Systems of articles of manufacture with corresponding fiducial marks and dimensional variations
The illustrative embodiment of the present invention uses a tangible three-dimensional structure as a fiducial mark, which structure is, at least partially, tolerant of dimensional variations in the article. The illustrative embodiment uses three such tangible three-dimensional structures: (1) a portion of a tangible conical surface, (2) a portion of a tangible spheroidal surface, and (3) a portion of a tangible pyramidal surface.
1. A system comprising:
(1) a first hole in a first portion of a first material composing a first article of manufacture, wherein the first hole in the first portion of the first material is defined, at least in part, by a first portion of a first tangible conical surface, wherein the first tangible conical surface establishes (i) a first conical apex, (ii) a first conical-surface volume, (iii) a first conical axis, and (iv) a first conical-surface area;
(2) a second hole in a second portion of the first material composing the first article of manufacture, wherein the second hole in the second portion of the first material is defined, at least in part, by a second portion of a second tangible conical surface, wherein the second tangible conical surface establishes (i) a second conical apex, (ii) a second conical-surface volume, (iii) a second conical axis, and (iv) a second conical-surface area;
(3) a third hole in a third portion of the first material composing the first article of manufacture, wherein the third hole in the third portion of the first material is defined, at least in part, by a third portion of a third tangible conical surface, wherein the third tangible conical surface establishes (i) a third conical apex, (ii) a third conical-surface volume, (iii) a third conical axis, and (iv) a third conical-surface area;
(4) a fourth hole in a fourth portion of a second material composing a second article of manufacture, wherein the fourth hole in the fourth portion of the second material is defined, at least in part, by a fourth portion of a fourth tangible conical surface, wherein the fourth tangible conical surface establishes (i) a fourth conical apex, (ii) a fourth conical-surface volume, (iii) a fourth conical axis, and (iv) a fourth conical-surface area;
(5) a fifth hole in a fifth portion of the second material composing the second article of manufacture, wherein the fifth hole in the fifth portion of the second material is defined, at least in part, by a fifth portion of a fifth tangible conical surface, wherein the fifth tangible conical surface establishes (i) a fifth conical apex, (ii) a fifth conical-surface volume, (iii) a fifth conical axis, and (iv) a fifth conical-surface area; and
(6) a sixth hole in a sixth portion of the second material composing the second article of manufacture, wherein the sixth hole in the sixth portion of the second material is defined, at least in part, by a sixth portion of a sixth tangible conical surface, wherein the sixth tangible conical surface establishes (i) a sixth conical apex, (ii) a sixth conical-surface volume, (iii) a sixth conical axis, and (iv) a sixth conical-surface area;
wherein the first conical apex, the second conical apex, and the third conical apex are non-collinear and form a first triangle;
wherein the fourth conical apex, the fifth conical apex, and the sixth conical apex are non-collinear and form a second triangle;
wherein the first triangle is congruent with the second triangle; and
wherein the first conical-surface volume does not equal the fourth conical-surface volume.
2. The system of claim 1 :
wherein the second conical-surface volume does not equal the fifth conical-surface volume; and
wherein the third conical-surface volume does not equal the sixth conical-surface volume.
3. The system of claim 1 wherein the first conical-surface area does not equal the fourth conical-surface area.
4. The system of claim 3 :
wherein the second conical-surface area does not equal the fifth conical-surface area; and
wherein the third conical-surface area does not equal the conical-surface area volume.
5. The system of claim 1 :
wherein the first conical axis and the second conical axis are non-parallel; and
wherein the fourth conical axis and the fifth conical axis are non-parallel.
6. The system of claim 5 :
wherein the first conical axis and the second conical axis are skew; and
wherein the fourth conical axis and the fifth conical axis are skew.
7. The system of claim 1 :
wherein the first conical axis and the second axis are non-parallel; and
wherein the first conical axis and the fourth conical axis are parallel when and only when:
(i) the second conical axis is parallel with the fifth conical axis, and
(ii) the third conical axis is parallel with the sixth conical axis.
8. The system of claim 1 :
wherein the first hole in the first portion of the first material is a blind hole; and
wherein the fourth hole in the second portion of the second material is a through hole.
9. The system of claim 1 wherein the first material is fiber-reinforced thermoplastic and the second material is fiber-reinforced thermoplastic.
10. The system of claim 1 :
wherein the first article of manufacture has a first mass m 1 ;
wherein the second article of manufacture has a second mass m 2 ; and
wherein 0.990m 1 ≤m 2 ≤0.997m 1 .
11. The system of claim 1 :
wherein the first article of manufacture has a first conical-surface volume v 1 ;
wherein the second article of manufacture has a second conical-surface volume v 2 ; and
wherein 0.990v 1 ≤v 2 ≤0.997v 1 .
12. The system of claim 1 wherein the unilateral shape similarity of the first article of manufacture with respect to the second article of manufacture is more than 95.0%, but less than 99.9%.
13. The system of claim 1 wherein the bilateral shape similarity of the first article of manufacture and the second article of manufacture is more than 98.0%, but less than 99.5%.
14. A system comprising:
(1) a first hole in a first portion of a first material composing a first article of manufacture, wherein the first hole in the first portion of the first material is defined, at least in part, by a first portion of a first tangible conical surface, wherein the first tangible conical surface establishes (i) a first conical apex, (ii) a first conical-surface volume, (iii) a first conical axis, and (iv) a first conical-surface area;
(2) a second hole in a second portion of the first material composing the first article of manufacture, wherein the second hole in the second portion of the first material is defined, at least in part, by a second portion of a second tangible conical surface, wherein the second tangible conical surface establishes (i) a second conical apex, (ii) a second conical-surface volume, (iii) a second conical axis, and (iv) a second conical-surface area;
(3) a third hole in a third portion of the first material composing the first article of manufacture, wherein the third hole in the third portion of the first material is defined, at least in part, by a third portion of a third tangible conical surface, wherein the third tangible conical surface establishes (i) a third conical apex, (ii) a third conical-surface volume, (iii) a third conical axis, and (iv) a third conical-surface area;
(4) a fourth hole in a fourth portion of a second material composing a second article of manufacture, wherein the fourth hole in the fourth portion of the second material is defined, at least in part, by a fourth portion of a fourth tangible conical surface, wherein the fourth tangible conical surface establishes (i) a fourth conical apex, (ii) a fourth conical-surface volume, (iii) a fourth conical axis, and (iv) a fourth conical-surface area;
(5) a fifth hole in a fifth portion of the second material composing the second article of manufacture, wherein the fifth hole in the fifth portion of the second material is defined, at least in part, by a fifth portion of a fifth tangible conical surface, wherein the fifth tangible conical surface establishes (i) a fifth conical apex, (ii) a fifth conical-surface volume, (iii) a fifth conical axis, and (iv) a fifth conical-surface area; and
(6) a sixth hole in a sixth portion of the second material composing the second article of manufacture, wherein the sixth hole in the sixth portion of the second material is defined, at least in part, by a sixth portion of a sixth tangible conical surface, wherein the sixth tangible conical surface establishes (i) a sixth conical apex, (ii) a sixth conical-surface volume, (iii) a sixth conical axis, and (iv) a sixth conical-surface area;
wherein the first conical apex, the second conical apex, and the third conical apex are non-collinear and form a first triangle;
wherein the fourth conical apex, the fifth conical apex, and the sixth conical apex are non-collinear and form a second triangle;
wherein the first conical axis and the second axis are non-parallel; and
wherein the first conical axis and the fourth conical axis are parallel when and only when:
(i) the second conical axis is parallel with the fifth conical axis, and
(ii) the third conical axis is parallel with the sixth conical axis.
15. The system of claim 14 :
wherein the second conical-surface volume does not equal the fifth conical-surface volume; and
wherein the third conical-surface volume does not equal the sixth conical-surface volume.
16. The system of claim 14 wherein the first conical-surface area does not equal the fourth conical-surface area.
17. The system of claim 16 :
wherein the second conical-surface area does not equal the fifth conical-surface area; and
wherein the third conical-surface area does not equal the conical-surface area volume.
18. The system of claim 14 :
wherein the first conical axis and the second conical axis are non-parallel; and
wherein the fourth conical axis and the fifth conical axis are non-parallel.
19. The system of claim 18 :
wherein the first conical axis and the second conical axis are skew; and
wherein the fourth conical axis and the fifth conical axis are skew.
20. The system of claim 14 :
wherein the first hole in the first portion of the first material is a blind hole; and
wherein the fourth hole in the second portion of the second material is a through hole.
21. The system of claim 14 wherein the first material is fiber-reinforced thermoplastic and the second material is fiber-reinforced thermoplastic.
22. The system of claim 14 :
wherein the first article of manufacture has a first mass m 1 ;
wherein the second article of manufacture has a second mass m 2 ; and
wherein 0.990m 1 ≤m 2 ≤0.997m 1 .
23. The system of claim 14 :
wherein the first article of manufacture has a first conical-surface volume v 1 ;
wherein the second article of manufacture has a second conical-surface volume v 2 ; and
wherein 0.990v 1 ≤v 2 ≤0.997v 1 .
24. The system of claim 14 wherein the unilateral shape similarity of the first article of manufacture with respect to the second article of manufacture is more than 95.0%, but less than 99.9%.
25. The system of claim 14 wherein the bilateral shape similarity of the first article of manufacture and the second article of manufacture is more than 98.0%, but less than 99.5%.