US4620998A
Expired / Lapsed
US
⏱️ 0.0 years remaining
Crescent-shaped polygonal tiles
Assignee: Individual
•
Filing: 1985-02-05
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Granted: 1986-11-04
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Expires: 2005-02-05
Abstract
Abstract Crescent-shaped, polygonal tiles useful for covering walls, floors, ceilings, streets or paths and for producing toys, games and structures. The tiles each have a substantially convex outer edge, a substantially concave inner edge, and at least seven sides forming the edges. In some instances, these sides are straight and of equal length, and in other instances they are not straight but enclose the same area as enclosed by the straight sides of equal length. The tiles, either by themselves or in combination with others, interconnect to fill a plane. Either by themselves or in combination with others, the tiles form mosaics with periodic or non-periodic patterns.
Inventors
- 👤 Haresh Lalvani
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-11-06 13:47
CPC Classifications
B; B44; B44F; B44F3/00; B44C; B44C3/00; B44C3/12; B44C3/123; Y; Y10; Y10T; Y10T428/00; Y10T428/16; Y10T428/163
Claims Analysis
Total Claims: 10
Claim 1
Independent Claim
127 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic, each of said tiles having greater than six sides and including a substantially crescent-shaped body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from p straight sides having equal length, said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides each being oriented at an interior angle V, and adjacent ones of said inner edge sides each being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the even numbers greater than six.
Claim 2
Independent Claim
127 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic, each of said tiles having greater than six sides and including a substantially crescent-shaped body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from p straight sides having equal length, said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides each being oriented at an interior angle V, and adjacent ones of said inner edge sides each being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the even numbers greater than six.
Claim 3
Dependent Claim
23 words
A polygonal tile according to claim 1, wherein said interior angles V equal 180° (1-2/p), and said exterior angles V equal 180° (1-2/p).
Claim 4
Dependent Claim
43 words
A polygonal tile according to claim 2, wherein adjacent ones of said outer edge sides are each oriented at an exterior angle equal to 360°-V, and adjacent ones of said inner edge sides are each oriented at an interior angle equal to 360°-V.
Claim 5
Independent Claim
156 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic, each of said tiles having greater than six sides and including a body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from a plurality of sides, and said outer and inner edges combining to define an area A therebetween, said area A being equal to the area defined by outer and inner edges having straight sides p of equal length with said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides being oriented at an interior angle V and adjacent ones of said inner edge sides being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the even numbers greater than six.
Claim 6
Independent Claim
156 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic, each of said tiles having greater than six sides and including a body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from a plurality of sides, and said outer and inner edges combining to define an area A therebetween, said area A being equal to the area defined by outer and inner edges having straight sides p of equal length with said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides being oriented at an interior angle V and adjacent ones of said inner edge sides being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the even numbers greater than six.
Claim 7
Independent Claim
127 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic, each of said tiles having greater than six sides and including a substantially crescent-shaped body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from p straight sides having equal length, said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides each being oriented at an interior angle V, and adjacent ones of said inner edge sides each being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the odd numbers greater than five.
Claim 8
Independent Claim
127 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic, each of said tiles having greater than six sides and including a substantially crescent-shaped body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from p straight sides having equal length, said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides each being oriented at an interior angle V, and adjacent ones of said inner edge sides each being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the odd numbers greater than five.
Claim 9
Independent Claim
156 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic. each of said tiles having greater than six sides and including a body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from a plurality of sides, and said outer and inner edges combining to define an area A therebetween, said area A being equal to the area defined by outer and inner edges having straight sides p of equal length with said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides being oriented at an interior angle V and adjacent ones of said inner edge sides being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the odd numbers greater than five.
Claim 10
Independent Claim
156 words
A system of plane-filling polygonal tiles, the combination comprising: a plurality of tiles interconnected to form a continuous surface and to form a non-periodic mosaic. each of said tiles having greater than six sides and including a body member having an outer edge directly interconnected with an inner edge, said outer and inner edges each being formed from a plurality of sides, and said outer and inner edges combining to define an area A therebetween, said area A being equal to the area defined by outer and inner edges having straight sides p of equal length with said outer edge being substantially convex, said inner edge being substantially concave, adjacent ones of said outer edge sides being oriented at an interior angle V and adjacent ones of said inner edge sides being oriented at an exterior angle V, the number of sides p being selected from the group consisting of the odd numbers greater than five.
References Cited (Backward Citations)
US613333A
Cited
US1474779A
Cited
US1630530A
Cited
US1838108A
Cited
US3590719A
Cited
US3981505A
Cited
US3921312A
Cited
US4133152A
Cited
US4113256A
Cited
US4223890A
Cited
US4350341A
Cited
US4343471A
Cited
US4503654A
Cited
US4537001A
Cited
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1989-11-03 | 1990-05-05 | 1990-11-04 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1993-11-03 | 1994-05-05 | 1994-11-04 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1997-11-03 | 1998-05-05 | 1998-11-04 | $7700.00 | Window Closed / Lapsed |