ARTIFICIAL TOOTH

• US 20100119992A1
• Filed: 04/18/2007
• Published: 05/13/2010
• Est. Priority Date: 04/18/2007
• Status: Active Grant

• Current Assignee: Kabushiki Kaisha Shofu
• Original Assignee: Kabushiki Kaisha Shofu
• Inventors: Negoro, Noriyuki, Fujii, Kunihiro, Satoh, Hirokazu
• Granted Patent: US 8,403,669 B2
• Time in Patent Office: Days
• US Class Current: 433/167
• CPC Class Codes: A61C 13/097 characterised by occlusal profiles , i.e. chewing contact surfaces
• CPC Class Codes: A61C 5/70 Tooth crowns; Making thereof

Abstract

The present invention provides artificial teeth of upper and lower jaws pairing between the cusp tips and pits, allowing to operate the arrangement easily by clarifying the three-dimensional positional relation of cusp tips and pits to contact with each other in occlusion and the contact region. In an artificial tooth of a mandibular first premolar tooth having a buccal cusp tip, a lingual cusp tip, a mesial pit, and a distal pit, the azimuth originating from the distal pit, the ratio of distance to the mesial surface, distal surface, buccal surface, and the lingual surface, and the positional relation of the cusp tips and pits are set appropriately. Further, in an artificial tooth of a maxillary first premolar tooth having a buccal cusp tip, a lingual cuts point, a mesial pit, and a distal pit, the azimuth originating from the lingual cusp tip, the ratio of distance to the mesial surface, distal surface, buccal surface, and the lingual surface, and the positional relation of the cusp tips and pits are set appropriately. The distal pit of the artificial tooth of the mandibular first premolar tooth is made to contact with the lingual cusp tip of the artificial tooth of the maxillary first premolar tooth, and the buccal cusp tip of the artificial tooth of the mandibular first premolar tooth is made to contact with the mesial pit of the artificial tooth of the maxillary first premolar tooth.

Claims

1. An artificial tooth of a right side or left side mandibular first premolar tooth having a buccal cusp tip, a lingual cusp tip, a mesial pit, and a distal pit, being an artificial tooth of a right side or symmetric left side mandibular first premolar tooth, wherein:

a) in an example of the right side, in a case of supposing the distal pit to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 29;

71 and a point for dividing the line segment connecting between the buccal cusp tip and the lingual cusp tip by 47;

53 is parallel to the Z-axis, that the line segment connecting between the mesial pit and the distal pit is parallel to the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is satisfied in the relation of X-coordinate value of mesial pit<

X-coordinate value of distal pit,

b) the ratio of the distance of X-axis from the distal pit to minimum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from the distal pit to maximum position of X-coordinate value of the distal surface of the tooth is 75;

25 to 85;

15,

c) the ratio of the distance of Y-axis from the distal pit to maximum position of Y-coordinate value of the buccal surface of the tooth, and the distance of Y-axis from the distal pit to maximum position of Y-coordinate value of the lingual surface of the tooth is 49;

51 to 59;

41,

d) the distance of the line segment connecting between the mesial pit and the distal pit is 42 to 52% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the buccal cusp tip is 84 to 94% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the lingual cusp tip is 66 to 76% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the buccal cusp tip is 110 to 120% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the lingual cusp tip is 83 to 93% of the distance of the line segment connecting between the mesial pit and the distal pit, and

g) the distance of the line segment connecting between the buccal cusp tip and the lingual cusp tip is 88 to 98% of the distance of the line segment connecting between the mesial pit and the distal pit.

17. A set of artificial teeth of right side or symmetric left side artificial teeth of mandibular posterior teeth, comprising:

the artificial tooth of the mandibular first premolar tooth of claim 1,

the artificial tooth of the mandibular second premolar tooth of claim 5,

the artificial tooth of the mandibular first molar tooth of claim 9, and

the artificial tooth of the mandibular second molar tooth of claim 13,

wherein the maximum width of the artificial tooth of said mandibular second premolar tooth is 102 to 112% of the maximum width of the artificial tooth of said mandibular first premolar tooth,

the maximum width of the artificial tooth of said mandibular first molar tooth is 144 to 154% of said maximum width of the artificial tooth of the mandibular first premolar tooth,

the maximum width of the artificial tooth of said mandibular second molar tooth is 125 to 135% of the maximum width of the artificial tooth of said mandibular first premolar tooth, and

the sum of the maximum widths of said four teeth is 28.0 mm to 38 mm.

19. A set of artificial teeth of right side or symmetric left side artificial teeth, comprising:

the set of artificial teeth of the mandibular molar teeth of claim 17, and

the set of artificial teeth of the maxillary molar teeth of claim 18,

wherein the sum of the maximum widths of the set of artificial teeth of said maxillary molar teeth is 92 to 102% of the sum of the maximum widths of the set of artificial teeth of said mandibular molar teeth.

2. An artificial tooth of a right side or left side maxillary first premolar tooth having a buccal cusp tip, a lingual cusp tip, a mesial pit, and a distal pit, being an artificial tooth of a right side or symmetric left side maxillary first premolar tooth, wherein:

a) in an example of the right side, in a case of supposing the lingual cusp tip to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 47;

53 and a point for dividing the line segment connecting between the buccal cusp tip and the lingual cusp tip by 55;

45 is parallel to the Z-axis, that the segment connecting between the mesial pit and the distal pit is parallel to the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is satisfied in the relation of X-coordinate value of mesial pit>

X-coordinate value of distal pit,

b) the ratio of the distance of X-axis from the lingual cusp tip to maximum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from the lingual cusp tip to minimum position of X-coordinate value of the distal surface of the tooth is 37;

63 to 47;

53,

c) the ratio of the distance of Y-axis from the lingual cusp tip to maximum position of Y-coordinate value of the lingual surface of the tooth, and the distance of Y-axis from the lingual cusp tip to minimum position of Y-coordinate value of the buccal surface of the tooth is 79;

21 to 89;

11,

d) the distance of the line segment connecting between the mesial pit and the distal pit is 36 to 46% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the buccal cusp tip is 147 to 157% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the lingual cusp tip is 98 to 108% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the buccal cusp tip is 134 to 144% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the lingual cusp tip is 119 to 129% of the distance of the line segment connecting between the mesial pit and the distal pit, and

g) the distance of the line segment connecting between the buccal cusp tip and the lingual cusp tip is 185 to 195% of the distance of the line segment connecting between the mesial pit and the distal pit.

3. A set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular first premolar tooth and a maxillary first premolar tooth, comprising:

an artificial tooth of a mandibular first premolar tooth, and

an artificial tooth of a maxillary first premolar tooth,

wherein in the occlusal surface within 1.50 mm in radius from the distal pit of the artificial tooth of said mandibular first premolar tooth, there is at least one contact point with the occlusal surface within 1.50 mm in radius from the lingual cusp tip of the artificial tooth of said maxillary first premolar tooth.

4. The set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular first premolar tooth and a maxillary first premolar tooth according to claim 3, wherein in the buccal cusp tip outer bevel within 1.50 mm in radius from the buccal cusp tip of the artificial tooth of said mandibular first premolar tooth, there is at least one contact point with the buccal inner bevel of the occlusal surface within 1.50 mm in radius from the mesial pit of said artificial tooth of the maxillary first premolar tooth.

5. An artificial tooth of a right side or left side mandibular second premolar tooth having a buccal cusp tip, a lingual cusp tip, a mesial pit, and a distal pit, being an artificial tooth of a right side or symmetric left side mandibular second premolar tooth, wherein:

a) in an example of the right side, in a case of supposing the distal pit to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 21;

79 and a point for dividing the line segment connecting between the buccal cusp tip and the lingual cusp tip by 40;

60 is parallel to the Z-axis, that the line segment connecting between the mesial pit and the distal pit is parallel to the XZ plane of the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is determined in the relation of X-coordinate value of mesial pit<

X-coordinate value of distal pit.

b) the ratio of the distance of X-axis from the distal pit to minimum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from the distal pit to maximum position of X-coordinate value of the distal surface of the tooth is 66;

34 to 76;

24,

c) the ratio of the distance of Y-axis from the distal pit to maximum position of Y-coordinate value of the buccal surface of the tooth, and the distance of Y-axis from the distal pit to maximum position of Y-coordinate value of the lingual surface of the tooth is 51;

49 to 61;

39,

d) the distance of the line segment connecting between the mesial pit and the distal pit is 56 to 66% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the buccal cusp tip is 79 to 89% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the lingual cusp tip is 88 to 98% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the buccal cusp tip is 97 to 107% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the lingual cusp tip is 127 to 137% of the distance of the line segment connecting between the mesial pit and the distal pit, and

g) the distance of the line segment connecting between the buccal cusp tip and the lingual cusp tip is 126 to 136% of the distance of the line segment connecting between the mesial pit and the distal pit.

6. An artificial tooth of a right side or left side maxillary second premolar tooth having a buccal cusp tip, a lingual cusp tip, a mesial pit, and a distal pit, being an artificial tooth of a right side or symmetric left side maxillary second premolar tooth, wherein:

a) in an example of the right side, in a case of supposing the lingual cusp tip to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 54;

46 and a point for dividing the line segment connecting between the buccal cusp tip and the lingual cusp tip by 53;

47 is parallel to the Z-axis of the system of XYZ orthogonal coordinates, that the segment connecting between the distal pit and the mesial pit is parallel to the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is satisfied in the relation of X-coordinate value of mesial pit>

X-coordinate value of distal pit,

b) the ratio of the distance of X-axis from the lingual cusp tip to maximum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from the lingual cusp tip to minimum position of X-coordinate value of the distal surface of the tooth is 42;

68 to 52;

58,

c) the ratio of the distance of Y-axis from the lingual cusp tip to maximum position of Y-coordinate value of the buccal surface of the tooth, and the distance of Y-axis from the lingual cusp tip to minimum position of Y-coordinate value of the lingual surface of the tooth is 79;

21 to 89;

11,

d) the distance of the line segment connecting between the mesial pit and the distal pit is 40 to 50% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the buccal cusp tip is 150 to 160% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the lingual cusp tip is 117 to 127% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the buccal cusp tip is 142 to 132% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the lingual cusp tip is 128 to 138% of the distance of the line segment connecting between the mesial pit and the distal pit, and

g) the distance of the line segment connecting between the buccal cusp tip and the lingual cusp tip is 204 to 214% of the distance of the line segment connecting between the mesial pit and the distal pit.

7. A set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular second premolar tooth and a maxillary second premolar tooth, comprising:

an artificial tooth of a mandibular second premolar tooth, and

an artificial tooth of a maxillary second premolar tooth,

wherein in the occlusal surface within 1.50 mm in radius from the distal pit of the artificial tooth of said mandibular second premolar tooth, there is at least one contact point with the occlusal surface within 1.50 mm in radius from the lingual cusp tip of the artificial tooth of said maxillary second premolar tooth.

8. The set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular second premolar tooth and a maxillary second premolar tooth according to claim 7, wherein in the occlusal surface within 1.50 mm in radius from the buccal cusp tip of the artificial tooth of said mandibular second premolar tooth, there is at least one contact point with the occlusal surface within 1.50 mm in radius from the mesial pit of the artificial tooth of said maxillary second premolar tooth.

9. An artificial tooth of a right side or left side mandibular first molar tooth having a mesial buccal cusp tip, a distal buccal cusp tip, a mesial lingual cusp tip, a distal lingual cusp tip, a mesial pit, a distal pit, and a central fossa, being an artificial tooth of a right side or symmetric left side mandibular first molar tooth, wherein:

a) in an example of the right side, in a case of supposing the central fossa to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 49;

51 and a point for dividing the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip by 54;

46 is parallel to the Z-axis, that the line segment connecting between the distal pit and the mesial pit is parallel to the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is satisfied in the relation of X-coordinate value of mesial pit<

X-coordinate value of distal pit,

b) the ratio of the distance of X-axis from central fossa to minimum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from distal pit to maximum position of X-coordinate value of the distal surface of the tooth is 45;

65 to 55;

45,

c) the ratio of the distance of Y-axis from the central fossa to maximum position of Y-coordinate value of the buccal surface of the tooth, and the distance of Y-axis from the central fossa to minimum position of Y-coordinate value of the lingual surface of the tooth is 61;

39 to 71;

29,

d) the distance of the line segment connecting between the mesial pit and the distal pit is 57 to 67% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the central fossa is 49 to 59% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the mesial buccal cusp tip is 46 to 56% of the distance of the line segment connecting between the mesial pit and the distal pit,

e3) the distance of the line segment connecting between the mesial pit and the distal buccal cusp tip is 70 to 80% of the distance of the line segment connecting between the mesial pit and the distal pit,

e4) the distance of the line segment connecting between the mesial pit and the mesial lingual cusp tip is 37 to 47% of the distance of the line segment connecting between the mesial pit and the distal pit,

e5) the distance of the line segment connecting between the mesial pit and the distal lingual cusp tip is 90 to 100% of the distance of the line segment connecting between the mesial pit and the distal pit,

e6) the distance of the line segment connecting between the mesial pit and the distal cusp tip is 119 to 129% of the distance of the line segment connecting between the mesial pit and the distal pit,

e7) the distance of the line segment connecting between the distal pit and the central fossa is 42 to 52% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the mesial buccal cusp tip is 103 to 113% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the distal buccal cusp tip is 66 to 76% of the distance of the line segment connecting between the mesial pit and the distal pit,

f3) the distance of the line segment connecting between the distal pit and the mesial lingual cusp tip is 88 to 98% of the distance of the line segment connecting between the mesial pit and the distal pit,

f4) the distance of the line segment connecting between the distal pit and the distal lingual cusp tip is 42 to 52% of the distance of the line segment connecting between the mesial pit and the distal pit,

f5) the distance of the line segment connecting between the distal pit and the distal cusp tip is 41 to 51% of the distance of the line segment connecting between the mesial pit and the distal pit,

g1) the distance of the line segment connecting between the central fossa and the mesial buccal cusp tip is 68 to 78% of the distance of the line segment connecting between the mesial pit and the distal pit,

g2) the distance of the line segment connecting between the central fossa and the distal buccal cusp tip is 52 to 62% of the distance of the line segment connecting between the mesial pit and the distal pit,

g3) the distance of the line segment connecting between the central fossa and the mesial lingual cusp tip is 46 to 56% of the distance of the line segment connecting between the mesial pit and the distal pit,

g4) the distance of the line segment connecting between the central fossa and the distal lingual cusp tip is 44 to 54% of the distance of the line segment connecting between the mesial pit and the distal pit,

g5) the distance of the line segment connecting between the central fossa and the distal cusp tip is 73 to 83% of the distance of the line segment connecting between the mesial pit and the distal pit,

h1) the distance of the line segment connecting between the mesial buccal cusp tip and the distal buccal cusp tip is 43 to 53% of the distance of the line segment connecting between the mesial pit and the distal pit,

h2) the distance of the line segment connecting between the mesial buccal cusp tip and the mesial lingual cusp tip is 70 to 80% of the distance of the line segment connecting between the mesial pit and the distal pit,

h3) the distance of the line segment connecting between the mesial buccal cusp tip and the distal lingual cusp tip is 106 to 116% of the distance of the line segment connecting between the mesial pit and the distal pit,

h4) the distance of the line segment connecting between the mesial buccal cusp tip and the distal cusp tip is 106 to 116% of the distance of the line segment connecting between the mesial pit and the distal pit,

i1) the distance of the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip is 80 to 90% of the distance of the line segment connecting between the mesial pit and the distal pit,

i2) the distance of the line segment connecting between the distal buccal cusp tip and the distal lingual cusp tip is 81 to 91% of the distance of the line segment connecting between the mesial pit and the distal pit,

i3) the distance of the line segment connecting between the distal buccal cusp tip and the distal cusp tip is 58 to 68% of the distance of the line segment connecting between the mesial pit and the distal pit,

j1) the distance of the line segment connecting between the mesial lingual cusp tip and the distal lingual cusp tip is 64 to 74% of the distance of the line segment connecting between the mesial pit and the distal pit,

j2) the distance of the line segment connecting between the mesial lingual cusp tip and the distal cusp tip is 115 to 125% of the distance of the line segment connecting between the mesial pit and the distal pit,

k) the distance of the line segment connecting between the distal cusp tip and the distal lingual cusp tip is 72 to 82% of the distance of the line segment connecting between the mesial pit and the distal pit.

10. An artificial tooth of a right side or left side maxillary first molar tooth having a mesial buccal cusp tip, a distal buccal cusp tip, a mesial lingual cusp tip, a distal lingual cusp tip, a mesial pit, a distal pit, and a central fossa, being an artificial tooth of a right side or symmetric left side maxillary first molar tooth, wherein:

a) in an example of the right side, in a case of supposing the mesial lingual cusp tip to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 46;

54 and a point for dividing the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip by 58;

42 is parallel to the Z-axis, that the line segment connecting between the distal pit and the mesial pit is parallel to the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is satisfied in the relation of X-coordinate value of mesial pit<

X-coordinate value of distal pit,

b) the ratio of the distance of X-axis from the mesial lingual cusp tip to maximum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from the mesial lingual cusp tip to minimum position of X-coordinate value of the distal surface of the tooth is 22;

78 to 32;

68,

c) the ratio of the distance of Y-axis from the mesial lingual cusp tip to maximum position of Y-coordinate value of the buccal surface of the tooth, and the distance of Y-axis from the mesial lingual cusp tip to minimum position of Y-coordinate value of the lingual surface of the tooth is 76;

24 to 86;

14,

d) the distance of the line segment connecting between the mesial pit and the distal pit is 57 to 67% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the central fossa is 37 to 47% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the mesial buccal cusp tip is 78 to 88% of the distance of the line segment connecting between the mesial pit and the distal pit,

e3) the distance of the line segment connecting between the mesial pit and the distal buccal cusp tip is 111 to 121% of the distance of the line segment connecting between the mesial pit and the distal pit,

e4) the distance of the line segment connecting between the mesial pit and the mesial lingual cusp tip is 51 to 61% of the distance of the line segment connecting between the mesial pit and the distal pit,

e5) the distance of the line segment connecting between the mesial pit and the distal lingual cusp tip is 109 to 119% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the central fossa is 56 to 66% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the mesial buccal cusp tip is 128 to 138% of the distance of the line segment connecting between the mesial pit and the distal pit,

f3) the distance of the line segment connecting between the distal pit and the distal buccal cusp tip is 68 to 78% of the distance of the line segment connecting between the mesial pit and the distal pit,

f4) the distance of the line segment connecting between the distal pit and the mesial lingual cusp tip is 102 to 112% of the distance of the line segment connecting between the mesial pit and the distal pit,

f5) the distance of the line segment connecting between the distal pit and the distal lingual cusp tip is 58 to 68% of the distance of the line segment connecting between the mesial pit and the distal pit,

g1) the distance of the line segment connecting between the central fossa and the mesial buccal cusp tip is 82 to 92% of the distance of the line segment connecting between the mesial pit and the distal pit,

g2) the distance of the line segment connecting between the central fossa and the distal buccal cusp tip is 78 to 88% of the distance of the line segment connecting between the mesial pit and the distal pit,

g3) the distance of the line segment connecting between the central fossa and the mesial lingual cusp tip is 70 to 80% of the distance of the line segment connecting between the mesial pit and the distal pit,

g4) the distance of the line segment connecting between the central fossa and the distal lingual cusp tip is 88 to 98% of the distance of the line segment connecting between the mesial pit and the distal pit,

h1) the distance of the line segment connecting between the mesial buccal cusp tip and the distal buccal cusp tip is 90 to 100% of the distance of the line segment connecting between the mesial pit and the distal pit,

h2) the distance of the line segment connecting between the mesial buccal cusp tip and the mesial lingual cusp tip is 112 to 122% of the distance of the line segment connecting between the mesial pit and the distal pit,

h3) the distance of the line segment connecting between the mesial buccal cusp tip and the distal lingual cusp tip is 154 to 164% of the distance of the line segment connecting between the mesial pit and the distal pit,

i1) the distance of the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip is 125 to 135% of the distance of the line segment connecting between the mesial pit and the distal pit,

i2) the distance of the line segment connecting between the distal buccal cusp tip and the distal buccal cusp tip is 106 to 116% of the distance of the line segment connecting between the mesial pit and the distal pit, and

j) the distance of the line segment connecting between the mesial lingual cusp tip and the distal lingual cusp tip is 81 to 91% of the distance of the line segment connecting between the mesial pit and the distal pit.

18. A set of artificial teeth of right side or symmetric left side artificial teeth of maxillary posterior teeth, comprising:

the artificial tooth of the maxillary first premolar tooth of claim 2,

the artificial tooth of the maxillary second premolar tooth of claim 6,

the artificial tooth of the maxillary first molar tooth of claim 10, and

the artificial tooth of the maxillary second molar tooth of claim 14,

wherein the maximum width of the artificial tooth of said maxillary second premolar tooth is 85 to 95% of the maximum width of the artificial tooth of said maxillary first premolar tooth,

the maximum width of the artificial tooth of said maxillary first molar tooth is 128 to 138% of the maximum width of the artificial tooth of said maxillary first premolar tooth,

the maximum width of the artificial tooth of said maxillary second molar tooth is 165 to 173% of the maximum width of the artificial tooth of said maxillary first premolar tooth, and

the sum of the maximum widths of said four teeth is 26.0 mm to 36 mm.

11. A set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular first molar tooth and a maxillary first molar tooth, comprising:

an artificial tooth of a mandibular first molar tooth, and

an artificial tooth of a maxillary first molar tooth,

wherein the occlusal surface within 1.50 mm in radius from the central fossa of the artificial tooth of said mandibular first molar tooth, and the occlusal surface within 1.50 mm in radius from the mesial lingual cusp tip of the artificial tooth of said maxillary first molar tooth have at least one contact point.

12. The set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular first molar tooth and a maxillary first molar tooth according to claim 11, wherein the occlusal surface within 1.50 mm in radius from the mesial buccal cusp tip of said mandibular first molar tooth has one or more contact points with the occlusal surface within 1.50 mm from the mesial pit of the inner bevel of the mesial buccal cusp tip of said maxillary first molar tooth,

the occlusal surface within 1.50 mm in radius from the distal buccal cusp tip of said mandibular first molar tooth has one contact point with the occlusal surface within 1.50 mm from the central fossa of the inner bevel of the mesial buccal cusp tip of said maxillary first molar tooth,

the occlusal surface within 1.50 mm in radius from the distal buccal cusp tip of said mandibular first molar tooth has one contact point with the occlusal surface within 1.50 mm from the central fossa of the inner bevel of the distal buccal cusp tip of said maxillary first molar tooth, and

the occlusal surface within 1.50 mm in radius from the distal buccal cusp tip of said mandibular first molar tooth has one or more contact points with the occlusal surface within 1.50 mm from the distal pit of the inner bevel of the distal buccal cusp tip of said maxillary first molar tooth.

13. An artificial tooth of a right side or left side mandibular second molar tooth having a mesial buccal cusp tip, a distal buccal cusp tip, a mesial lingual cusp tip, a distal lingual cusp tip, a mesial pit, a distal pit, and a central fossa, being an artificial tooth of a right side or symmetric left side mandibular second molar tooth, wherein:

a) in an example of the right side, in a case of supposing the central fossa to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 53;

47 and a point for dividing the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip by 57;

43 is parallel to the Z-axis, that the line segment connecting between the distal pit and the mesial pit is parallel to the XZ plane of the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is determined in the relation of X-coordinate value of mesial pit<

X-coordinate value of distal pit,

b) the ratio of the distance of X-axis from the central fossa to minimum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from the central fossa to maximum position of X-coordinate value of the distal surface of the tooth is 40;

60 to 50;

50,

c) the ratio of the distance of Y-axis from the central fossa to maximum position of Y-coordinate value of the buccal surface of the tooth, and the distance of Y-axis from the central fossa to minimum position of Y-coordinate value of the lingual surface of the tooth is 56;

44 to 66;

34,

d) distance of the line segment connecting between the mesial pit and the distal pit is 56 to 66% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the central fossa is 43 to 53% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the mesial lingual cusp tip is 58 to 68% of the distance of the line segment connecting between the mesial pit and the distal pit,

e3) the distance of the line segment connecting between the mesial pit and the distal buccal cusp tip is 99 to 108% of the distance of the line segment connecting between the mesial pit and the distal pit,

e4) the distance of the line segment connecting between the mesial pit and the mesial lingual cusp tip is 44 to 54% of the distance of the line segment connecting between the mesial pit and the distal pit,

e5) the distance of the line segment connecting between the mesial pit and the distal lingual cusp tip is 90 to 80% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the central fossa is 48 to 58% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the mesial buccal cusp tip is 102 to 112% of the distance of the line segment connecting between the mesial pit and the distal pit,

f3) the distance of the line segment connecting between the distal pit and the distal lingual cusp tip is 46 to 56% of the distance of the line segment connecting between the mesial pit and the distal pit,

f4) the distance of the line segment connecting between the distal pit and the mesial lingual cusp tip is 99 to 109% of the distance of the line segment connecting between the mesial pit and the distal pit,

f5) the distance of the line segment connecting between the distal pit and the distal lingual cusp tip is 42 to 52% of the distance of the line segment connecting between the mesial pit and the distal pit,

g1) the distance of the line segment connecting between the central fossa and the mesial buccal cusp tip is 70 to 80% of the distance of the line segment connecting between the mesial pit and the distal pit,

g2) the distance of the line segment connecting between the central fossa and the distal buccal cusp tip is 64 to 74% of the distance of the line segment connecting between the mesial pit and the distal pit,

g3) the distance of the line segment connecting between the central fossa and the mesial lingual cusp tip is 57 to 67% of the distance of the line segment connecting between the mesial pit and the distal pit,

g4) the distance of the line segment connecting between the central fossa and the distal lingual cusp tip is 52 to 62% of the distance of the line segment connecting between the mesial pit and the distal pit,

h1) the distance of the line segment connecting between the mesial buccal cusp tip and the distal buccal cusp tip is 74 to 84% of the distance of the line segment connecting between the mesial pit and the distal pit,

h2) the distance of the line segment connecting between the mesial buccal cusp tip and the mesial lingual cusp tip is 89 to 99% of the distance of the line segment connecting between the mesial pit and the distal pit,

h3) the distance of the line segment connecting between the mesial buccal cusp tip and the distal lingual cusp tip is 113 to 123% of the distance of the line segment connecting between the mesial pit and the distal pit,

i1) the distance of the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip is 112 to 122% of the distance of the line segment connecting between the mesial pit and the distal pit,

i2) the distance of the line segment connecting between the distal buccal cusp tip and the distal lingual cusp tip is 79 to 89% of the distance of the line segment connecting between the mesial pit and the distal pit, and

j) the distance of the line segment connecting between the mesial lingual cusp tip and the distal lingual cusp tip is 71 to 81% of the distance of the line segment connecting between the mesial pit and the distal pit.

14. An artificial tooth of a right side or left side maxillary second molar tooth having a mesial buccal cusp tip, a distal buccal cusp tip, a mesial lingual cusp tip, a distal lingual cusp tip, a mesial pit, a distal pit, and a central fossa, being an artificial tooth of a right side or symmetric left side maxillary second molar tooth, wherein:

a) in an example of the right side, in a case of supposing the mesial lingual cusp tip to be the origin of the virtual system of XYZ orthogonal coordinates of this tooth, when an arrangement is determined such that the line segment connecting between a point for dividing the line segment connecting between the mesial pit and the distal pit by 78;

22 and a point for dividing the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip by 30;

70 is parallel to the Z-axis of the system of XYZ orthogonal coordinates, that the line segment connecting between the distal pit and the mesial pit is parallel to the XZ plane of the system of XYZ orthogonal coordinates, and that the condition is satisfied in the relation of X-coordinate value of mesial pit>

X-coordinate value of distal pit,

b) the ratio of the distance of X-axis from the mesial lingual cusp tip to maximum position of X-coordinate value of the mesial surface of the tooth, and the distance of X-axis from the mesial lingual cusp tip to minimum position of X-coordinate value of the distal surface of the tooth is 32;

68 to 42;

58,

c) the ratio of the distance of Y-axis from the mesial lingual cusp tip to maximum position of Y-coordinate value of the buccal surface of the tooth, and the distance of Y-axis from the mesial lingual cusp tip to minimum position of Y-coordinate value of the lingual surface of the tooth is 85;

15 to 95;

5,

d) the distance of the line segment connecting between the mesial pit and the distal pit is 40 to 50% of the maximum width,

e1) the distance of the line segment connecting between the mesial pit and the central fossa is 42 to 52% of the distance of the line segment connecting between the mesial pit and the distal pit,

e2) the distance of the line segment connecting between the mesial pit and the mesial buccal cusp tip is 58 to 68% of the distance of the line segment connecting between the mesial pit and the distal pit,

e3) the distance of the line segment connecting between the mesial pit and the distal buccal cusp tip is 101 to 111% of the distance of the line segment connecting between the mesial pit and the distal pit,

e4) the distance of the line segment connecting between the mesial pit and the mesial lingual cusp tip is 65 to 75% of the distance of the line segment connecting between the mesial pit and the distal pit,

e5) the distance of the line segment connecting between the mesial pit and the distal lingual cusp tip is 102 to 112% of the distance of the line segment connecting between the mesial pit and the distal pit,

f1) the distance of the line segment connecting between the distal pit and the central fossa is 49 to 59% of the distance of the line segment connecting between the mesial pit and the distal pit,

f2) the distance of the line segment connecting between the distal pit and the mesial buccal cusp tip is 103 to 113% of the distance of the line segment connecting between the mesial pit and the distal pit,

f3) the distance of the line segment connecting between the distal pit and the distal buccal cusp tip is 37 to 47% of the distance of the line segment connecting between the mesial pit and the distal pit,

f4) the distance of the line segment connecting between the distal pit and the mesial lingual cusp tip is 94 to 104% of the distance of the line segment connecting between the mesial pit and the distal pit,

f5) the distance of the line segment connecting between the distal pit and the distal lingual cusp tip is 46 to 56% of the distance of the line segment connecting between the mesial pit and the distal pit,

g1) the distance of the line segment connecting between the central fossa and the mesial buccal cusp tip is 70 to 80% of the distance of the line segment connecting between the mesial pit and the distal pit,

g2) the distance of the line segment connecting between the central fossa and the distal buccal cusp tip is 65 to 75% of the distance of the line segment connecting between the mesial pit and the distal pit,

g3) the distance of the line segment connecting between the central fossa and the mesial lingual cusp tip is 68 to 78% of the distance of the line segment connecting between the mesial pit and the distal pit,

g4) the distance of the line segment connecting between the central fossa and the distal lingual cusp tip is 68 to 78% of the distance of the line segment connecting between the mesial pit and the distal pit,

h1) the distance of the line segment connecting between the mesial buccal cusp tip and the distal buccal cusp tip is 85 to 95% of the distance of the line segment connecting between the mesial pit and the distal pit,

h2) the distance of the line segment connecting between the mesial buccal cusp tip and the mesial lingual cusp tip is 102 to 112% of the distance of the line segment connecting between the mesial pit and the distal pit,

h3) the distance of the line segment connecting between the mesial buccal cusp tip and the distal lingual cusp tip is 122 to 132% of the distance of the line segment connecting between the mesial pit and the distal pit,

i1) the distance of the line segment connecting between the distal buccal cusp tip and the mesial lingual cusp tip is 107 to 117% of the distance of the line segment connecting between the mesial pit and the distal pit,

i2) the distance of the line segment connecting between the distal buccal cusp tip and the distal lingual cusp tip is 70 to 80% of the distance of the line segment connecting between the mesial pit and the distal pit, and

j) the distance of the line segment connecting between the mesial lingual cusp tip and the distal lingual cusp tip is 65 to 75% of the distance of the line segment connecting between the mesial pit and the distal pit.

15. A set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular second molar tooth and a maxillary second molar tooth, comprising:

an artificial tooth of a mandibular second molar tooth, and

an artificial tooth of a maxillary second molar tooth,

wherein the occlusal surface within 1.50 mm in radius from the central fossa of said mandibular second molar tooth, and the occlusal surface within 1.50 mm in radius from the mesial lingual cusp tip of said maxillary second molar tooth have at least one contact point.

16. The set of artificial teeth of right side or symmetric left side artificial teeth of a mandibular second molar tooth and a maxillary second molar tooth according to claim 15, wherein the occlusal surface within 1.50 mm in radius from the mesial buccal cusp tip of said mandibular second molar tooth has one or more contact points with the occlusal surface within 1.50 mm from the mesial pit of the inner bevel of the mesial buccal cusp tip of said maxillary second molar tooth,

the occlusal surface within 1.50 mm in radius from the distal buccal cusp tip of said mandibular second molar tooth has one contact point with the occlusal surface within 1.50 mm from the central fossa of the inner bevel of the mesial buccal cusp tip of said maxillary second molar tooth, and

the occlusal surface within 1.50 mm in radius from the distal buccal cusp tip of said mandibular second molar tooth has one contact point with the occlusal surface within 1.50 mm from the central fossa of the inner bevel of the distal buccal cusp tip of said maxillary second molar tooth.