Artificial tooth

• US 8,403,669 B2
• Filed: 04/18/2007
• Issued: 03/26/2013
• Est. Priority Date: 04/18/2007
• Status: Active Grant

• Current Assignee: Kabushiki Kaisha Shofu
• Original Assignee: Kabushiki Kaisha Shofu
• Inventors: Satoh, Hirokazu, Negoro, Noriyuki, Fujii, Kunihiro
• Primary Examiner(s): Rodriguez, Cris L
• Assistant Examiner(s): SAUNDERS, MATTHEW P
• Application Number:
  US12/596,437
• Publication Number:
  US 20100119992A1
• Time in Patent Office: 2,169 Days
• Field of Search: 433/199.1, 433/201.1, 433/171, 433/214
• US Class Current: 433/199.1
• 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

Artificial teeth of upper and lower jaws, allowing easy operation by clarifying the three-dimensional positional relation of cusp tips and pits to contact with each other in occlusion. Each pair of artificial teeth may include cusp tips and pits, and the positional relation of the cusp tips and pits are set appropriately.

Claims

1. A set of artificial teeth comprising:

an artificial tooth of a mandibular first premolar tooth (10) having a buccal cusp tip (11), a lingual cusp tip (12), a mesial pit (13a), and a distal pit (13b), wherein,

a) with the distal pit (13b) being an origin of XYZ orthogonal coordinates of this tooth (10), an arrangement is determined such that (i) a line segment connecting between a point (M1a) for internally dividing a line segment connecting between the mesial pit (13a) and the distal pit (13b) by 29;

71 and a point (M1b) for internally dividing a line segment connecting between the buccal cusp tip (11) and the lingual cusp tip (12) by 47;

53 is parallel to the Z-axis, (ii) a line segment connecting between the mesial pit (13a) and the distal pit (13b) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (13a) is less than an X-coordinate value of the distal pit (13b),

b) a ratio of a distance, measured along the X-axis, from the distal pit (13b) to a mesial surface (14a) of the tooth (10) which is at a minimum position of the X-coordinate value of the tooth (10), to a distance, measured along the X-axis, from the distal pit (13b) to a distal surface (14b) of the tooth (10) which is at a maximum position of X-coordinate value of the tooth (10) is 75;

25 to 85;

15,

c) a ratio of a distance, measured along the Y-axis, from the distal pit (13b) to a buccal surface (14c) of the tooth (10) which is at a maximum position of Y-coordinate value of the tooth (10), to a distance, measured along the Y-axis, from the distal pit (13b) to a lingual surface (14d) of the tooth (10) which is at a minimum position of Y-coordinate value of the tooth (10) is 49;

51 to 59;

41,

d) a distance (S1) between the mesial pit (13a) and the distal pit (13b) is 42 to 52% of the maximum width (W1) of the tooth (10),

e1) a distance between the mesial pit (13a) and the buccal cusp tip (11) is 84 to 94% of the distance (S1) between the mesial pit (13a) and the distal pit (13(b),

e2) a distance between the mesial pit (13a) and the lingual cusp tip (12) is 66 to 76% of the distance (S1) between the mesial pit (13a) and the distal pit (13b),

f1) a distance between the distal pit (13b) and the buccal cusp tip (11) is 110 to 120% of the distance (S1) between the mesial pit (13a) and the distal pit (13b),

f2) a distance between the distal pit (13b) and the lingual cusp tip (12) is 83 to 93% of the distance (S1) between the mesial pit (13a) and the distal pit (13b), and

g) a distance between the buccal cusp tip (11) and the lingual cusp tip (12) is 88 to 98% of the distance (S1) between the mesial pit (13a) and the distal pit (13b); and

an opposing artificial tooth of a maxillary first premolar tooth (50) having a buccal cusp tip (51), a lingual cusp tip (52), a mesial pit (53a), and a distal pit (53b), wherein,

a) with the lingual cusp tip (52) being an origin of XYZ orthogonal coordinates of this tooth (50), an arrangement is determined such that (i) a line segment connecting between a point (M5a) for internally dividing a line segment connecting between the mesial pit (53a) and the distal pit (53b) by 47;

53 and a point (M5b) for internally dividing a line segment connecting between the buccal cusp tip (51) and the lingual cusp tip (52) by 55;

45 is parallel to the Z-axis, (ii) a line segment connecting between the mesial pit (53a) and the distal pit (53b) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (53a) is greater than an X-coordinate value of the distal pit (53b),

b) a ratio of a distance, measured along the X-axis, from the lingual cusp tip (52) to a mesial surface (54a) of the tooth (50) which is at a maximum position of X-coordinate value of the tooth (50), to a distance, measured along the X-axis, from the lingual cusp tip (52) to a distal surface (54b) of the tooth (50) which is at a minimum position of X-coordinate value of the tooth (50) is 37;

63 to 47;

53,

c) a ratio of a distance, measured along the Y-axis, from the lingual cusp tip (52) to a lingual surface (54d) of the tooth (50) which is at a minimum position of Y-coordinate value of the tooth (50), to a distance, measured along the Y-axis, from the lingual cusp tip (52) to a buccal surface (54c) of the tooth (50) which is at a maximum position of Y-coordinate value of the tooth (50) is 79;

21 to 89;

11,

d) a distance (S5) between the mesial pit (53a) and the distal pit (53b) is 36 to 46% of a maximum width (W5) of the tooth (50),

e1) a distance between the mesial pit (53a) and the buccal cusp tip (51) is 147 to 157% of the distance (S5) between the mesial pit (53a) and the distal pit (53b),

e2) a distance between the mesial pit (53a) and the lingual cusp tip (52) is 98 to 108% of the distance (S5) between the mesial pit (53a) and the distal pit (53b),

f1) a distance between the distal pit (53b) and the buccal cusp tip (51) is 134 to 144% of the distance (S5) between the mesial pit (53a) and the distal pit (53b),

f2) a distance between the distal pit (53b) and the lingual cusp tip (52) is 119 to 129% of the distance (S5) between the mesial pit (53a) and the distal pit (53b), and

g) a distance between the buccal cusp tip (51) and the lingual cusp tip (52) is 185 to 195% of the distance (S5) between the mesial pit (53a) and the distal pit (53b);

wherein the following contacts are made at the same time,

an occlusal surface surrounding the distal pit (13b) of the artificial tooth of the mandibular first premolar tooth (10) contacts, at least at one contact point, with an occlusal surface surrounding the lingual cusp tip (52) of the artificial tooth of the maxillary first premolar tooth (50), and

a buccal cusp tip outer bevel surrounding the buccal cusp tip (11) of the artificial tooth of the mandibular first premolar tooth (10) contacts, at least at one contact point, with a buccal inner bevel of the occlusal surface surrounding the mesial pit (53a) of the artificial tooth of the maxillary first premolar tooth (50); and

wherein the artificial tooth of the mandibular first premolar tooth (10) is implemented in a mandibular first premolar location within a complete mandibular denture, and the artificial tooth of the maxillary first premolar tooth (50) is implemented in a maxillary first premolar location within a complete maxillary denture.

2. The set of artificial teeth according to claim 1,

wherein the occlusal surface is within 1.50 mm in radius from the distal pit (13b) of the artificial tooth of the mandibular first premolar tooth (10), and the occlusal surface is within 1.50 mm in radius from the lingual cusp tip (52) of the artificial tooth of the maxillary first premolar tooth (50);

and

wherein the buccal cusp tip outer bevel is within 1.50 mm in radius from the buccal cusp tip (11) of the artificial tooth of the mandibular first premolar tooth (10), and the buccal inner bevel of the occlusal surface is within 1.50 mm in radius from the mesial pit (53a) of the artificial tooth of the maxillary first premolar tooth (50).

3. A set of artificial teeth comprising:

an artificial tooth of a mandibular second premolar tooth (20) having a buccal cusp tip (21), a lingual cusp tip (22), a mesial pit (23a), and a distal pit (23b), wherein,

a) with the distal pit (23b) being an origin of XYZ orthogonal coordinates of this tooth (20), an arrangement is determined such that (i) a line segment connecting between a point (M2a) for internally dividing a line segment connecting between the mesial pit (23a) and the distal pit (23b) by 21;

79 and a point (M2b) for internally dividing a line segment connecting between the buccal cusp tip (21) and the lingual cusp tip (22) by 40;

60 is parallel to the Z-axis, (ii) a line segment connecting between the mesial pit (23a) and the distal pit (23b) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (23a) is less than an X-coordinate value of the distal pit (23b),

b) a ratio of a distance, measured along the X-axis, from the distal pit (23b) to a mesial surface (24a) of the tooth (20) which is at a minimum position of X-coordinate value of the tooth (20), to a distance, measured along the X-axis, from the distal pit (23b) to a distal surface (24b) of the tooth (20) which is at a maximum position of X-coordinate value of the tooth (20) is 66;

34 to 76;

24,

c) a ratio of a distance, measured along the Y-axis, from the distal pit (23b) to a buccal surface (24c) of the tooth (20) which is at a maximum position of Y-coordinate value of the tooth (20), to a distance, measured along the Y-axis, from the distal pit (23b) to a lingual surface (24d) of the tooth (20) which is at a minimum position of Y-coordinate value of the tooth (20) is 51;

49 to 61;

39,

d) a distance (S2) between the mesial pit (23a) and the distal pit (23b) is 56 to 66% of a maximum width (W2) of the tooth (20),

e1) a distance between the mesial pit (23a) and the buccal cusp tip (21) is 79 to 89% of the distance (S2) between the mesial pit (23a) and the distal pit (23b),

e2) a distance between the mesial pit (23a) and the lingual cusp tip (22) is 88 to 98% of the distance (S2) between the mesial pit (23a) and the distal pit (23b),

f1) a distance between the distal pit (23b) and the buccal cusp tip (21) is 97 to 107% of the distance (S2) between the mesial pit (23a) and the distal pit (23b),

f2) a distance between the distal pit (23b) and the lingual cusp tip (22) is 127 to 137% of the distance (S2) between the mesial pit (23a) and the distal pit (23b), and

g) a distance between the buccal cusp tip (21) and the lingual cusp tip (22) is 126 to 136% of the distance (S2) between the mesial pit (23a) and the distal pit (23b); and

an opposing artificial tooth of a maxillary second premolar tooth (60) having a buccal cusp tip (61), a lingual cusp tip (62), a mesial pit (63a), and a distal pit (63b), wherein,

a) with the lingual cusp tip (62) being an origin of XYZ orthogonal coordinates of this tooth (60), an arrangement is determined as such that (i) a line segment connecting between a point (M6a) for internally dividing a line segment connecting between the mesial pit (63a) and the distal pit (63b) by 54;

46 and a point (M6b) for internally dividing a line segment connecting between the buccal cusp tip (61) and the lingual cusp tip (62) by 53;

47 is parallel to the Z-axis, (ii) a line segment connecting between the distal pit (63b) and the mesial pit (63a) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (63a) is greater than an X-coordinate value of the distal pit (63b),

b) a ratio of a distance, measured along the X-axis, from the lingual cusp tip (62) to a mesial surface (64a) of the tooth (60) which is at a maximum position of X-coordinate value of the tooth (60), to a distance, measured along the X-axis, from the lingual cusp tip (62) to a distal surface (64b) of the tooth (60) which is at a minimum position of X-coordinate value of the tooth (60) is 42;

68 to 52;

58,

c) a ratio of a distance, measured along the Y-axis, from the lingual cusp tip (62) to a buccal surface (64c) of the tooth (60) which is at a maximum position of Y-coordinate value of the tooth (60), to a distance, measured along the Y-axis, from the lingual cusp tip (62) to a lingual surface (64d) of the tooth (60) which is at a minimum position of Y-coordinate value of the tooth (60) is 79;

21 to 89;

11,

d) a distance (S6) between the mesial pit (63a) and the distal pit (63b) is 40 to 50% of a maximum width (W6) of the tooth (60),

e1) a distance between the mesial pit (63a) and the buccal cusp tip (61) is 150 to 160% of the distance (S6) between the mesial pit (63a) and the distal pit (63b),

e2) a distance between the mesial pit (63a) and the lingual cusp tip (62) is 117 to 127% of the distance (S6) between the mesial pit (63a) and the distal pit (63b),

f1) a distance between the distal pit (63b) and the buccal cusp tip (61) is 142 to 132% of the distance (S6) between the mesial pit (63a) and the distal pit (63b),

f2) a distance between the distal pit (63b) and the lingual cusp tip (62) is 128 to 138% of the distance (S6) between the mesial pit (63a) and the distal pit (63b), and

g) a distance between the buccal cusp tip (61) and the lingual cusp tip (62) is 204 to 214% of the distance (S6) between the mesial pit (63a) and the distal pit (63b);

wherein the following contacts are made at the same time,

an occlusal surface surrounding the distal pit (23b) of the artificial tooth of the mandibular second premolar tooth (20) contacts, at least at one contact point, with an occlusal surface surrounding the lingual cusp tip (62) of the artificial tooth of the maxillary second premolar tooth (60), and

a buccal cusp tip outer bevel surrounding the buccal cusp tip (21) of the artificial tooth of the mandibular second premolar tooth (20) contacts, at least at one contact point, with a buccal inner bevel of the occlusal surface surrounding the mesial pit (63a) of the artificial tooth of the maxillary second premolar tooth (60); and

wherein the artificial tooth of the mandibular second premolar tooth (20) is implemented in a mandibular second premolar location within a complete mandibular denture, and the artificial tooth of the maxillary second premolar tooth (60) is implemented in a maxillary second premolar location within a complete maxillary denture.

4. The set of artificial teeth according to claim 3,

wherein the occlusal surface is within 1.50 mm in radius from the distal pit (23b) of the artificial tooth of the mandibular second premolar tooth (20), and the occlusal surface is within 1.50 mm in radius from the lingual cusp tip (62) of the artificial tooth of the maxillary second premolar tooth (60);

and

wherein the buccal cusp tip outer bevel is within 1.50 mm in radius from the buccal cusp tip (21) of the artificial tooth of the mandibular second premolar tooth (20), and the buccal inner bevel of the occlusal surface is within 1.50 mm in radius from the mesial pit (63a) of the artificial tooth of the maxillary second premolar tooth (60).

5. A set of artificial teeth comprising:

an artificial tooth of a mandibular first molar tooth (30) having a mesial buccal cusp tip (31a), a distal buccal cusp tip (31b), a mesial lingual cusp tip (32a), a distal lingual cusp tip (32b), a mesial pit (33a), a distal pit (33b), and a central fossa (33c), wherein,

a) with the central fossa (33c) being an origin of XYZ orthogonal coordinates of this tooth (30), an arrangement is determined such that (i) a line segment connecting between a point (M3a) for internally dividing a line segment connecting between the mesial pit (33a) and the distal pit (33b) by 49;

51 and a point (M3b) for internally dividing a line segment connecting between the mesial buccal cusp tip (31a) and the distal lingual cusp tip (32b) by 54;

46 is parallel to the Z-axis, (ii) a line segment connecting between the distal pit (33b) and the mesial pit (33a) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (33a) is less than an X-coordinate value of the distal pit (33b),

b) a ratio of a distance, measured along the X-axis, from the central fossa (33c) to a mesial surface (34a) of the tooth (30) which is at a minimum position of X-coordinate value of the tooth (30), to a distance, measured along the X-axis, from the distal pit (33b) to a distal surface (34b) of the tooth (30) which is at a maximum position of X-coordinate value of the tooth (30) is 45;

65 to 55;

45,

c) a ratio of a distance, measured along the Y-axis, from the central fossa (33c) to a buccal surface (34c) of the tooth (30) which is at a maximum position of Y-coordinate value of the tooth (30), to a distance, measured along the Y-axis, from the central fossa (33c) to a lingual surface (34d) of the tooth (30) which is at a minimum position of Y-coordinate value of the tooth (30) is 61;

39 to 71;

29,

d) a distance (S3) between the mesial pit (33a) and the distal pit (33b) is 57 to 67% of the maximum width (W3) of the tooth (30),

e1) a distance between the mesial pit (33a) and the central fossa (33c) is 49 to 59% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

e2) a distance between the mesial pit (33a) and the mesial buccal cusp tip (31a) is 46 to 56% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

e3) a distance between the mesial pit (33a) and the distal buccal cusp tip (31b) is 70 to 80% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

e4) a distance between the mesial pit (33a) and the mesial lingual cusp tip (32a) is 37 to 47% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

e5) a distance between the mesial pit (33a) and the distal lingual cusp tip (32b) is 90 to 100% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

e6) a distance between the mesial pit (33a) and the distal cusp tip (31c) is 119 to 129% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

e7) a distance between the distal pit (33b) and the central fossa (33c) is 42 to 52% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

f1) a distance between the distal pit (33b) and the mesial buccal cusp tip (31a) is 103 to 113% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

f2) a distance between the distal pit (33b) and the distal buccal cusp tip (31b) is 66 to 76% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

f3) a distance between the distal pit (33b) and the mesial lingual cusp tip (32a) is 88 to 98% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

f4) a distance between the distal pit (33b) and the distal lingual cusp tip (32b) is 42 to 52% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

f5) a distance between the distal pit (33b) and the distal cusp tip (31c) is 41 to 51% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

g1) a distance between the central fossa (33c) and the mesial buccal cusp tip (31a) is 68 to 78% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

g2) a distance between the central fossa (33c) and the distal buccal cusp tip (31b) is 52 to 62% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

g3) a distance between the central fossa (33c) and the mesial lingual cusp tip (32a) is 46 to 56% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

g4) a distance between the central fossa (33c) and the distal lingual cusp tip (32b) is 44 to 54% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

g5) a distance between the central fossa (33c) and the distal cusp tip (31c) is 73 to 83% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

h1) a distance between the mesial buccal cusp tip (31a) and the distal buccal cusp tip (31b) is 43 to 53% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

h2) a distance between the mesial buccal cusp tip (31a) and the mesial lingual cusp tip (32b) is 70 to 80% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

h3) a distance between the mesial buccal cusp tip (31a) and the distal lingual cusp tip (32 b) is 106 to 116% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

h4) a distance between the mesial buccal cusp tip (31a) and the distal cusp tip (31c) is 106 to 116% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

i1) a distance between the distal buccal cusp tip (31b) and the mesial lingual cusp tip (32a) is 80 to 90% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

i2) a distance between the distal buccal cusp tip (31b) and the distal lingual cusp tip (32b) is 81 to 91% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

i3) a distance between the distal buccal cusp tip (31b) and the distal cusp tip (31c) is 58 to 68% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

j1) a distance between the mesial lingual cusp tip (32a) and the distal lingual cusp tip (32b) is 64 to 74% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

j2) a distance between the mesial lingual cusp tip (32a) and the distal cusp tip (31c) is 115 to 125% of the distance (S3) between the mesial pit (33a) and the distal pit (33b),

k) a distance between the distal cusp tip (31c) and the distal lingual cusp tip (32b) is 72 to 82% of the distance (S3) between the mesial pit (33a) and the distal pit (33b); and

an opposing artificial tooth of a maxillary first molar tooth (70) having a mesial buccal cusp tip (71a), a distal buccal cusp tip (71b), a mesial lingual cusp tip (72a), a distal lingual cusp tip (72b), a mesial pit (73a), a distal pit (73b), and a central fossa (73c), wherein,

a) with the mesial lingual cusp tip (72a) being an origin of XYZ orthogonal coordinates of this tooth (70), an arrangement is determined such that (i) a line segment connecting between a point (M7a) for internally dividing a line segment connecting between the mesial pit (73a) and the distal pit (73b) by 46;

54 and a point (M7b) for internally dividing a line segment connecting between the distal buccal cusp tip (71b) and the mesial lingual cusp tip (72a) by 58;

42 is parallel to the Z-axis, (ii) a line segment connecting between the distal pit (73b) and the mesial pit (73a) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (73a) is greater than an X-coordinate value of the distal pit (73b),

b) a ratio of a distance, measured along the X-axis, from the mesial lingual cusp tip (72a) to a mesial surface (74a) of the tooth (70) which is at a maximum position of X-coordinate value of the tooth (70), to a distance, measured along the X-axis, from the mesial lingual cusp tip (72a) to a distal surface (74b) of the tooth (70) which is at a minimum position of X-coordinate value of the tooth (70) is 22;

78 to 32;

68,

c) a ratio of a distance, measured along the Y-axis, from the mesial lingual cusp tip (72a) to a buccal surface (74c) of the tooth (70) which is at a maximum position of Y-coordinate value of the tooth (70), to a distance, measured along the Y-axis, from the mesial lingual cusp tip (72a) to a lingual surface (74d) of the tooth (70) which is at a minimum position of Y-coordinate value of the tooth (70) is 76;

24 to 86;

14,

d) a distance (S7) between the mesial pit (73a) and the distal pit (73b) is 57 to 67% of a maximum width (W7) of the tooth (70),

e1) a distance between the mesial pit (73a) and the central fossa (73c) is 37 to 47% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

e2) a distance between the mesial pit (73a) and the mesial buccal cusp tip (71a) is 78 to 88% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

e3) a distance between the mesial pit (73a) and the distal buccal cusp tip (71b) is 111 to 121% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

e4) a distance between the mesial pit (73a) and the mesial lingual cusp tip (72a) is 51 to 61% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

e5) a distance between the mesial pit (73a) and the distal lingual cusp tip (72b) is 109 to 119% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

f1) a distance between the distal pit (73b) and the central fossa (73c) is 56 to 66% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

f2) a distance between the distal pit (73b) and the mesial buccal cusp tip (71a) is 128 to 138% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

f3) a distance between the distal pit (73b) and the distal buccal cusp tip (71b) is 68 to 78% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

f4) a distance between the distal pit (73b) and the mesial lingual cusp tip (72a) is 102 to 112% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

f5) a distance between the distal pit (73b) and the distal lingual cusp tip (72b) is 58 to 68% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

g1) a distance between the central fossa (73c) and the mesial buccal cusp tip (71a) is 82 to 92% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

g2) a distance between the central fossa (73c) and the distal buccal cusp tip (71b) is 78 to 88% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

g3) a distance between the central fossa (73c) and the mesial lingual cusp tip (72a) is 70 to 80% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

g4) a distance between the central fossa (73c) and the distal lingual cusp tip (72b) is 88 to 98% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

h1) a distance between the mesial buccal cusp tip (71a) and the distal buccal cusp tip (71b) is 90 to 100% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

h2) a distance between the mesial buccal cusp tip (71a) and the mesial lingual cusp tip (72a) is 112 to 122% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

h3) a distance between the mesial buccal cusp tip (71a) and the distal lingual cusp tip (72b) is 154 to 164% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

i1) a distance between the distal buccal cusp tip (71b) and the mesial lingual cusp tip (72a) is 125 to 135% of the distance (S7) between the mesial pit (73a) and the distal pit (73b),

i2) a distance between the distal buccal cusp tip (71b) and the distal lingual cusp tip (72b) is 106 to 116% of the distance (S7) between the mesial pit (73a) and the distal pit (73b), and

j) a distance between the mesial lingual cusp tip (72a) and the distal lingual cusp tip (72b) is 81 to 91% of the distance (S7) between the mesial pit (73a) and the distal pit (73b);

wherein the following contacts are made at the same time,

a first occlusal surface surrounding the central fossa (33c) of the artificial tooth of the mandibular first molar tooth (30) contacts, at least one contact point, with a second occlusal surface surrounding the mesial lingual cusp tip (72a) of the artificial tooth of the maxillary first molar tooth (70),

a third occlusal surface surrounding the mesial buccal cusp tip (31a) of the artificial tooth of the mandibular first molar tooth (30) contacts, at least one contact point, with a fourth occlusal surface surrounding the mesial pit (73a) and located at an inner bevel of the mesial buccal cusp tip (71a) of the artificial tooth of the maxillary first molar tooth (70),

a fifth occlusal surface surrounding the distal buccal cusp tip (31b) of the artificial tooth of the mandibular first molar tooth (30) contacts, at least one contact point, with a sixth occlusal surface surrounding the central fossa (73c) and located at an inner bevel of the mesial buccal cusp tip (71a) of the artificial tooth of the maxillary first molar tooth (70),

a seventh occlusal surface surrounding the distal buccal cusp tip (31b) of the artificial tooth of the mandibular first molar tooth (30) contacts, at least one contact point, with an eighth occlusal surface surrounding the central fossa (73c) and located at an inner bevel of the distal buccal cusp tip (71b) of the artificial tooth of the maxillary first molar tooth (70), and

a ninth occlusal surface surrounding the distal cusp tip (31c) of the artificial tooth of the mandibular first molar tooth (30) contacts, at least one contact point, with a tenth occlusal surface surrounding the distal pit (73b) and located at an inner bevel of the distal buccal cusp tip (71b) of the artificial tooth of the maxillary first molar tooth (70); and

wherein the artificial tooth of the mandibular first molar tooth (30) is implemented in a mandibular first molar location within a complete mandibular denture, and the artificial tooth of the maxillary first molar tooth (70) is implemented in a maxillary first molar location within a complete maxillary denture.

6. The set of artificial teeth according to claim 5,

wherein the first occlusal surface is within 1.50 mm in radius from the central fossa (33c) of the artificial tooth of the mandibular first molar tooth (30), and the second occlusal surface is within 1.50 mm in radius from the mesial lingual cusp tip (72a) of the artificial tooth of the maxillary first molar tooth (70),

wherein the third occlusal surface is within 1.50 mm in radius from the mesial buccal cusp tip (31a) of the artificial tooth of the mandibular first molar tooth (30), and the fourth occlusal surface is within 1.50 mm from the mesial pit (73a) of the inner bevel of the mesial buccal cusp tip (71a) of the artificial tooth of the maxillary first molar tooth (70),

wherein the fifth occlusal surface is within 1.50 mm in radius from the distal buccal cusp tip (31b) of the artificial tooth of the mandibular first molar tooth (30), and the sixth occlusal surface is within 1.50 mm from the central fossa (73c) of the inner bevel of the mesial buccal cusp tip (71a) of the artificial tooth of the maxillary first molar tooth (70),

wherein the seventh occlusal surface is within 1.50 mm in radius from the distal buccal cusp tip (31b) of the artificial tooth of the mandibular first molar tooth (30), and the eighth occlusal surface is within 1.50 mm from the central fossa (73c) of the inner bevel of the distal buccal cusp tip (71b) of the artificial tooth of the maxillary first molar tooth (70), and

wherein the ninth occlusal surface is within 1.50 mm in radius from the distal cusp tip (31c) of the artificial tooth of the mandibular first molar tooth (30), and the tenth occlusal surface is within 1.50 mm from the distal pit (73b) of the inner bevel of the distal buccal cusp tip (71b) of the artificial tooth of the maxillary first molar tooth (70).

7. A set of artificial teeth comprising:

an artificial tooth of a mandibular second molar tooth (40) having a mesial buccal cusp tip (41a), a distal buccal cusp tip (41b), a mesial lingual cusp tip (42a), a distal lingual cusp tip (42b), a mesial pit (43a), a distal pit (43b), and a central fossa (43c), wherein,

a) with the central fossa (43c) being an origin of XYZ orthogonal coordinates of this tooth (40), an arrangement is determined such that (i) a line segment connecting between a point (M4a) for internally dividing a line segment connecting between the mesial pit (43a) and the distal pit (43b) by 53;

47 and a point (M4b) for internally dividing a line segment connecting between the mesial buccal cusp tip (41a) and the distal lingual cusp tip (42b) by 57;

43 is parallel to the Z-axis, (ii) a line segment connecting between the distal pit (43b) and the mesial pit (43a) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (43a) is less than an X-coordinate value of the distal pit (43b),

b) a ratio of a distance, measured along the X-axis, from the central fossa (43c) to a mesial surface (44a) of the tooth (40) which is at a minimum position of X-coordinate value of the tooth (40), to a distance, measured along the X-axis, from the central fossa (43c) to a distal surface (44b) of the tooth (40) which is at a maximum position of X-coordinate value of the tooth (40) is 40;

60 to 50;

50,

c) a ratio of a distance, measured along the Y-axis, from the central fossa (43c) to a buccal surface (44c) of the tooth (40) which is at a maximum position of Y-coordinate value of the tooth (40), to a distance, measured along the Y-axis, from the central fossa (43c) to a lingual surface (44d) of the tooth (40) which is at a minimum position of Y-coordinate value of the tooth (40) is 56;

44 to 66;

34,

d) a distance (S4) between the mesial pit (43a) and the distal pit (43b) is 56 to 66% of the maximum width (W4) of the tooth (40),

e1) a distance between the mesial pit (43a) and the central fossa (43c) is 43 to 53% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

e2) a distance between the mesial pit (43a) and the mesial buccal cusp tip (41a) is 58 to 68% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

e3) a distance between the mesial pit (43a) and the distal buccal cusp tip (41b) is 99 to 108% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

e4) a distance between the mesial pit (43a) and the mesial lingual cusp tip (42a) is 44 to 54% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

e5) a distance between the mesial pit (43a) and the distal lingual cusp tip (42b) is 90 to 80% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

f1) a distance between the distal pit (43b) and the central fossa (43c) is 48 to 58% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

f2) a distance between the distal pit (43b) and the mesial buccal cusp tip (41a) is 102 to 112% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

f3) a distance between the distal pit (43b) and the distal buccal cusp tip (41b) is 46 to 56% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

f4) a distance between the distal pit (43b) and the mesial lingual cusp tip (42a) is 99 to 109% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

f5) a distance between the distal pit (43b) and the distal lingual cusp tip (42b) is 42 to 52% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

g1) a distance between the central fossa (43c) and the mesial buccal cusp tip (41a) is 70 to 80% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

g2) a distance between the central fossa (43c) and the distal buccal cusp tip (41b) is 64 to 74% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

g3) a distance between the central fossa (43c) and the mesial lingual cusp tip (42a) is 57 to 67% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

g4) a distance between the central fossa (43c) and the distal lingual cusp tip (42b) is 52 to 62% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

h1) a distance between the mesial buccal cusp tip (41a) and the distal buccal cusp tip (41b) is 74 to 84% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

h2) a distance between the mesial buccal cusp tip (41a) and the mesial lingual cusp tip (42a) is 89 to 99% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

h3) a distance between the mesial buccal cusp tip (41a) and the distal lingual cusp tip (42b) is 113 to 123% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

i1) a distance between the distal buccal cusp tip (41b) and the mesial lingual cusp tip (42a) is 112 to 122% of the distance (S4) between the mesial pit (43a) and the distal pit (43b),

i2) a distance between the distal buccal cusp tip (41b) and the distal lingual cusp tip (42b) is 79 to 89% of the distance (S4) between the mesial pit (43a) and the distal pit (43b), and

j) a distance between the mesial lingual cusp tip (42a) and the distal lingual cusp tip (42b) is 71 to 81% of the distance (S4) between the mesial pit (43a) and the distal pit (43b); and

an opposing artificial tooth of a maxillary second molar tooth (80) having a mesial buccal cusp tip (81a), a distal buccal cusp tip (81b), a mesial lingual cusp tip (82a), a distal lingual cusp tip (82b), a mesial pit (83a), a distal pit (83b), and a central fossa (83c), wherein,

a) with the mesial lingual cusp tip (82a) being an origin of XYZ orthogonal coordinates of this tooth (80), an arrangement is determined as such that (i) a line segment connecting between a point (M8a) for internally dividing a line segment connecting between the mesial pit (83a) and the distal pit (83b) by 78;

22 and a point (M8b) for dividing a line segment connecting between the distal buccal cusp tip (81b) and the mesial lingual cusp tip (82a) by 30;

70 is parallel to the Z-axis, (ii) a line segment connecting between the distal pit (83b) and the mesial pit (83a) is parallel to the XZ plane of the XYZ orthogonal coordinates, and (iii) an X-coordinate value of the mesial pit (83a) is greater than an X-coordinate value of the distal pit (83b),

b) a ratio of a distance, measured along the X-axis, from the mesial lingual cusp tip (82a) to a mesial surface (84a) of the tooth (80) which is at a maximum position of X-coordinate value of the tooth (80), to a distance, measured along the X-axis, from the mesial lingual cusp tip (82a) to a distal surface (84b) of the tooth (80) which is at a minimum position of X-coordinate value of the tooth (80) is 32;

68 to 42;

58,

c) a ratio of a distance, measured along the Y-axis, from the mesial lingual cusp tip (82a) to a buccal surface (84c) of the tooth (80) which is at a maximum position of Y-coordinate value of the tooth (80), to a distance, measured along the Y-axis, from the mesial lingual cusp tip (82a) to a lingual surface (84d) of the tooth (80) which is at a minimum position of Y-coordinate value of the tooth (80) is 85;

15 to 95;

5,

d) a distance (S8) between the mesial pit (83a) and the distal pit (83b) is 40 to 50% of the maximum width (W8) of the tooth (80),

e1) a distance between the mesial pit (83a) and the central fossa (83c) is 42 to 52% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

e2) a distance between the mesial pit (83a) and the mesial buccal cusp tip (81a) is 58 to 68% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

e3) a distance between the mesial pit (83a) and the distal buccal cusp tip (81b) is 101 to 111% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

e4) a distance between the mesial pit (83a) and the mesial lingual cusp tip (82a) is 65 to 75% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

e5) a distance between the mesial pit (83a) and the distal lingual cusp tip (82b) is 102 to 112% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

f1) a distance between the distal pit (83b) and the central fossa (83c) is 49 to 59% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

f2) a distance between the distal pit (83b) and the mesial buccal cusp tip (81a) is 103 to 113% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

f3) a distance between the distal pit (83b) and the distal buccal cusp tip (81b) is 37 to 47% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

f4) a distance between the distal pit (83b) and the mesial lingual cusp tip (82a) is 94 to 104% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

f5) a distance between the distal pit (83b) and the distal lingual cusp tip (82b) is 46 to 56% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

g1) a distance between the central fossa (83c) and the mesial buccal cusp tip (81a) is 70 to 80% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

g2) a distance between the central fossa (83c) and the distal buccal cusp tip (81b) is 65 to 75% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

g3) a distance between the central fossa (83c) and the mesial lingual cusp tip (82a) is 68 to 78% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

g4) a distance between the central fossa (83c) and the distal lingual cusp tip (82b) is 68 to 78% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

h1) a distance between the mesial buccal cusp tip (81a) and the distal buccal cusp tip (81b) is 85 to 95% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

h2) a distance between the mesial buccal cusp tip (81a) and the mesial lingual cusp tip (82a) is 102 to 112% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

h3) a distance between the mesial buccal cusp tip (81a) and the distal lingual cusp tip (82b) is 122 to 132% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

i1) a distance between the distal buccal cusp tip (81b) and the mesial lingual cusp tip (82a) is 107 to 117% of the distance (S8) between the mesial pit (83a) and the distal pit (83b),

i2) a distance between the distal buccal cusp tip (81b) and the distal lingual cusp tip (82b) is 70 to 80% of the distance (S8) between the mesial pit (83a) and the distal pit (83b), and

j) a distance between the mesial lingual cusp tip (82a) and the distal lingual cusp tip (82b) is 65 to 75% of the distance (S8) between the mesial pit (83a) and the distal pit (83b);

wherein the following contacts are made at the same time,

a first occlusal surface surrounding the central fossa (43c) of the artificial tooth of the mandibular second molar tooth (40) contacts, at least one contact point, with a second occlusal surface surrounding the mesial lingual cusp tip (82a) of the artificial tooth of the maxillary second molar tooth (80),

a third occlusal surface surrounding the mesial buccal cusp tip (41a) of the artificial tooth of the mandibular second molar tooth (40) contacts, at least one contact point, with a fourth occlusal surface surrounding the mesial pit (83a) and located at an inner bevel of the mesial buccal cusp tip (81a) of the artificial tooth of the maxillary second molar tooth (80),

a fifth occlusal surface surrounding the distal buccal cusp tip (41b) of the artificial tooth of the mandibular second molar tooth (40) contacts, at least one contact point, with a sixth occlusal surface surrounding the central fossa (83c) and located at an inner bevel of the mesial buccal cusp tip (81a) of the artificial tooth of the maxillary second molar tooth (80), and

a seventh occlusal surface surrounding the distal buccal cusp tip (41b) of the artificial tooth of the mandibular second molar tooth (40) contacts, at least one contact point, with an eighth occlusal surface surrounding the central fossa (83c) and located at an inner bevel of the distal buccal cusp tip (81b) of the artificial tooth of the maxillary second molar tooth (80); and

wherein the artificial tooth of the mandibular second molar tooth (40) is implemented in a mandibular second molar location within a complete mandibular denture, and the artificial tooth of the maxillary second molar tooth (80) is implemented in a maxillary second molar location within a complete maxillary denture.

8. The set of artificial teeth according to claim 7,

wherein the first occlusal surface is within 1.50 mm in radius from the central fossa (43c) of the artificial tooth of the mandibular second molar tooth (40), and the second occlusal surface is within 1.50 mm in radius from the mesial lingual cusp tip (82a) of the artificial tooth of the maxillary second molar tooth (80), wherein the third occlusal surface is within 1.50 mm in radius from the mesial buccal cusp tip (41a) of the artificial tooth of the mandibular second molar tooth (40), and the fourth occlusal surface is within 1.50 mm from the mesial pit (83a) of the inner bevel of the mesial buccal cusp tip (81a) of the artificial tooth of the maxillary second molar tooth (80),

wherein the fifth occlusal surface is within 1.50 mm in radius from the distal buccal cusp tip (41b) of the artificial tooth of the mandibular second molar tooth (40), and the sixth occlusal surface is within 1.50 mm from the central fossa (83c) of the inner bevel of the mesial buccal cusp tip (81a) of the artificial tooth of the maxillary second molar tooth (80), and

wherein the seventh occlusal surface is within 1.50 mm in radius from the distal buccal cusp tip (41b) of the artificial tooth of the mandibular second molar tooth (40), and the eighth occlusal surface is within 1.50 mm from the central fossa (83c) of the inner bevel of the distal buccal cusp tip (81b) of the artificial tooth of the maxillary second molar tooth (80).