Puzzle with pieces in the form of subdivided rhombuses

Claim 2

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular hexagon, each of a first group of said plurality of puzzle pieces being a rhombus and being of the same area and each of a second group of said puzzle pieces being a regular geometric shape formed by subdividing a rhombus, and being of one-half the area of a piece in said first group of puzzle pieces, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids.

Claim 3

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular hexagon, each of a first group of said plurality of puzzle pieces being a rhombus and each of a second group of said puzzle pieces being a regular geometric shape formed by subdividing a rhombus, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids with said equilateral triangles being of at least two different sizes.

Claim 4

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular hexagon, each of a first group of said plurality of puzzle pieces being a rhombus and each of a second group of said puzzle pieces being a regular geometric shape formed by subdividing a rhombus, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids with said equilateral triangles being of at least two different sizes.

Claim 5

A puzzle as claimed in claim 2 in which a portion of said second group of puzzle pieces are right triangles.

Claim 6

A puzzle as clAimed in claim 3 in which a portion of said second group of puzzle pieces are regular hexagons.

Claim 7

A puzzle as claimed in claim 4 in which a portion of said second group of puzzle pieces are trapezoids.

Claim 8

A puzzle as claimed in claim 5 in which the corners of each puzzle piece define angles which are integral multiples of 30* .

Claim 9

A puzzle set comprising: a box having a cross section of a regular hexagon; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular hexagon of said box, each of a first group of said plurality of puzzle pieces of at least some of said plurality of puzzles being a rhombus and being of the same area and each of a second group of said plurality of puzzle pieces of at least some of said puzzles being formed by subdividing a rhombus and having an area equal to one-half the area of pieces of said first group of puzzle pieces, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids.

Claim 10

A puzzle set comprising: a box having a cross section of a regular hexagon; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular hexagon of said box, each of a first group of said plurality of puzzle pieces of at least some of said plurality of puzzles being a rhombus and being of the same area and each of a second group of said plurality of puzzle pieces of at least some of said puzzles being formed by subdividing a rhombus and having an area equal to one-half the area of pieces of said first group of puzzle pieces, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids.

Claim 11

A puzzle set comprising: a box having a cross section of a regular hexagon; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular hexagon of said box, each of a first group of said plurality of puzzle pieces of at least some of said plurality of puzzles being a rhombus, and a second group of said plurality of puzzle pieces of at least some of said puzzles including equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons and trapezoids formed by subdividing a rhombus.

Claim 12

A puzzle set comprising: a box having a cross section of a regular hexagon; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular hexagon of said box, each of a first group of said plurality of puzzle pieces of at least some of said plurality of puzzles being a rhombus, and a second group of said plurality of puzzle pieces of at least some of said puzzles including equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons and trapezoids formed by subdividing a rhombus.

Claim 13

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of a first group of said plurality of puzzle pieces being a rhombus and being of the same area and each of a second group of said puzzle pieces being a regular geometric shape formed by subdividing a rhombus and having an area equal to an integral multiple of one-eighth the area of a piece in the first group of puzzle pieces, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids.

Claim 14

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of a first group of said plurality of puzzle pieces being a rhombus and being of the same area and each of a second group of said puzzle pieces being a regular geometric shape formed by subdividing a rhombus and having an area equal to an integral multiple of one-eighth the area of a piece in the first group of puzzle pieces, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids.

Claim 15

A puzzle as claimed in claim 9 in which each puzzle piece of said second group of puzzle pieces has an area one-half the area of a piece in the first group of puzzle pieces.

Claim 16

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of a first group of said plurality of puzzle pieces being a rhombus and each of a second group of said puzzle pieces being a regular geometric shape formed by subdividing a rhombus, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids with said equilateral triangles being of at least two different sizes.

Claim 17

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of a first group of said plurality of puzzle pieces being a rhombus and each of a second group of said puzzle pieces being a regular geometric shape formed by subdividing a rhombus, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids with said equilateral triangles being of at least two different sizes.

Claim 18

A puzzle set comprising: a box having a cross section of a regular geometric pattern; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular geometric pattern of said box, each of a first group of said plurality of puzzle pieces of at least some of said plurality of puzzles being a rhombus and being of the same area and each of a second group of said plurality of puzzle pieces of at least some of said puzzles having an area equal to an integral multiple of one-eighth the area of a piece in the first group of puzzle pieces, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids formed by subdividing a rhombus.

Claim 19

A puzzle set comprising: a box having a cross section of a regular geometric pattern; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular geometric pattern of said box, each of a first group of said plurality of puzzle pieces of at least some of said plurality of puzzles being a rhombus and being of the same area and each of a second group of said plurality of puzzle pieces of at least some of said puzzles having an area equal to an integral multiple of one-eighth the area of a piece in the first group of puzzle pieces, said second group of puzzle pieces including equilateral triangles, isosceles triangles, and rhomboids formed by subdividing a rhombus.

Claim 20

A puzzle as claimed in claim 12 in which each puzzle piece of said second group of puzzle pieces has an area one-half the area of a piece in the first group of puzzle pieces.

Claim 21

A puzzle set comprising: a box having a cross section of a regular geOmetric pattern; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular geometric pattern of said box, said plurality of puzzle pieces of at least some of said plurality of puzzles including a first group with the pieces therein being rhombuses, and said plurality of puzzle pieces of at least some of said puzzles including a second group with the pieces therein being equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons and trapezoids formed by subdividing rhombuses.

Claim 22

A puzzle set comprising: a box having a cross section of a regular geOmetric pattern; a plurality of puzzles, each puzzle including a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of the regular geometric pattern of said box, said plurality of puzzle pieces of at least some of said plurality of puzzles including a first group with the pieces therein being rhombuses, and said plurality of puzzle pieces of at least some of said puzzles including a second group with the pieces therein being equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons and trapezoids formed by subdividing rhombuses.

Claim 23

A puzzle comprising a plurality of puzzle piece groups capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of said plurality puzzle piece groups having the shape of a rhombus, all of said plurality of puzzle piece groups being of the same area, at least some of said plurality of puzzle piece groups including a plurality of puzzle pieces, each of said plurality of puzzle pieces having an area equal to an integral multiple of one-eighth the area of one of said puzzle piece groups, said plurality of puzzle pieces including geometric shapes formed by subdividing a rhombus of an area equal to the area of one of said plurality of puzzle piece groups.

Claim 24

A puzzle comprising a plurality of puzzle piece groups capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of said plurality puzzle piece groups having the shape of a rhombus, all of said plurality of puzzle piece groups being of the same area, at least some of said plurality of puzzle piece groups including a plurality of puzzle pieces, each of said plurality of puzzle pieces having an area equal to an integral multiple of one-eighth the area of one of said puzzle piece groups, said plurality of puzzle pieces including geometric shapes formed by subdividing a rhombus of an area equal to the area of one of said plurality of puzzle piece groups.

Claim 25

A puzzle as claimed in claim 15 in which the regular geometric pattern is a hexagon.

Claim 26

A puzzle as claimed in claim 15 in which said plurality of puzzle pieces includes equilateral triangles, isosceles triangles and rhomboids.

Claim 27

A puzzle as claimed in claim 15 in which each of said puzzle pieces has an area one-half the area of one of said puzzle piece groups.

Claim 28

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of a first group of said plurality of puzzle pieces being a rhombus and each of a second group of said plurality of puzzle pieces being a regular geometric shape formed by subdividing a rhombus, said second group of said plurality of puzzle pieces including equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons, and trapezoids formed by subdividing a rhombus.

Claim 29

A puzzle comprising a plurality of puzzle pieces capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of a first group of said plurality of puzzle pieces being a rhombus and each of a second group of said plurality of puzzle pieces being a regular geometric shape formed by subdividing a rhombus, said second group of said plurality of puzzle pieces including equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons, and trapezoids formed by subdividing a rhombus.

Claim 30

A puzzle comprising a plurality of puzzle piece groups capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of said plurality puzzle piece groups having the shape of a rhombus, all of said plurality of puzzle piece groups being of the same area, at least some of said plurality of puzzle piece groups including a plurality of puzzle pieces, said plurality of puzzle pieces including equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons, and trapezoids formed by subdividing a rhombus of an area equal to the area of one of said plurality of puzzle piece groups.

Claim 31

A puzzle comprising a plurality of puzzle piece groups capable when placed in juxtaposition of forming a puzzle shape of a regular geometric pattern, each of said plurality puzzle piece groups having the shape of a rhombus, all of said plurality of puzzle piece groups being of the same area, at least some of said plurality of puzzle piece groups including a plurality of puzzle pieces, said plurality of puzzle pieces including equilateral triangles, isosceles triangles, rhomboids, right triangles, regular hexagons, and trapezoids formed by subdividing a rhombus of an area equal to the area of one of said plurality of puzzle piece groups.