BEGINCAD DIMENSION 3 INPUTVARIABLES (X,Y,Z) MINPOLYVARIABLE (U) FIELDELEMENTVARIABLE (U) INPUTPOLYNOMIALS ( Z**3 - X Z + Y $ ) BASIS ( Z**3 - X Z + Y $ ) CONTENTS ( ) PROJECTION ( - 36 X $ , 1 $ , 27 Y**2 - 4 X**3 $ , - 6 X $ ) CELLS BEGINCELL INDEX (1,1,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (- 1 ) (0) (- 2 ) ) DEFININGFORMULA ( ( ( X < 0 ) & ( 0= 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) $ ENDCELL BEGINCELL INDEX (1,1,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (- 1 ) (0) (0) ) DEFININGFORMULA ( ( ( X < 0 ) & ( 0= 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) $ ENDCELL BEGINCELL INDEX (1,1,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (- 1 ) (0) ( 3 ) ) DEFININGFORMULA ( ( ( X < 0 ) & ( 0= 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) $ ENDCELL BEGINCELL INDEX (2,1,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (- 1 ) (0) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y < 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) $ ENDCELL BEGINCELL INDEX (2,1,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (- 1 ) ( 1 ) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y < 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) $ ENDCELL BEGINCELL INDEX (2,1,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (- 1 ) ( 5 ) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y < 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) $ ENDCELL BEGINCELL INDEX (2,2,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (0) (- 1 ) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y = 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) $ ENDCELL BEGINCELL INDEX (2,2,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (0) (0) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y = 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) $ ENDCELL BEGINCELL INDEX (2,2,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (0) ( 2 ) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y = 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) $ ENDCELL BEGINCELL INDEX (2,3,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) ( 2 ) (- 2 ) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y > 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) $ ENDCELL BEGINCELL INDEX (2,3,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U**3 + 2 $ , (-3/2 , -1) POINT ( (0) ( 2 ) ( U ) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y > 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) $ ENDCELL BEGINCELL INDEX (2,3,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) ( 2 ) (0) ) DEFININGFORMULA ( ( ( X = 0 ) & ( Y > 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) $ ENDCELL BEGINCELL INDEX (3,1,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (- 1/2 ) ( 1 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) & ( Z**3 - X Z + Y < 0 ) ) $ ENDCELL BEGINCELL INDEX (3,1,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 2 U**3 - 2 U - 1 $ , (1 , 3/2) POINT ( ( 1 ) (- 1/2 ) ( U ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) & ( Z**3 - X Z + Y = 0 ) ) $ ENDCELL BEGINCELL INDEX (3,1,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (- 1/2 ) ( 3 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) & ( Z**3 - X Z + Y > 0 ) ) $ ENDCELL BEGINCELL INDEX (3,2,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (-1/2 , -3/8) POINT ( ( 1 ) ( U ) (- 2 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( Z < 0 ) & ( 3 Z**2 - X > 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,2,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (-1/2 , -3/8) POINT ( ( 1 ) ( U ) ( 3/2 U ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( Z < 0 ) & ( 3 Z**2 - X = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,2,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (-1/2 , -3/8) POINT ( ( 1 ) ( U ) ( 1 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( ( ( Z < 0 ) & ( 3 Z**2 - X < 0 ) ) | ( Z = 0 ) | ( ( Z > 0 ) & ( 3 Z**2 - X < 0 ) ) ) | ( ( Z > 0 ) & ( 3 Z**2 - X = 0 ) ) | ( ( ( Z > 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) ) ) $ ENDCELL BEGINCELL INDEX (3,2,4) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (-1/2 , -3/8) POINT ( ( 1 ) ( U ) (- 3 U ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( ( Z > 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,2,5) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (-1/2 , -3/8) POINT ( ( 1 ) ( U ) ( 3 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( ( Z > 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,3,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) (- 4 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) & ( ( ( Z < 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,3,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) (- 1 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) & ( ( ( Z < 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,3,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) (- 1/2 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) & ( ( ( ( Z < 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) | ( ( Z < 0 ) & ( 3 Z**2 - X = 0 ) ) | ( ( ( ( Z < 0 ) & ( 3 Z**2 - X < 0 ) ) | ( Z = 0 ) | ( ( Z > 0 ) & ( 3 Z**2 - X < 0 ) ) ) & ( Z**3 - X Z + Y > 0 ) ) ) ) $ ENDCELL BEGINCELL INDEX (3,3,4) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) (0) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) & ( ( ( ( Z < 0 ) & ( 3 Z**2 - X < 0 ) ) | ( Z = 0 ) | ( ( Z > 0 ) & ( 3 Z**2 - X < 0 ) ) ) & ( Z**3 - X Z + Y = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,3,5) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) ( 3/4 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) & ( ( ( ( ( Z < 0 ) & ( 3 Z**2 - X < 0 ) ) | ( Z = 0 ) | ( ( Z > 0 ) & ( 3 Z**2 - X < 0 ) ) ) & ( Z**3 - X Z + Y < 0 ) ) | ( ( Z > 0 ) & ( 3 Z**2 - X = 0 ) ) | ( ( ( Z > 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) ) ) $ ENDCELL BEGINCELL INDEX (3,3,6) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) ( 1 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) & ( ( ( Z > 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,3,7) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) ( 2 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) & ( ( ( Z > 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,4,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (0 , 1) POINT ( ( 1 ) ( U ) (- 2 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( ( Z < 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y < 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,4,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (0 , 1) POINT ( ( 1 ) ( U ) (- 3 U ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( ( Z < 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,4,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (0 , 1) POINT ( ( 1 ) ( U ) (0) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( ( ( Z < 0 ) & ( 3 Z**2 - X > 0 ) ) & ( Z**3 - X Z + Y > 0 ) ) | ( ( Z < 0 ) & ( 3 Z**2 - X = 0 ) ) | ( ( ( Z < 0 ) & ( 3 Z**2 - X < 0 ) ) | ( Z = 0 ) | ( ( Z > 0 ) & ( 3 Z**2 - X < 0 ) ) ) ) ) $ ENDCELL BEGINCELL INDEX (3,4,4) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (0 , 1) POINT ( ( 1 ) ( U ) ( 3/2 U ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( Z > 0 ) & ( 3 Z**2 - X = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,4,5) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (0 , 1) POINT ( ( 1 ) ( U ) ( 3 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) & ( ( Z > 0 ) & ( 3 Z**2 - X > 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,5,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) ( 3 ) (- 4 ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) & ( Z**3 - X Z + Y < 0 ) ) $ ENDCELL BEGINCELL INDEX (3,5,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U**3 - U + 3 $ , (-2 , -1) POINT ( ( 1 ) ( 3 ) ( U ) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) & ( Z**3 - X Z + Y = 0 ) ) $ ENDCELL BEGINCELL INDEX (3,5,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) ( 3 ) (0) ) DEFININGFORMULA ( ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) & ( Z**3 - X Z + Y > 0 ) ) $ ENDCELL INDUCEDCAD BEGINCAD DIMENSION 2 INPUTVARIABLES (X,Y) MINPOLYVARIABLE (U) FIELDELEMENTVARIABLE (U) INPUTPOLYNOMIALS ( - 36 X $ , 1 $ , 27 Y**2 - 4 X**3 $ , - 6 X $ ) BASIS ( 27 Y**2 - 4 X**3 $ ) CONTENTS ( 36 X $ , 6 X $ ) PROJECTION ( 27 $ , 432 X**3 $ ) CELLS BEGINCELL INDEX (1,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (- 1 ) (0) ) DEFININGFORMULA ( ( X < 0 ) & ( 0= 0 ) ) $ ENDCELL BEGINCELL INDEX (2,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (- 1 ) ) DEFININGFORMULA ( ( X = 0 ) & ( Y < 0 ) ) $ ENDCELL BEGINCELL INDEX (2,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) (0) ) DEFININGFORMULA ( ( X = 0 ) & ( Y = 0 ) ) $ ENDCELL BEGINCELL INDEX (2,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) ( 2 ) ) DEFININGFORMULA ( ( X = 0 ) & ( Y > 0 ) ) $ ENDCELL BEGINCELL INDEX (3,1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (- 1/2 ) ) DEFININGFORMULA ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (-1/2 , -3/8) POINT ( ( 1 ) ( U ) ) DEFININGFORMULA ( ( X > 0 ) & ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) (0) ) DEFININGFORMULA ( ( X > 0 ) & ( ( ( Y < 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) | ( Y = 0 ) | ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 < 0 ) ) ) ) $ ENDCELL BEGINCELL INDEX (3,4) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT 27 U**2 - 4 $ , (0 , 1) POINT ( ( 1 ) ( U ) ) DEFININGFORMULA ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 = 0 ) ) ) $ ENDCELL BEGINCELL INDEX (3,5) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) ( 3 ) ) DEFININGFORMULA ( ( X > 0 ) & ( ( Y > 0 ) & ( 27 Y**2 - 4 X**3 > 0 ) ) ) $ ENDCELL INDUCEDCAD BEGINCAD DIMENSION 1 INPUTVARIABLES (X) MINPOLYVARIABLE (U) FIELDELEMENTVARIABLE (U) INPUTPOLYNOMIALS ( 36 X $ , 6 X $ , 27 $ , 432 X**3 $ ) BASIS ( X $ ) CONTENTS ( ) PROJECTION ( ) CELLS BEGINCELL INDEX (1) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (- 1 ) ) DEFININGFORMULA ( X < 0 ) $ ENDCELL BEGINCELL INDEX (2) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( (0) ) DEFININGFORMULA ( X = 0 ) $ ENDCELL BEGINCELL INDEX (3) SAMPLEPOINT PRIMITIVESAMPLEPOINT PRIMITIVEELEMENT U $ , (0 , 0) POINT ( ( 1 ) ) DEFININGFORMULA ( X > 0 ) $ ENDCELL ENDCAD ENDCAD ENDCAD