline n 10350 2775 m 9150 2775 l gs col0 s gr % Polyline n 9150 2775 m 9900 2325 l gs col0 s gr % Polyline n 9375 2325 m 9150 2775 l gs col0 s gr % Polyline n 9150 2775 m 8925 2475 l gs col0 s gr % Polyline n 9150 2775 m 8700 2775 l gs col0 s gr % Polyline n 8625 3225 m 9150 2775 l gs col0 s gr % Polyline n 9150 2775 m 9075 3375 l gs col0 s gr % Polyline n 9075 3375 m 10050 2925 l gs col0 s gr % Polyline n 10050 2925 m 9150 2775 l gs col0 s gr % Polyline n 7950 4275 m 8100 4425 l gs col0 s gr % Polyline n 8100 4425 m 8325 4425 l gs col0 s gr % Polyline n 8325 4425 m 8550 4275 l gs col0 s gr % Polyline n 8550 4275 m 8700 3975 l gs col0 s gr % Polyline n 8700 3975 m 9300 3750 l gs col0 s gr % Polyline n 9300 3750 m 9900 3750 l gs col0 s gr % Polyline n 9900 3750 m 10500 3975 l gs col0 s gr % Polyline n 10500 3975 m 10650 4275 l gs col0 s gr % Polyline n 10650 4275 m 10875 4425 l gs col0 s gr % Polyline n 10875 4425 m 11100 4425 l gs col0 s gr % Polyline n 11100 4425 m 11250 4275 l gs col0 s gr % Polyline n 11250 4275 m 11700 4425 l gs col0 s gr % Polyline n 11700 4425 m 11700 3825 l gs col0 s gr % Polyline n 11700 3825 m 11625 3450 l gs col0 s gr % Polyline n 11625 3450 m 11100 3300 l gs col0 s gr % Polyline n 11100 3300 m 10875 2925 l gs col0 s gr % Polyline n 10875 2925 m 10650 2475 l gs col0 s gr % Polyline n 10650 2475 m 10275 2325 l gs col0 s gr % Polyline n 10275 2325 m 9900 2325 l gs col0 s gr % Polyline n 9900 2325 m 9375 2325 l gs col0 s gr % Polyline n 9375 2325 m 8925 2475 l gs col0 s gr % Polyline n 8925 2475 m 8700 2775 l gs col0 s gr % Polyline n 8700 2775 m 8625 3225 l gs col0 s gr % Polyline n 8625 3225 m 8175 3300 l gs col0 s gr % Polyline n 8175 3300 m 7725 3450 l gs col0 s gr % Polyline n 7725 3450 m 7650 3600 l gs col0 s gr % Polyline n 7650 3600 m 7500 4425 l gs col0 s gr % Polyline n 7500 4425 m 7950 4275 l gs col0 s gr % Polyline n 9600 6825 m 9075 6975 l gs col0 s gr % Polyline n 9600 6825 m 9150 6375 l gs col0 s gr % Polyline n 9600 6825 m 10050 6525 l gs col0 s gr % Polyline n 9600 6825 m 9900 7350 l gs col0 s gr % Polyline n 9600 6825 m 9300 7350 l gs col0 s gr % Polyline 0.000 slw n 6150 3375 m 6150 3525 l 6900 3525 l 6900 3600 l 7050 3450 l 6900 3300 l 6900 3375 l cp gs col7 0.00 shd ef gr % Polyline n 6150 6975 m 6150 7125 l 6900 7125 l 6900 7200 l 7050 7050 l 6900 6900 l 6900 6975 l cp gs col7 0.00 shd ef gr % here ends figure; % % here starts figure with depth 3 % Ellipse 7.500 slw n 4875 7650 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3075 6975 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4350 6375 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3150 6375 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2250 7650 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2100 7350 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 1950 7875 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2100 8025 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2325 8025 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2550 7875 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2700 7575 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3300 7350 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3900 7350 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4500 7575 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4650 7875 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4875 8025 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 5100 8025 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 5250 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5858 l 12436 5863 l 12461 5871 l 12491 5881 l 12525 5894 l 12562 5908 l 12600 5925 l 12644 5946 l 12683 5967 l 12718 5987 l 12747 6005 l 12773 6023 l 12795 6040 l 12814 6056 l 12831 6072 l 12846 6087 l 12859 6101 l 12871 6114 l 12880 6125 l 12888 6134 l 12893 6141 l 12897 6146 l 12899 6149 l 12900 6150 l gs col7 0.60 shd ef gr % Polyline n 12900 6150 m 12902 6150 l 12905 6151 l 12911 6153 l 12921 6155 l 12933 6158 l 12947 6162 l 12964 6167 l 12982 6173 l 13002 6180 l 13022 6188 l 13043 6198 l 13066 6209 l 13090 6222 l 13115 6237 l 13142 6255 l 13171 6276 l 13200 6300 l 13228 6325 l 13253 6350 l 13274 6372 l 13289 6391 l 13300 6406 l 13306 6419 l 13310 6428 l 13312 6436 l 13313 6444 l 13313 6451 l 13315 6459 l 13319 6470 l 13325 6483 l 13336 6499 l 13351 6519 l 13372 6543 l 13397 6571 l 13425 6600 l 13454 6628 l 13482 6653 l 13506 6674 l 13526 6690 l 13542 6702 l 13555 6709 l 13566 6714 l 13574 6717 l 13581 6719 l 13589 6720 l 13597 6723 l 13606 6728 l 13619 6735 l 13634 6745 l 13653 6760 l 13675 6778 l 13700 6800 l 13725 6825 l 13752 6853 l 13775 6879 l 13794 6902 l 13810 6924 l 13823 6943 l 13834 6961 l 13844 6978 l 13852 6994 l 13858 7008 l 13864 7021 l 13868 7031 l 13871 7040 l 13873 7045 l 13874 7048 l 13875 7050 l gs col7 0.60 shd ef gr % Polyline n 13875 7050 m 13876 7051 l 13878 7054 l 13881 7058 l 13886 7064 l 13893 7073 l 13901 7084 l 13910 7096 l 13920 7111 l 13930 7127 l 13941 7145 l 13951 7165 l 13963 7187 l 13975 7212 l 13987 7240 l 13999 7273 l 14012 7310 l 14025 7350 l 14036 7388 l 14045 7425 l 14054 7462 l 14061 7496 l 14068 7529 l 14073 7560 l 14078 7590 l 14082 7619 l 14085 7647 l 14088 7673 l 14091 7699 l 14093 7722 l 14095 7743 l 14097 7761 l 14098 7776 l 14099 7787 l 14100 7794 l 14100 7798 l 14100 7800 l gs col7 0.60 shd ef gr % Polyline n 3450 5325 m 3452 5325 l 3455 5323 l 3462 5321 l 3473 5319 l 3487 5315 l 3504 5310 l 3525 5304 l 3549 5298 l 3575 5292 l 3602 5285 l 3631 5279 l 3661 5272 l 3692 5266 l 3724 5261 l 3756 5256 l 3790 5252 l 3825 5249 l 3861 5247 l 3899 5247 l 3937 5248 l 3975 5250 l 4015 5255 l 4051 5261 l 4083 5269 l 4111 5278 l 4136 5287 l 4157 5297 l 4176 5308 l 4193 5319 l 4208 5330 l 4221 5341 l 4233 5352 l 4244 5363 l 4253 5373 l 4260 5381 l 4266 5388 l 4270 5394 l 4273 5397 l 4274 5399 l 4275 5400 l gs col7 0.60 shd ef gr % Polyline n 4275 5400 m 4276 5400 l 4280 5400 l 4285 5399 l 4294 5398 l 4305 5398 l 4319 5397 l 4336 5397 l 4355 5398 l 4375 5399 l 4398 5401 l 4423 5405 l 4451 5410 l 4482 5417 l 4517 5427 l 4557 5440 l 4601 5456 l 4650 5475 l 4688 5491 l 4724 5508 l 4758 5524 l 4788 5540 l 4813 5554 l 4835 5566 l 4852 5577 l 4866 5587 l 4877 5596 l 4886 5604 l 4893 5612 l 4900 5619 l 4907 5626 l 4914 5633 l 4924 5642 l 4935 5651 l 4950 5661 l 4969 5673 l 4992 5687 l 5020 5702 l 5053 5719 l 5090 5737 l 5132 5756 l 5175 5775 l 5222 5795 l 5267 5812 l 5307 5827 l 5341 5838 l 5370 5847 l 5393 5853 l 5412 5856 l 5427 5858 l 5438 5858 l 5448 5857 l 5456 5856 l 5464 5855 l 5474 5854 l 5484 5854 l 5498 5855 l 5515 5858 l 5536 5863 l 5561 5871 l 5591 5881 l 5625 5894 l 5662 5908 l 5700 5925 l 5744 5946 l 5783 5967 l 5818 5987 l 5847 6005 l 5873 6023 l 5895 6040 l 5914 6056 l 5931 6072 l 5946 6087 l 5959 6101 l 5971 6114 l 5980 6125 l 5988 6134 l 5993 6141 l 5997 6146 l 5999 6149 l 6000 6150 l gs col7 0.60 shd ef gr % Polyline n 6000 6900 m 5999 6899 l 5996 6897 l 5991 6893 l 5983 6887 l 5972 6878 l 5958 6868 l 5942 6856 l 5923 6842 l 5903 6827 l 5880 6811 l 5857 6794 l 5833 6777 l 5807 6759 l 5781 6741 l 5753 6722 l 5723 6703 l 5692 6683 l 5659 6663 l 5624 6642 l 5588 6621 l 5550 6600 l 5509 6578 l 5471 6559 l 5436 6542 l 5404 6527 l 5376 6515 l 5349 6504 l 5325 6495 l 5302 6487 l 5281 6480 l 5262 6473 l 5244 6468 l 5227 6463 l 5213 6459 l 5201 6456 l 5191 6454 l 5184 6452 l 5179 6451 l 5176 6450 l 5175 6450 l gs col7 0.60 shd ef gr % here ends figure; % % here starts figure with depth 55 % Polyline n 12900 1650 m 9000 3300 l 13875 2550 l cp gs col7 0.30 shd ef gr % Polyline 2 slj n 12900 1650 m 12902 1650 l 12905 1651 l 12911 1653 l 12921 1655 l 12933 1658 l 12947 1662 l 12964 1667 l 12982 1673 l 13002 1680 l 13022 1688 l 13043 1698 l 13066 1709 l 13090 1722 l 13115 1737 l 13142 1755 l 13171 1776 l 13200 1800 l 13228 1825 l 13253 1850 l 13274 1872 l 13289 1891 l 13300 1906 l 13306 1919 l 13310 1928 l 13312 1936 l 13313 1944 l 13313 1951 l 13315 1959 l 13319 1970 l 13325 1983 l 13336 1999 l 13351 2019 l 13372 2043 l 13397 2071 l 13425 2100 l 13454 2128 l 13482 2153 l 13506 2174 l 13526 2190 l 13542 2202 l 13555 2209 l 13566 2214 l 13574 2217 l 13581 2219 l 13589 2220 l 13597 2223 l 13606 2228 l 13619 2235 l 13634 2245 l 13653 2260 l 13675 2278 l 13700 2300 l 13725 2325 l 13752 2353 l 13775 2379 l 13794 2402 l 13810 2424 l 13823 2443 l 13834 2461 l 13844 2478 l 13852 2494 l 13858 2508 l 13864 2521 l 13868 2531 l 13871 2540 l 13873 2545 l 13874 2548 l 13875 2550 l gs col7 0.30 shd ef gr % here ends figure; % % here starts figure with depth 30 % Polyline 2 slj n 2100 3300 m 5100 2850 l 4950 2100 l 3900 1350 l 3000 1650 l cp gs col7 0.80 shd ef gr % Polyline n 9000 3300 m 12000 2850 l 11850 2100 l 10800 1350 l 9900 1650 l cp gs col7 0.80 shd ef gr % Polyline n 9000 7800 m 12600 7800 l 11850 6600 l 10800 5850 l 9900 6150 l cp gs col7 0.80 shd ef gr % Polyline n 2100 7800 m 4050 7350 l 3675 7125 l 4950 6600 l 3900 5850 l 3000 6150 l cp gs col7 0.80 shd ef gr % here ends figure; % % here starts figure with depth 27 % Polyline 2 slj n 9000 3300 m 12000 2850 l 11850 2100 l cp gs col7 0.30 shd ef gr % here ends figure; % % here starts figure with depth 25 % Polyline 2 slj 30.000 slw gs clippath 3911 180 m 3753 93 l 3542 479 l 3794 207 l 3700 565 l cp eoclip n 2100 3300 m 3825 150 l gs col0 s gr gr % arrowhead 0 slj n 3700 565 m 3794 207 l 3542 479 l 3700 565 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 5026 275 m 4894 152 l 4595 474 l 4906 272 l 4727 597 l cp eoclip n 2100 3300 m 4950 225 l gs col0 s gr gr % arrowhead 0 slj n 4727 597 m 4906 272 l 4595 474 l 4727 597 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 7473 1127 m 7403 961 l 6998 1132 l 7365 1075 l 7068 1298 l cp eoclip n 2100 3300 m 7425 1050 l gs col0 s gr gr % arrowhead 0 slj n 7068 1298 m 7365 1075 l 6998 1132 l 7068 1298 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 7603 2561 m 7576 2383 l 7141 2449 l 7511 2485 l 7168 2627 l cp eoclip n 2100 3300 m 7575 2475 l gs col0 s gr gr % arrowhead 0 slj n 7168 2627 m 7511 2485 l 7141 2449 l 7168 2627 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 7890 3390 m 7890 3210 l 7450 3210 l 7810 3300 l 7450 3390 l cp eoclip n 2100 3300 m 7875 3300 l gs col0 s gr gr % arrowhead 0 slj n 7450 3390 m 7810 3300 l 7450 3210 l 7450 3390 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 10811 180 m 10653 93 l 10442 479 l 10694 207 l 10600 565 l cp eoclip n 9000 3300 m 10725 150 l gs col0 s gr gr % arrowhead 0 slj n 10600 565 m 10694 207 l 10442 479 l 10600 565 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 11926 275 m 11794 152 l 11495 474 l 11806 272 l 11627 597 l cp eoclip n 9000 3300 m 11850 225 l gs col0 s gr gr % arrowhead 0 slj n 11627 597 m 11806 272 l 11495 474 l 11627 597 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 14373 1127 m 14303 961 l 13898 1132 l 14265 1075 l 13968 1298 l cp eoclip n 9000 3300 m 14325 1050 l gs col0 s gr gr % arrowhead 0 slj n 13968 1298 m 14265 1075 l 13898 1132 l 13968 1298 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 14503 2561 m 14476 2383 l 14041 2449 l 14411 2485 l 14068 2627 l cp eoclip n 9000 3300 m 14475 2475 l gs col0 s gr gr % arrowhead 0 slj n 14068 2627 m 14411 2485 l 14041 2449 l 14068 2627 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 14790 3390 m 14790 3210 l 14350 3210 l 14710 3300 l 14350 3390 l cp eoclip n 9000 3300 m 14775 3300 l gs col0 s gr gr % arrowhead 0 slj n 14350 3390 m 14710 3300 l 14350 3210 l 14350 3390 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 10811 4680 m 10653 4593 l 10442 4979 l 10694 4707 l 10600 5065 l cp eoclip n 9000 7800 m 10725 4650 l gs col0 s gr gr % arrowhead 0 slj n 10600 5065 m 10694 4707 l 10442 4979 l 10600 5065 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 11926 4775 m 11794 4652 l 11495 4974 l 11806 4772 l 11627 5097 l cp eoclip n 9000 7800 m 11850 4725 l gs col0 s gr gr % arrowhead 0 slj n 11627 5097 m 11806 4772 l 11495 4974 l 11627 5097 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 14373 5627 m 14303 5461 l 13898 5632 l 14265 5575 l 13968 5798 l cp eoclip n 9000 7800 m 14325 5550 l gs col0 s gr gr % arrowhead 0 slj n 13968 5798 m 14265 5575 l 13898 5632 l 13968 5798 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 14790 7890 m 14790 7710 l 14350 7710 l 14710 7800 l 14350 7890 l cp eoclip n 9000 7800 m 14775 7800 l gs col0 s gr gr % arrowhead 0 slj n 14350 7890 m 14710 7800 l 14350 7710 l 14350 7890 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 7890 7890 m 7890 7710 l 7450 7710 l 7810 7800 l 7450 7890 l cp eoclip n 2100 7800 m 7875 7800 l gs col0 s gr gr % arrowhead 0 slj n 7450 7890 m 7810 7800 l 7450 7710 l 7450 7890 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 6709 6834 m 6669 6658 l 6240 6756 l 6612 6764 l 6281 6932 l cp eoclip n 2100 7800 m 6675 6750 l gs col0 s gr gr % arrowhead 0 slj n 6281 6932 m 6612 6764 l 6240 6756 l 6281 6932 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 7603 7061 m 7576 6883 l 7141 6949 l 7511 6985 l 7168 7127 l cp eoclip n 2100 7800 m 7575 6975 l gs col0 s gr gr % arrowhead 0 slj n 7168 7127 m 7511 6985 l 7141 6949 l 7168 7127 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 7473 5627 m 7403 5461 l 6998 5632 l 7365 5575 l 7068 5798 l cp eoclip n 2100 7800 m 7425 5550 l gs col0 s gr gr % arrowhead 0 slj n 7068 5798 m 7365 5575 l 6998 5632 l 7068 5798 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 5026 4775 m 4894 4652 l 4595 4974 l 4906 4772 l 4727 5097 l cp eoclip n 2100 7800 m 4950 4725 l gs col0 s gr gr % arrowhead 0 slj n 4727 5097 m 4906 4772 l 4595 4974 l 4727 5097 l cp gs col7 1.00 shd ef gr col0 s % Polyline 2 slj gs clippath 3911 4680 m 3753 4593 l 3542 4979 l 3794 4707 l 3700 5065 l cp eoclip n 2100 7800 m 3825 4650 l gs col0 s gr gr % arrowhead 0 slj n 3700 5065 m 3794 4707 l 3542 4979 l 3700 5065 l cp gs col7 1.00 shd ef gr col0 s % here ends figure; % % here starts figure with depth 23 % Polyline 2 slj n 9000 3300 m 13275 2325 l 13875 2550 l cp gs 0.00 setgray ef gr % here ends figure; % % here starts figure with depth 15 % Ellipse 7.500 slw [60] 0 sd n 3300 2400 75 75 0 360 DrawEllipse gs col7 0.80 shd ef gr gs col0 s gr [] 0 sd % Ellipse [60] 0 sd n 4050 2850 75 75 0 360 DrawEllipse gs col7 0.80 shd ef gr gs col0 s gr [] 0 sd % Ellipse [60] 0 sd n 10200 2400 75 75 0 360 DrawEllipse gs col7 0.80 shd ef gr gs col0 s gr [] 0 sd % Ellipse [60] 0 sd n 10950 2850 75 75 0 360 DrawEllipse gs col7 0.35 shd ef gr gs col0 s gr [] 0 sd % Ellipse [60] 0 sd n 10950 7350 75 75 0 360 DrawEllipse gs col7 0.80 shd ef gr gs col0 s gr [] 0 sd % Ellipse [60] 0 sd n 10200 6900 75 75 0 360 DrawEllipse gs col7 0.80 shd ef gr gs col0 s gr [] 0 sd % Ellipse [60] 0 sd n 3300 6900 75 75 0 360 DrawEllipse gs col7 0.80 shd ef gr gs col0 s gr [] 0 sd % here ends figure; % % here starts figure with depth 10 % Polyline 2 slj 7.500 slw [60] 0 sd n 3300 2400 m 3000 1650 l gs col0 s gr [] 0 sd % Polyline 15.000 slw [90] 0 sd n 3300 2400 m 2100 3300 l gs col0 s gr [] 0 sd % Polyline 7.500 slw [60] 0 sd n 4050 2850 m 3300 2400 l gs col0 s gr [] 0 sd % Polyline [60] 0 sd n 4050 2850 m 5100 2850 l gs col0 s gr [] 0 sd % Polyline 15.000 slw [90] 0 sd n 2100 3300 m 4050 2850 l gs col0 s gr [] 0 sd % Polyline 7.500 slw [60] 0 sd n 10200 2400 m 9900 1650 l gs col0 s gr [] 0 sd % Polyline 15.000 slw [90] 0 sd n 10200 2400 m 9000 3300 l gs col0 s gr [] 0 sd % Polyline 7.500 slw [60] 0 sd n 10950 2850 m 10200 2400 l gs col0 s gr [] 0 sd % Polyline 15.000 slw [90] 0 sd n 9000 3300 m 10950 2850 l gs col7 s gr [] 0 sd % Polyline 7.500 slw [60] 0 sd n 10950 2850 m 12000 2850 l gs col7 s gr [] 0 sd % Polyline [60] 0 sd n 11850 2100 m 12000 2850 l gs col7 s gr [] 0 sd % Polyline [60] 0 sd n 10200 6900 m 9900 6150 l gs col0 s gr [] 0 sd % Polyline [60] 0 sd n 10950 7350 m 10200 6900 l gs col0 s gr [] 0 sd % Polyline 15.000 slw [90] 0 sd n 10200 6900 m 9000 7800 l gs col0 s gr [] 0 sd % Polyline [90] 0 sd n 9000 7800 m 10950 7350 l gs col0 s gr [] 0 sd % Polyline 7.500 slw [60] 0 sd n 10950 7350 m 12600 7800 l gs col0 s gr [] 0 sd % Polyline 15.000 slw [90] 0 sd n 9000 7800 m 13950 7050 l gs col0 s gr [] 0 sd % Polyline [90] 0 sd n 3300 6900 m 2100 7800 l gs col0 s gr [] 0 sd % Polyline 7.500 slw [60] 0 sd n 3300 6900 m 3000 6150 l gs col0 s gr [] 0 sd % Polyline [60] 0 sd n 3300 6900 m 3675 7125 l gs col0 s gr [] 0 sd % here ends figure; % % here starts figure with depth 5 % Ellipse 7.500 slw n 3000 1650 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 1350 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4950 2100 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 2850 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 3300 106 106 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2100 3300 106 106 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 9900 1650 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10800 1350 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 11850 2100 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 12000 2850 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse [60] 0 sd n 9000 3300 106 106 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr [] 0 sd % Ellipse [60] 0 sd n 12600 3300 106 106 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr [] 0 sd % Ellipse n 12600 7800 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 11850 6600 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10800 5850 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9900 6150 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9000 7800 106 106 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3000 6150 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 5850 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4950 6600 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 7350 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4050 7350 75 75 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 7800 106 106 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 5700 7800 106 106 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Polyline 0.000 slw n 8775 3900 m 8925 4050 l 8175 4800 l 8250 4875 l 7950 4875 l 7950 4575 l 8025 4650 l cp gs col7 0.00 shd ef gr % Polyline n 7950 1725 m 7950 1875 l 8700 1875 l 8700 1950 l 8850 1800 l 8700 1650 l 8700 1725 l cp gs col7 0.00 shd ef gr % Polyline n 7950 6225 m 7950 6375 l 8700 6375 l 8700 6450 l 8850 6300 l 8700 6150 l 8700 6225 l cp gs col7 0.00 shd ef gr % here ends figure; % % here starts figure with depth 0 /Times-Italic ff 600.00 scf sf 1875 3750 m gs 1 -1 sc (v) col0 sh gr /Times-Italic ff 600.00 scf sf 5550 3750 m gs 1 -1 sc (w) col0 sh gr /Times-Italic ff 600.00 scf sf 8775 3750 m gs 1 -1 sc (v) col0 sh gr /Times-Italic ff 600.00 scf sf 12450 3750 m gs 1 -1 sc (w) col0 sh gr /Times-Italic ff 600.00 scf sf 8775 8250 m gs 1 -1 sc (v) col0 sh gr /Times-Italic ff 600.00 scf sf 12525 8250 m gs 1 -1 sc (w) col0 sh gr /Times-Italic ff 600.00 scf sf 1875 8250 m gs 1 -1 sc (v) col0 sh gr /Times-Italic ff 600.00 scf sf 5550 8250 m gs 1 -1 sc (w) col0 sh gr % here ends figure; F2psBegin10setmiterlimit0slj0slc0.648000.64800scF2psEnd rs showpage %%EndDocument @endspecial -303 2434 a Fr(Figure)46 b(5.)75 b Fq(Incremental)47 b(constr)r(uction)g(of)f(a)f(con)m(v)m(e)l(x)i(hull)f(of)g(r)o(a)l(ys)n (.)76 b(T)-15 b(o)45 b(add)i(a)-303 2582 y(ne)m(w)33 b(r)o(a)l(y)67 b Fo(~)-99 b Fn(vw)32 b Fq(\(upper)h(left\),)g(identify) h(the)e(cone)h(f)l(acets)h(visib)m(le)f(from)g Fn(w)f Fq(\(dar)r(k)m(ened)-303 2730 y(at)i(upper)g(r)r(ight\),)g(delete)h (them)f(\(lo)n(w)o(er)g(left\),)g(and)g(create)h(f)l(acets)f (connecting)69 b Fo(~)-99 b Fn(vw)-303 2878 y Fq(to)35 b(the)g(e)l(xposed)i(r)r(idges)e(\(lo)n(w)o(er)h(r)r(ight\).)-303 3360 y FB(Then)41 b Fy(v)h FB(is)g(in)f(the)g(interior)f(of)h(the)g (con)-6 b(v)n(e)n(x)41 b(hull,)g(and)h(cannot)f(be)h(a)g(v)n(erte)n(x) -303 3532 y(of)e Fy(H)7 b FB(.)-154 3733 y(The)33 b(beneath-be)n(yond)e (algorithm)g(can)h(use)h(the)f(same)i(topological)c(rep-)-303 3906 y(resentation)36 b(for)h(either)g(a)h(\()p Fy(d)e FA(+)e FB(1\)-dimensional)h(polyhedral)h(cone)e Fy(C)44 b FB(or)37 b(a)-303 4079 y Fy(d)t FB(-dimensional)32 b(polytope)37 b Fy(P)p FB(,)f(namely)e(a)h(\()p Fy(d)27 b Fk(\000)c FB(1\)-dimensional)33 b(triangula-)-303 4251 y(tion)d(that)g(represents)i(the)f(boundary)f(of)35 b Fy(P)p FB(.)44 b(This)32 b(triangulation,)d(called)j Fy(v)p FB(')-8 b(s)-303 4424 y Fy(link)32 b(triangulation)p FB(,)f(is)i(a)h(topological)d(entity)i(that)f(simultaneously)g(repre-) -303 4597 y(sents)k Fy(v)p FB(')-8 b(s)37 b(star)f(and)h(link,)f(the)g (cone)d Fy(C)7 b FB(,)37 b(and)g(the)f(cross-sectional)g(polytope)-299 4770 y Fy(P)p FB(.)-154 4970 y(This)29 b(algorithm)f(generalizes)h(to)g (computing)f(the)g(stars)i(of)f(the)g(edges,)i(2-)-303 5143 y(f)o(aces,)36 b(and)g(so)f(forth)f(of)h Fx(@)t Fy(H)7 b FB(.)45 b(The)36 b Fy(star)f FB(of)g(a)h(simple)n(x)41 b Fy(s)36 b FB(in)f(a)h(triangulation)-303 5316 y Fy(T)47 b FB(is)29 b(the)g(set)g(of)g(simplices)g(in)g 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b(can)h(be)g(computed)f(with)f(the)h (beneath-be)n(yond)-303 6698 y(algorithm.)44 b(Details)37 b(appear)h(in)e(the)h(full-length)e(v)n(ersion)h(of)h(this)f(paper)-8 b(.)-154 6899 y(Clarkson)30 b(and)h(Shor)f([5])h(sho)l(w)g(that)f(if)g (the)h(beneath-be)n(yond)f(algorithm)-303 7071 y(constructs)f(a)i(con) -6 b(v)n(e)n(x)30 b(hull)f(of)h Fy(n)g FB(v)n(ertices)h(in)i Fy(E)2147 7017 y Fl(d)2239 7071 y FB(by)d(inserting)f(v)n(ertices)h (one)-303 7244 y(by)40 b(one)h(according)f(to)g(a)i(random)e (permutation)f(\(dra)n(wn)h(from)h(a)g(uniform)-303 7417 y(distrib)m(ution\))i(and)k(using)f(a)h Fy(con\003ict)f(gr)n(aph)g FB(to)h(perform)f(point)g(location,)-303 7590 y(it)40 b(runs)h(in)f Fk(O)p FB(\()p Fy(n)507 7535 y Fj(b)p Fl(d)s Fm(=)p Ft(2)p Fj(c)772 7590 y FA(+)c Fy(n)24 b FB(log)g Fy(n)p FB(\))41 b(e)n(xpected)g(time.)59 b(Therefore,)42 b(it)f(computes)-303 7762 y(the)35 b(star)h(of)g(an)g Fy(i)p FB(-f)o(ace)g(of)g(a)h(simplicial)d(\()p Fy(d)f FA(+)c FB(1\)-dimensional)34 b(con)-6 b(v)n(e)n(x)35 b(hull)-303 7935 y(in)h Fk(O)p FB(\()p Fy(n)80 7881 y Fj(b)p Ft(\()p Fl(d)s Fj(\000)p Fl(i)p Ft(\))p Fm(=)p Ft(2)p Fj(c)499 7935 y FA(+)d Fy(n)25 b FB(log)f Fy(n)p FB(\))37 b(e)n(xpected)g(time.)-154 8136 y(All)53 b(these)h(ideas)g (adapt)g(easily)g(if)f(the)g(goal)h(is)f(to)h(compute)f(only)g(the)-303 8309 y Fy(under)o(side)42 b FB(of)47 b Fy(H)7 b FB(\227the)44 b(f)o(acets)f(of)48 b Fy(H)i FB(whose)43 b(outw)o(ard-directed)e (normals)-303 8481 y(ha)m(v)n(e)46 b(ne)n(g)o(ati)l(v)n(e)52 b Fy(x)636 8503 y Fl(d)s Fs(+)p Ft(1)811 8481 y FB(-coordinates.)72 b(F)n(or)45 b(e)n(xample,)k(the)c(beneath-be)n(yond)-303 8654 y(algorithm)38 b(can)k(incrementally)d(compute)h(just)g(the)g (underside)g(of)g(a)h(cone:)-303 8827 y(simply)49 b(discard)i(at)g (each)g(step)g(an)n(y)f(f)o(acet)h(not)f(on)g(the)h(underside)f(of)g (the)-303 9000 y(cone.)77 b(This)47 b(mak)o(es)h(it)f(possible)f(to)h (compute)g(a)h(Delaunay)f(or)g(weighted)-303 9172 y(Delaunay)e 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Fs(+)p Ft(1)3644 10410 y FB(,)-303 10582 y(where)50 b Fk(j)p Fy(w)p Fk(j)272 10528 y Ft(2)380 10582 y FB(is)h(the)f(inner)f(product)g(of)h Fy(w)h FB(with)e(itself.) 85 b(The)51 b(set)f(of)g(lifted)-303 10755 y(v)n(ertices)44 b(is)g Fy(V)67 b FA(=)55 b Fk(f)p Fy(w)805 10701 y Fs(+)931 10755 y FB(:)f Fy(w)h Fk(2)k Fy(N)9 b Fk(g)p FB(,)46 b(and)f(all)f(the)g(lifted)f(v)n(ertices)h(lie)g(on)g(the)4080 -137 y(paraboloid)58 b Fy(x)4845 -115 y Fl(d)s Fs(+)p Ft(1)5091 -137 y FA(=)77 b Fy(x)5329 -192 y Ft(2)5329 -91 y(1)5433 -137 y FA(+)52 b Fy(x)5646 -192 y Ft(2)5646 -91 y(2)5750 -137 y FA(+)45 b Fk(\001)26 b(\001)f(\001)45 b FA(+)52 b Fy(x)6310 -192 y Ft(2)6310 -91 y Fl(d)6371 -137 y FB(.)94 b(DT\()t Fy(N)9 b FB(\))52 b(is)h(combinatorially)4080 35 y(equi)l(v)l(alent)37 b(to)f(the)h(underside)g(of)f(the)h(con)-6 b(v)n(e)n(x)37 b(hull)f(of)h Fy(V)12 b FB(.)4230 245 y(F)n(or)51 b(an)n(y)g(triangulation)d Fy(T)70 b FB(whose)51 b(v)n(ertices)h(are)k Fy(N)9 b FB(,)55 b(de\002ne)d(the)f 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/Times-Italic ff 600.00 scf sf 7950 2175 m gs 1 -1 sc (C) col0 sh gr /Times-Italic ff 450.00 scf sf 8325 2325 m gs 1 -1 sc (w) col0 sh gr /Times-Italic ff 600.00 scf sf 300 7950 m gs 1 -1 sc (v) col0 sh gr /Times-Italic ff 600.00 scf sf 9600 7950 m gs 1 -1 sc (w) col0 sh gr /Times-Italic ff 480.00 scf sf 5775 7425 m gs 1 -1 sc (v) col0 sh gr /Times-Italic ff 480.00 scf sf 4275 7425 m gs 1 -1 sc (w) col0 sh gr % here ends figure; F2psBegin10setmiterlimit0slj0slc0.060000.06000scF2psEnd rs showpage %%EndDocument @endspecial 4080 6189 a Fr(Figure)41 b(8.)57 b Fq(The)40 b(consistency)h(algor)r(ithm)g(mak)m(es)f(the)h(stars)f(of)g Fn(v)f Fq(and)i Fn(w)e Fq(ag)o(ree)4080 6337 y(about)d(which)g(tr)r (iangles)g(adjoin)f(the)h(edge)f Fn(vw)p Fq(.)4454 6805 y FB(updated)e(cone)d Fy(C)5377 6827 y Fl(w)5485 6805 y FB(includes)j(con)-6 b(v\()22 b Fy(f)41 b Fk([)20 b Fy(g)g Fk([)g(f)p Fy(w)p Fk(g)p FB(\),)35 b(so)f(the)f(ray)73 b Fx(~)-112 b Fy(wv)34 b FB(no)4454 6978 y(longer)h(lies)g(on)h(the)g (boundary)e(of)i(the)g(cone,)g(and)g Fy(v)h FB(is)f(no)f(longer)g(in) 4454 7151 y Fy(w)p FB(')-8 b(s)37 b(link)e(triangulation.)4454 7377 y(If)41 b(the)g(goal)f(is)h(to)g(construct)f(only)g(the)h (underside)f(of)45 b Fy(H)7 b FB(,)42 b(choose)j Fy(L)4454 7550 y FB(to)e(be)i(v)n(ertical.)66 b(The)45 b(f)o(acet)f(directly)f (belo)l(w)h Fy(vw)g FB(su)p FA(\016)p FB(ces)h(to)e(pro)n(v)n(e)4454 7723 y(that)k Fy(vw)i FB(is)f(not)f(part)h(of)g(the)g(lo)l(wer)g (boundary)f(of)52 b Fy(H)7 b FB(.)79 b(No)48 b(second)4454 7895 y(f)o(acet)37 b(is)g(needed.)4305 8175 y Fk(\017)75 b Fz(Reconciling)44 b(con\003icting)g(edge)i(stars.)70 b FB(The)45 b(second)g(possibility)4454 8348 y(is)k(that)f Fy(vw)h FB(appears)g(in)g(the)f(stars)h(of)g(both)f Fy(v)h FB(and)g Fy(w)p FB(,)j(b)m(ut)c(the)h(tw)o(o)4454 8521 y(stars)37 b(disagree)g(about)g(what)g(simplices)g(include)f(the)h (edge)g Fy(vw)p FB(.)4454 8747 y(Say)46 b(that)f(the)h(star)g(of)f(the) h Fy(or)-6 b(der)g(ed)47 b(edg)o(e)e(vw)h 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Fy(v)p FB(')-8 b(s)37 b(link)f(triangulation.)4454 10410 y(After)50 b(these)h(operations,)i (either)e(the)f(ordered)g(edges)i Fy(vw)f FB(and)f Fy(wv)4454 10582 y FB(ha)m(v)n(e)i(the)g(same)i(star)-6 b(,)57 b(or)52 b(the)g(edge)g Fy(vw)h FB(is)f(no)l(w)g(absent)h(from)f(the)4454 10755 y(stars)37 b(of)g(both)f Fy(v)i FB(and)f Fy(w)p FB(.)p eop end %%Page: 6 6 TeXDict begin 6 5 bop -154 -137 a FB(Occasionally)-10 b(,)67 b(a)62 b(consistenc)n(y)e(enforcement)h(step)g(might)f (eliminate)-303 35 y(the)45 b(star)g(of)f Fy(v)i FB(or)f Fy(w)g FB(\(or)f(both\))g(altogether)-8 b(.)69 b(F)n(or)44 b(e)n(xample,)k(consider)c(rec-)-303 208 y(onciling)j(an)j(asymmetric)g (edge.)84 b(If)50 b Fy(w)f FB(is)h(be)n(yond)e(all)h(the)h(f)o(acets)f (of)h Fy(v)p FB(')-8 b(s)-303 381 y(cone)50 b Fy(C)133 403 y Fl(v)185 381 y FB(,)59 b(then)54 b(con)-6 b(v\()l Fy(C)1028 403 y Fl(v)1125 381 y Fk([)85 b Fx(~)-112 b Fy(vw)p FB(\))73 b FA(=)k Fy(E)1828 327 y Fl(d)s Fs(+)p Ft(1)2002 381 y FB(,)59 b(which)54 b(implies)f(that)h Fy(v)g FB(is)g(in)-303 554 y(the)e(interior)f(of)56 b Fy(H)7 b FB(.)92 b(The)53 b(star)g(splaying)e(algorithm)g(maintains)h (a)h Fy(death)-303 727 y(certi\002cate)44 b FB(for)f Fy(v)p FB(:)60 b(a)45 b(proof)e(that)g Fy(v)i FB(is)f(an)g(interior)e (point.)66 b(The)44 b(death)g(cer)m(-)-303 899 y(ti\002cate)c (comprises)g(the)g(v)n(ertices)g(of)f(the)h(tw)o(o)f(f)o(acets)i(of)35 b Fy(C)2818 921 y Fl(v)2911 899 y FB(that)k(intersect)-303 1072 y(an)e(arbitrary)f(plane)h(through)74 b Fx(~)-112 b Fy(vw)38 b FB(\(at)f(points)f(other)g(than)h Fy(v)p FB(\),)h(plus)e Fy(w)h FB(itself.)-303 1245 y(\(Imagine)31 b(Figure)f(7,)j(upper)e(left,)h(with)e Fy(w)h FB(mo)n(v)n(ed)g(to)g (the)g(left)g(of)g(the)g(cone')-8 b(s)-303 1418 y(tip.)54 b(If)40 b(the)g(goal)f(is)h(to)g(construct)f(only)g(the)h(underside)f (of)44 b Fy(H)7 b FB(,)40 b(use)h(just)e(the)-303 1590 y(lo)l(wer)c(f)o(acet)h(of)31 b Fy(C)654 1612 y Fl(v)742 1590 y FB(that)k(intersects)h(a)g Fy(vertical)f FB(plane)h(through)72 b Fx(~)-112 b Fy(vw)q FB(,)36 b(plus)f Fy(w)-303 1763 y FB(itself.\))57 b(The)42 b(consistenc)n(y)e(algorithm)f(passes)k Fy(v)p FB(')-8 b(s)41 b(death)g(certi\002cate)h(back)-303 1936 y(to)g Fy(w)p FB(,)k(and)d(also)g(stores)g(the)g(death)h (certi\002cate)f(so)h(it)e(can)i(be)g(used)f(later)g(to)-303 2109 y(reconcile)37 b(an)n(y)g(other)f(v)n(erte)n(x)g(that)h(thinks)f (that)g Fy(v)i FB(is)f(in)g(its)f(link.)-154 2315 y(The)45 b(consistenc)n(y)e(enforcement)i(steps)f(can)h(be)f(applied)g(in)f(an)n (y)h(order)-8 b(.)-303 2488 y(Some)37 b(w)o(ays)f(of)g(ordering)e(the)j (steps)f(are)h(more)g(e)p FA(\016)p FB(cient)e(than)h(others;)g(see) -303 2661 y(Sections)g(4.2)i(and)f(4.5)g(for)g(suggestions.)-303 3025 y Fp(4.2)165 b(F)-7 b(inding)42 b(Inconsistencies)-303 3298 y FB(The)51 b(consistenc)n(y)e(enforcement)h(algorithm)f(needs)i (an)g(e)p FA(\016)p FB(cient)e(w)o(ay)h(to)-303 3470 y(\002nd)f(inconsistencies)f(between)h(stars.)83 b(It)48 b(is)h(ine)n(xpensi)l(v)n(e)f(to)h(determine)-303 3643 y(whether)29 b(an)i(edge)g(appears)g(in)e(the)h(star)h(of)f(only)f(one) h(of)g(its)g(tw)o(o)f(endpoints.)-303 3816 y(Ho)l(we)l(v)n(er)-6 b(,)37 b(checking)f(whether)g(tw)o(o)g(ordered)g(edges)h Fy(vw)g FB(and)g Fy(wv)f FB(ha)m(v)n(e)h(the)-303 3989 y(same)59 b(star)f(can)g(be)g(e)n(xpensi)l(v)n(e,)63 b(because)c(a)g(single)e(edge)h(might)f(adjoin)-303 4162 y FA(\002)p FB(\()p Fy(n)-70 4107 y Fj(d)p Fl(d)s Fm(=)p Ft(2)p Fj(e\000)p Ft(1)271 4162 y FB(\))32 b(f)o(acets)h(of)f(the)g (con)-6 b(v)n(e)n(x)31 b(hull.)44 b(It)32 b(is)g(better)g(to)g(a)m(v)m (oid)f(performing)-303 4334 y(this)36 b(check)i(directly)-10 b(.)-154 4541 y(One)56 b(w)o(ay)f(to)g(dri)l(v)n(e)g(star)h(splaying)e (e)p FA(\016)p FB(ciently)h(is)h(to)f(maintain)g(a)h(list)-303 4713 y(of)45 b(f)o(acets)i(whose)f(consistenc)n(y)f(is)h(in)f(doubt.)72 b(Each)47 b(record)f(in)f(the)h(list)f(is)-303 4886 y(a)56 b(triple)e Fk(h)22 b Fy(f)14 b Fx(;)25 b Fy(v)p Fx(;)g Fy(w)p Fk(i)56 b FB(consisting)d(of)i(a)h(f)o(acet)78 b Fy(f)f FB(and)55 b(tw)o(o)g(of)g(its)f(v)n(ertices)h Fy(v)-303 5059 y FB(and)g Fy(w)p FB(,)61 b(such)56 b(that)77 b Fy(f)g FB(w)o(as)56 b(in)f Fy(w)p FB(')-8 b(s)56 b(star)f(when)h(the) f(triple)g(w)o(as)g(enlisted.)-303 5232 y(After)48 b(constructing)f (the)i(con)-6 b(v)n(e)n(x)49 b(cones)g(of)g(the)g(starting)f(sets,)53 b(initialize)-303 5404 y(the)35 b(f)o(acet)g(list:)44 b(for)35 b(each)i(v)n(erte)n(x)d Fy(w)41 b Fk(2)h Fy(V)12 b FB(,)36 b(for)f(each)h(f)o(acet)58 b Fy(f)f FB(in)35 b Fy(w)p FB(')-8 b(s)35 b(star)-6 b(,)36 b(for)-303 5577 y(each)i(v)n(erte)n(x)e Fy(v)42 b Fh(,)g Fy(w)37 b FB(of)58 b Fy(f)22 b FB(,)38 b(place)g Fk(h)22 b Fy(f)14 b Fx(;)25 b Fy(v)p Fx(;)g Fy(w)p Fk(i)38 b FB(in)e(the)h(f)o(acet)g(list.)-154 5783 y(The)55 b(consistenc)n(y)e(algorithm)f(is)i(a)h(loop)e(that)g (repeats)h(the)g(follo)l(wing)-303 5956 y(operations)40 b(until)f(the)i(f)o(acet)h(list)e(is)h(empty)-10 b(.)59 b(Remo)n(v)n(e)41 b(one)g(triple)f Fk(h)22 b Fy(f)14 b Fx(;)25 b Fy(v)p Fx(;)h Fy(w)p Fk(i)-303 6129 y FB(from)33 b(the)g(list.)44 b(If)55 b Fy(f)h FB(is)33 b(in)g(both)f Fy(v)p FB(')-8 b(s)34 b(star)f(and)g Fy(w)p FB(')-8 b(s)33 b(star)-6 b(,)35 b(or)e(if)55 b Fy(f)g FB(is)33 b(in)g(neither)-6 b(,)-303 6302 y(discard)57 b(the)f(triple)g(and)h(mo)n(v)n(e)g(on)g(to) f(the)h(ne)n(xt)g(iteration.)104 b(Otherwise,)-303 6475 y(perform)32 b(the)g(appropriate)f(consistenc)n(y)h(enforcement)g (steps)h(for)e(the)i(edge)-303 6647 y Fy(vw)39 b FB(until)f Fy(v)i FB(and)g Fy(w)f FB(agree)h(about)f(whether)g(or)g(not)61 b Fy(f)g FB(e)n(xists.)53 b(Observ)n(e)40 b(that)-303 6820 y(the)46 b(test)g(tak)o(es)h Fk(O)p FB(\(1\))f(time)g(if)g(no)h (action)f(is)g(tak)o(en,)j(which)d(is)g(wh)o(y)h(f)o(acets)-303 6993 y(dri)l(v)n(e)36 b(the)h(consistenc)n(y)f(algorithm.)-154 7199 y(When)43 b(the)h(consistenc)n(y)e(enforcement)h(algorithm)f (inserts)h(a)h(v)n(erte)n(x)e Fy(w)-303 7372 y FB(into)33 b(the)i(link)f(of)g(a)i(v)n(erte)n(x)e Fy(v)p 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b(a)h(high-quality)c(Delaunay)i(con\002guration,)i (it)f(is)g(lik)o(ely)e(that)h(e)l(v)n(ery)4080 10755 y Fx(\021)4154 10777 y Fl(v)4248 10755 y Fk(2)d(O)p FB(\(1\).)p eop end %%Page: 7 7 TeXDict begin 7 6 bop -154 -137 a FB(Let)59 b Fy(n)f FB(be)g(the)g(number)g(of)g(v)n(ertices)g(in)f Fy(V)12 b FB(,)64 b(and)58 b(let)g Fy(d)k FB(represent)c(the)-303 35 y(dimension,)50 b(where)e(star)h(splaying)d(is)i(computing)f(either) h(a)h(con)-6 b(v)n(e)n(x)47 b(hull)-303 208 y(in)i Fy(E)-39 154 y Fl(d)s Fs(+)p Ft(1)136 208 y FB(,)g(or)c(a)i(Delaunay)f(or)g (weighted)f(Delaunay)h(triangulation)e(in)49 b Fy(E)3583 154 y Fl(d)3644 208 y FB(.)-303 381 y(Assume)36 b(that)f(a)i (dictionary-based)d(data)i(structure)f(permits)g(looking)f(up)h(a)-303 554 y(simple)n(x)h(in)h Fk(O)p FB(\(1\))g(time,)g(and)g(looking)e(up)i (the)g(simplices)g(that)g(adjoin)f(it)g(in)-303 727 y(time)45 b(linear)g(in)f(their)h(number)-8 b(.)70 b(\(The)46 b(full-length)c(v)n (ersion)i(of)h(this)g(paper)-303 899 y(gi)l(v)n(es)36 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