[0001] The object of the invention is a element of the three-dimensional puzzle which has
the form of a polyhedron, preferably resembling a sphere.
[0002] From patent description
PL 220061 there is known a collapsible three-dimensional composition composed of spatial structural
components, which in the folded state has a spherical shape similar to a sports ball,
especially a football, and consists of a number of detachably connected spatial components
of two different structures, the first constructional component and the second constructional
component in the developments being single, inseparable blanks. The first structural
component in the folded state is in the form of a truncated prism, the base and the
lid of which have a pentagonal shape, and the side walls have a shape similar to a
trapezium, with the connection of individual edges of the pentagonal base with the
longer horizontal edges of the trapeziform side walls along the bending lines, and
each of the trapeziform side walls is provided along both of its sloping edges with
semi-elliptical overlaps, the overlaps on one side of the side walls having, in the
lower part, closer to the pentagonal base, interlocking projections, which enable
the connection of this element with the second structural element, and the sloping
edges of the trapeziform walls of the first structural element and the straight edges
of the semi-elliptical tabs of these walls connect along the bend lines, while the
trapeziform walls along their shorter horizontal edges are connected along the bend
lines with the straight edges of the fastening elements, forming the pentagonal lid
of the packaging after folding, and from the individual side edges of the prism forming
the first structural element outwardly extend flaps, formed by adjacent semi-elliptic
pairs of adjacent tabs, one of which is provided in the lower part with a bolt projection
enabling connection of this component with the second structural element, which in
the folded state has the form of a truncated prism, the base and the lid of which
have hexagonal outlines, and the side walls have a shape similar to trapeziums, whereby
the connections of the individual edges of the hexagonal base with the longer horizontal
edges of the trapeziform side walls take place along the lines of bends, and each
of the trapeziform side walls is provided along both of its sloping edges with overlaps
also having a trapeziform contour, the tabs of adjacent side walls being connected
to each other along their sloping edges located closer to the edge of the hexagonal
base coinciding with the lines of bends inclined in the folded state at an acute angle
with respect to the hexagonal plane of the base and create catches enabling the connection
of this construction element with the first structural element by means of its transom,
while the trapeziform side walls of the second construction element along their shorter
horizontal edges are connected along the bending lines with the straight edges of
the fastening elements forming the upper hexagonal lid of the packaging once folded.
[0003] In the above spherical composition known from prior art, the interconnection and
fit of the individual elements is imperfect. In practice, it turns out that loosely
connected elements and the way the structure (composition) is assembled do not ensure
a permanent, rigid connection of the elements.
[0004] According to the invention, a element of the three-dimensional puzzle constituting
a composite blank of a truncated pyramid is characterised in that the blank is a plane
figure consisting of a regular polygon interconnected with isosceles trapezia with
a longer base equal to the length of the side of the polygon, abutting on each side
of the polygon by the longer base, wherein the shorter base of each trapezium, up
to half of its length, has attached thereto a deltoid, by its first side with a length
equal to half the length of the shorter base of the trapezium, and the second side
of the deltoid, equal to the first side, is inclined with respect to the first side
at an angle equal to the angle of the regular polygon, and the third side of the deltoid,
perpendicular to the second side, has attached thereto a rectangular hooking element,
with a length greater than the length of the third side of the deltoid by a rectangular
hook which, next to the second side of the deltoid, has a hooking slot, while the
fourth side of the deltoid, equal to the third side, is perpendicular to the first
side, and it is located in the vertical axis of the trapezium, wherein the trapezium
has, at its shorter base, a slot in the vertical axis, and the connections of the
individual sides of the base of the polygon with the longer bases of the isosceles
trapezia, and the connections of the shorter bases of the trapezia with the deltoid,
and of the deltoid with the rectangular hooking element, are creased.
[0005] The regular polygon in the blank of the puzzle element is possibly a regular pentagon.
[0006] In another embodiment, the regular polygon in the blank of the puzzle element is
an equilateral triangle.
[0007] Optionally, the side of the deltoid located in the vertical axis of the trapezium
has a locking protrusion at the shorter base of the trapezium.
[0008] Each of the isosceles trapezia is preferably provided along one arm or both arms
thereof with stiffening tabs whose connection to the trapezium is creased. The adjacent
tabs of the adjacent trapezia are possibly interconnected, with the connection being
creased.
[0009] The sides of the regular polygon constituting the base of the composite pyramid preferably
have the shape of arcs concave towards the inside of the polygon, due to which the
base of the pyramid has a convex rounded top side.
[0010] When the blank elements have been bent in line with all the creases, the arms of
the adjacent trapezia meet, and the surface of the stiffening tab at the arm of one
trapezium abuts on the surface of the adjacent trapezium, or the surface of the tab
at the adjacent trapezium. The hooking slot of the rectangular hooking element connected
to the isosceles trapezium via the deltoid is pressed into the slot of an adjacent
isosceles trapezium located in the vertical axis of that trapezium near its shorter
base, perpendicularly to the surface of that adjacent trapezium. In this manner, the
adjacent isosceles trapezia of the blank form a tight connection of the adjacent side
walls of the truncated pyramid, which is an element of the puzzle. In addition, each
side wall of the pyramid is provided with a hook perpendicular to the surface of the
side wall on the outside of the pyramid, next to the slot located in the vertical
axis of the side wall at its shorter base.
[0011] In another variant, a element of the three-dimensional puzzle constituting a composite
blank of a pyramid is characterised in that the blank is a plane figure consisting
of a regular polygon, with a side equal to the side of the regular polygon, interconnected
with isosceles trapezia with a longer base equal to the length of the side of the
polygon, abutting on each side of the polygon by the longer base, while the shorter
base of each isosceles trapezium has attached thereto, by its base, an isosceles triangle
element with a truncated apex, provided below the apex of the triangle with a fastening
slot, and the trapezium has at the shorter base a slot in the vertical axis, and additionally
the connections of the individual sides of the base of the polygon with the longer
bases of the isosceles trapezia and the connections of the shorter bases of the trapezia
with the triangular elements are creased.
[0012] The regular polygon in the blank of the puzzle element is possibly a regular hexagon.
[0013] In another example, the regular polygon in the blank of the puzzle element is a square.
[0014] Each of the isosceles trapezia is preferably provided along one arm or both arms
thereof with stiffening tabs whose connection to the trapezium is creased. The adjacent
tabs of the adjacent trapezia are possibly interconnected, with the connection being
creased.
[0015] The sides of the regular polygon constituting the base of the pyramid preferably
have the shape of arcs concave towards the inside of the polygon, due to which the
base of the pyramid has a convex rounded top side.
[0016] When the blank elements have been bent in line with all the creases, the arms of
the adjacent trapezia meet, and the surface of the stiffening tab at the arm of one
trapezium abuts on the surface of the adjacent trapezium, or on the surface of the
tab at the adjacent trapezium. An isosceles triangle element of the blank, provided
below the apex of the triangle with a fastening slot, fastens the opposite isosceles
triangle elements, tightly connecting the adjacent side walls of the truncated pyramid,
which is an element of the puzzle
[0017] The interconnected element of the three-dimensional puzzles form a puzzle in the
form of a polyhedron, in various embodiments using different combinations of individual
puzzle elements.
[0018] The puzzle elements can be assembled without difficulty, without the use of glue,
and the user gets the impression of an exact fit of the elements while assembling.
The interconnection of the puzzle elements is tight and stable.
[0019] The object of the invention is illustrated in embodiments in the drawing, in which
fig. 1 and fig. 2 show the blanks of the first and second structural elements of the
puzzle in the first variant of the element, fig. 3 and fig. 4 show the blanks of the
first and second structural elements of the puzzle in the second variant of the element
of the three-dimensional puzzle, fig. 5 and fig. 6 show the first structural element
in the first variant in an external view of the puzzle and in an internal view, partially
assembled, fig. 7 and fig. 8 show the second structural element in the first variant
in an external view of the puzzle and in an internal view, partially assembled, fig.
9 and fig. 10 show the first structural element in the second variant in an external
view of the puzzle and in an internal view, partially assembled, fig. 11 and fig.
12 show the second structural element in the second variant in an external view of
the puzzle and in an internal view, partially assembled, fig. 13 shows the interconnection
of two types of structural elements: with a pentagonal and a hexagonal base, and fig.
14 shows the interconnection of three structural elements: with a pentagonal, a triangular,
and a square base, fig. 15 and fig. 16 show perspective views of the spatial puzzle
in two embodiments.
[0020] In the first variant, a structural component with a base resembling a regular pentagon
has a blank constituting a plane figure consisting of a regular pentagon
1 interconnected with isosceles trapezia
2 with a longer base equal to the length
a of the side of the pentagon, abutting on each side of the pentagon by their longer
base, wherein the shorter base
b of each trapezium
2, up to half of its length, has attached thereto a deltoid
3, by its first side having a length equal to half the length of the shorter base
b of the trapezium, and the second side of the deltoid, equal to the first side, is
inclined with respect to the first side at an angle
α equal to an angle of 108°. The third side
c of the deltoid, perpendicular to the second side, has attached thereto a rectangular
hooking element
4 having a length greater than the length of the third side
c of the deltoid by a rectangular hook
5, which next to the second side of the deltoid has a hooking slot
6, while the fourth side of the deltoid, equal to the third side
c, is perpendicular to the first side, and it is located in the vertical axis O
1 of the trapezium
2, the fourth side of the deltoid having a locking protrusion
8 at the shorter base
b of the trapezium. The trapezium has a slot
7 at the shorter base
b in the vertical axis O
1. The connections of the individual sides
a of the pentagonal base
1 with the longer bases of the trapezia
2, and the connections of the shorter bases
b of the trapezia with the deltoid
3, and of the deltoid with the rectangular hooking element 4, are creased. Each of
the isosceles trapezia
2 is provided along one arm or both arms thereof with stiffening tabs
9 whose connection to the trapezium is creased.
[0021] The sides
a of the regular pentagon
1 constituting the base of the composite pyramid have the shape of arcs concave towards
the inside of the pentagon. Due to this, the base of the pyramid has a convex rounded
top side.
[0022] When the blank elements have been bent in line with all the creases, the arms of
the adjacent trapezia meet, and the surface of the stiffening tab (9) at the arm of
one trapezium abuts on the surface of the adjacent trapezium, or on the surface of
the tab at the adjacent trapezium. The hooking slot
6 of the rectangular hooking element (4) connected to the isosceles trapezium
2 via the deltoid
3 is pressed into the slot
7 of an adjacent isosceles trapezium located in the vertical axis
O1 of that trapezium near its shorter base
b, perpendicularly to the surface of that adjacent trapezium. The locking protrusion
8 on the fourth side of the deltoid at the shorter base
b of the trapezium overlaps the previously bent (folded) deltoid 3, which prevents
the hook
5 from sliding out of the slot
7. In this manner, the adjacent isosceles trapezia of the blank form a tight connection
of the adjacent side walls of the truncated pyramid, which is an element of the puzzle.
In addition, each side wall of the pyramid is provided with a hook
5 perpendicular to the surface of the side wall on the outside of the pyramid, next
to the slot 7 located in the vertical axis O
1 of the side wall at its shorter base.
[0023] The second structural component in the first variant has a base resembling an equilateral
triangle whose blank constitutes a plane figure consisting of an equilateral triangle
11 interconnected with isosceles trapezia
12 with a longer base equal to the length
a of the side of the triangle, abutting on each side of the triangle by the longer
base, wherein the shorter base
d of each trapezium, up to half of its length, has attached thereto a deltoid
13, by its first side with a length equal to half the length of the shorter base
d of the trapezium, and the second side of the deltoid, equal to the first side, is
inclined with respect to the first side at an angle
β equal to the 60° angle of the equilateral triangle, and the third side of the deltoid,
perpendicular to the second side, has attached thereto a rectangular hooking element
14 with a length greater than the length of the third side e of the deltoid by a rectangular
hook
15, which, next to the second side of the deltoid, has a hooking slot
16, while the fourth side of the deltoid, equal to the third side
e, is perpendicular to the first side, and it is located in the vertical axis
O2 of the trapezium
12, the fourth side of the deltoid having a locking protrusion
18 at the shorter base
d of the trapezium. The trapezium has a slot
17 at the shorter base in the vertical axis
02. The connections of the individual sides
a of the triangular base
11 with the longer bases of the trapezia
12, and the connections of the shorter bases
d of the trapeziform side walls with the deltoid
13, and of the deltoid with the rectangular hooking element
14, are creased. Each of the isosceles trapezia
12 is provided along one arm or both arms thereof with stiffening tabs
19, whose connection to the trapezium is creased..
[0024] The sides of the equilateral triangle
11 constituting the base of the composite pyramid have the shape of arcs concave towards
the inside of the triangle. Due to this, the base of the pyramid has a convex rounded
top side.
[0025] When the blank elements have been bent in line with all the creases, the arms of
the adjacent trapezia
12 meet, and the surface of the stiffening tab
19 at the arm of one trapezium abuts on the surface of the adjacent trapezium, or on
the surface of the tab at the adjacent trapezium. The hooking slot
16 of the rectangular hooking element 14 connected to the isosceles trapezium 12 via
the deltoid
13 is pressed into the slot 17 of an adjacent isosceles trapezium located in the vertical
axis O
2 of that trapezium near its shorter base
d, perpendicularly to the surface of that adjacent trapezium. The locking protrusion
18 on the fourth side of the deltoid
13 at the shorter base
d of the trapezium overlaps the previously bent (folded) deltoid, which prevents the
hook
15 from sliding out of the slot
17. In this manner, the adjacent isosceles trapezia
12 of the blank form a tight connection of the adjacent side walls of the truncated
pyramid, which is an element of the puzzle. In addition, each side wall of the pyramid
is provided with a hook
15 perpendicular to the surface of the side wall
12 on the outside of the pyramid, next to the slot
17 located in the vertical axis
O2 of the side wall, at its shorter base d.
[0026] In the second variant, a structural component with a base resembling a regular hexagon
has a blank constituting a plane figure consisting of a regular hexagon
21 with a side
a equal to the side of the regular pentagon 1 in the first component of the puzzle
interconnected with an isosceles trapezium
22 with a longer base equal to the length of the side a of the hexagon, abutting on
each side of the hexagon by the longer base. The shorter base f of the trapezium has
attached thereto, by its base, an isosceles triangle element
23 with a truncated apex provided below the apex of the triangle with a fastening slot
24. The trapezium
22 with a blank of a truncated pyramid with a hexagonal base has, at the shorter base
f, a slot
25 in the vertical axis
O3. The connections of the individual sides
a of the regular hexagon
21 with the longer bases of the trapezia
22, and the connections of the shorter bases of the trapezia
22 with the triangular elements
23 are creased. Each of the isosceles trapezia
22 is provided along one arm or both arms thereof with stiffening tabs
26 whose connection to the trapezium is creased.
[0027] The sides
a of the regular hexagon
21 constituting the base of the composite pyramid have the shape of arcs concave towards
the inside of the hexagon. Due to this, the base of the pyramid has a convex rounded
top side.
[0028] When the blank elements have been bent in line with all the creases, the arms of
the adjacent trapezia
22 meet, and the surface of the stiffening tab
26 at the arm of one trapezium abuts on the surface of the adjacent trapezium, or on
the surface of the tab at the adjacent trapezium. An isosceles triangle element
23 of the blank, provided below the apex of the triangle with a fastening slot
24, fastens the opposite isosceles triangle elements, tightly connecting the adjacent
side walls of the truncated pyramid, which is an element of the puzzle.
[0029] The second structural component in the second variant has a base resembling a square,
whose cross-section constitutes a plane figure consisting of a square
31 with a side a equal to the side of the regular pentagon
1 in the first component of the puzzle, and the side of the equilateral triangle
11 in the second component, interconnected with an isosceles trapezium
32 with a longer base equal to the length of the side
a of the square, abutting on each side of the square by the longer base, while the
shorter base g of the trapezium has attached thereto, by its base, an isosceles triangular
element
33, provided below the apex of the triangle with a fastening slot
34, and the trapezium
32 in the blank of the truncated pyramid with a square base has, at the shorter base
g, a slot
35 in the vertical axis O
4, and furthermore, the connections of the individual sides of the square base
31 with the longer bases of the trapezia
32, and the connections of the shorter bases g of the trapezia with the triangular elements
33, are creased. Each of the isosceles trapezia
32 is provided along one arm or both arms thereof with stiffening tabs
36 whose connection to the trapezium is creased. The adjacent tabs of the adjacent trapezia
are interconnected, with the connection being creased.
[0030] The sides of the square
31 constituting the base of the composite pyramid have the shape of arcs concave towards
the inside of the square.. Due to this, the base of the pyramid has a convex rounded
top side.
[0031] When the blank elements have been bent in line with all the creases, the arms of
the adjacent trapezia
32 meet, and the surface of the stiffening tab
36 at the arm of one trapezium abuts on the surface of the adjacent trapezium, or on
the surface of the tab at the adjacent trapezium. An isosceles triangle element with
a truncated apex
33 of the blank, provided below the apex of the triangle with a fastening slot
34, fastens the opposite isosceles triangle elements, tightly connecting the adjacent
side walls of the truncated pyramid, which is an element of the puzzle.
[0032] The interconnected regular truncated pyramids with pentagonal bases and regular truncated
pyramids with hexagonal bases made from the assembled blanks of these pyramids form
a spatial puzzle resembling a sphere, shown in fig. 15.
[0033] The composite blanks constituting regular truncated pyramids with pentagonal bases
are connected to the composite blanks constituting regular truncated pyramids with
a hexagonal base in such a manner that each side wall of a pyramid with a pentagonal
base is adjacent to a side wall of another pyramid with a hexagonal base. The hook
5 of the hooking element
4 of the regular pyramid with a pentagonal base slides into the slot
25 of the regular pyramid with a hexagonal base.
[0034] In another embodiment, interconnected element of the three-dimensional puzzles in
the form of regular truncated pyramids with a pentagonal base, regular truncated pyramids
with a triangular base, and regular truncated pyramids with a square base, made of
composite blanks of these pyramids, form a spatial puzzle in the form of a polyhedron
resembling a sphere, shown in fig. 16.
[0035] The composite blanks constituting regular truncated pyramids with pentagonal bases
are connected to the composite blanks constituting regular truncated pyramids with
a triangular and a square base in such a manner that each side wall of a pyramid with
a pentagonal base is adjacent to a side wall of another pyramid with a quadrilateral
base. The hooks 5 of the hooking element
4 of each side wall of the regular pyramid with a pentagonal base are slid into the
slots
35 of the side wall in five regular pyramids with a square base. Between the successive
pyramids with a square base, there are situated pyramids with a triangular base, whose
hooks
15 of the hooking elements
14 are inserted into the slots
35 of the side walls of the pyramids with a square base, perpendicular to the side wall
adjacent to the wall of the pyramid with a pentagonal base.
[0036] A spatial puzzle consisting of the elements according to the invention is applicable
as an advertising medium, a sports gadget, a football souvenir, as well as a 3d puzzle-type
puzzle for educational purposes, which can have various graphics-reproducing the layout
of the outer surfaces of the puzzle, the shape, and the positioning. The puzzle elements
interconnected like puzzle elements put together on a board form a logical didactic
picture.
1. An element of the three-dimensional puzzle being a regular truncated pyramid, constituting
a composite blank of the pyramid, characterised in that the blank is a plane figure consisting of a regular polygon (1, 11) interconnected
with isosceles trapezia (2, 12) with a longer base equal to the length (a) of the
side of the polygon, abutting on each side of the polygon by the longer base, wherein
the shorter base of each trapezium (b, d), up to half of its length, has attached
thereto a deltoid (3, 13), by its first side with a length equal to half the length
(b/2, d/2) of the shorter base of the trapezium, and the second side of the deltoid,
equal to the first side, is inclined with respect to the first side at an angle (α,
β) equal to the angle (α, β) of the regular polygon, and the third side (c, e) of
the deltoid (3,13), perpendicular to the second side, has attached thereto a rectangular
hooking element (4, 14), with a length greater than the length of the third side (c,
e) of the deltoid by a rectangular hook (5, 15), which, next to the second side of
the deltoid, has a hooking slot (6, 16), while the fourth side of the deltoid, equal
to the third side (c, e), is perpendicular to the first side, and it is located in
the vertical axis (O1, O2) of the trapezium (2, 12), wherein the trapezium has, at
its shorter base, a slot (7, 17) in the vertical axis (O1, O2), and the connections
of the individual sides (a) of the base of the polygon (1, 11) with the longer bases
of the isosceles trapezia (2, 12), and the connections of the shorter bases (b, d)
of the trapezia (2, 12) with the deltoid (3, 13), and of the deltoid with the rectangular
hooking element (4, 14), are creased.
2. The element of the three-dimensional puzzle according to claim 1, characterised in that the polygon (1) is a regular pentagon.
3. The element of the three-dimensional puzzle according to claim 1, characterised in that the polygon (11) is an equilateral triangle.
4. The element of the three-dimensional puzzle according to claim 1, characterised in that the fourth side of the deltoid (3, 13), located in the vertical axis (01, 02) of
the trapezium (2, 12) has a locking protrusion (8, 18) at the shorter base of the
trapezium (2, 12).
5. The element of the three-dimensional puzzle according to claim 1, characterised in that each of the side walls of the trapezium (2, 12) is provided along one arm or both
arms thereof with stiffening tabs (9, 19) whose connection to the wall of the trapezium
(2, 12) is creased.
6. The element of the three-dimensional puzzle according to claim 1, characterised in that the sides of the regular polygon (1, 11) constituting the base of the pyramid have
the shape of arcs concave towards the inside of the polygon.
7. An element of the three-dimensional puzzle being a regular truncated pyramid, constituting
a composite blank of the pyramid, characterised in that the blank is a plane figure consisting of a regular polygon (21, 31) with a side
(a) equal to the side of the regular polygon (21, 31) interconnected with isosceles
trapezia (22, 32) with a longer base equal to the length of the side (a) of the polygon,
abutting on each side of the polygon by the longer base, while the shorter base (f,
g) of each isosceles trapezium (22, 32) has attached thereto, by its base, an isosceles
triangle element (23, 33) with a truncated apex, provided below the apex of the triangle
with a fastening slot (24, 34), and the trapezium (22, 32) has, at the shorter base
(f, g), a slot (25, 35) in the vertical axis (O3, O4), and additionally, the connections
of the individual sides of the base of the polygon (21, 31) with the longer bases
of the isosceles trapezia (22, 32), and the connections of the shorter bases of the
trapezia (22, 32) with the isosceles triangle elements with a truncated apex (23,
33), are creased.
8. The element of the three-dimensional puzzle according to claim 7, characterised in that the polygon (21) is a regular hexagon.
9. The element of the three-dimensional puzzle according to claim 7, characterised in that the polygon (31) is a square.
10. The element of the three-dimensional puzzle according to claim 7, characterised in that each of the trapezia (22, 32) is provided along one arm or both arms thereof with
stiffening tabs (26, 36) whose connection to the trapezia (22, 32) is creased.
11. The element of the three-dimensional puzzle according to claim 7, characterised in that the sides of the regular polygon (21, 31) constituting the base of the pyramid have
the shape of arcs concave towards the inside of the polygon.