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Description  |
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BACKGROUND OF THE INVENTION
a. Field of the Invention
This invention relates to the field of interchangeable-face devices, which
may be used for amusement, presenting advertisement material, etc.. It has
for its particular objective the creation of an improved
interchangeable-face device comprising two sets of equal numbers of
equilateral triangles, with one set bonded to each surface of an
intermediate binder element adapted to act as hinges between adjoining
triangles of the combination, the two sets of triangles being in registry
with each other so that each set acts as one set of faces of the resulting
combination. The triangles are schematically overlaid, with the end
triangles secured together, to form a polygonal structure. Graphic
representations schematically provided on the faces of the triangles form
a composite representation for the over-all exposure of a set of exposed
triangle faces. With inversion of the set of faces shown, a different set
of faces is exposed, providing a different composite represention. with
the previous set of faces hidden. Depending on the number of triangles
used to make up the complete structure of the polygon, as many as 16 or
more different combinations of representations can be selectively exposed
and re-exposed.
B. Prior Art
In the present state of the art there are polygonal devices of the type
described, so arranged, depending upon the number of triangles used to
form the device, as to form such polygonal figures as hexagons, etc..
These devices are so constructed that by pinching two adjoining triangle
surfaces together, while pulling the apices of opposing triangles in the
opposite direction, the exposed triangle faces will be turned outwardly to
expose a different set of faces, with the former set now hidden from view.
This form and manner of "flexing" the device to serially expose different
sets of faces have led them to be called flexagons, such as hexaflexagons,
etc., depending upon the number of sides of the device, and capable of
exposing 6,15 or more hexagonal surfaces, each set appearing to have a
different design. The disadvantages found with present types of flexagons
depend on the nature of their construction. Some are created by folding
strips of paper to form the equilateral triangles, the folds becoming the
hinges between adjoining triangles, by means of which the device is
"flexed" and the surfaces changed. Obviously, after a number of such
"flexes" or changes the folds disintegrate, and the device becomes
worthless. In other instances the triangles are individually cut out, or
formed, of paper, cardboard, metal, etc., and thereafter joined together,
with tape strips to act as hinges, or by gluing them along a long strip of
tape. The obvious disadvantages to this construction lie in time and labor
used in forming the individual triangles and taping them together, as well
as the difficulty in taping them so that the hinge portions of the tape
are neither too binding nor too slack. Also, the finished product does not
present an aesthetic appearance.
BRIEF SUMMARY OF THE INVENTION
The aforementioned disadvantages are overcome by my invention, which
provides for die-cutting, or stamping, two rows of triangles for the
polygon, with the triangles in each row spaced apart but held together as
a unit by interconnecting link portions bridging the interspaces, until
assembly, and thereafter securing each row of triangles to one surface of
a pliant intermediate binder element, whereby the two rows of triangles
and their interspaces come into registry on either side of the binder
element to form a single row of triangles. While the link members may
remain in the interspaces they do not interfere with the overlaying of the
triangles, in assembly and use, with the binder element bridging the
interspaces becoming the hinges between adjoining triangles. Prior to the
die-cutting, or stamping, of the triangle units, or thereafter, the faces
of the triangles are provided with schematic graphic representations
aforementioned.
It is therefore an important object of my invention to provide an improved
interchangeable-face device of greater durability, far outlasting present
types of construction and use.
A second important object of my invention lies in the provision of an
interchangeable-face device, which greatly reduces the time and labor
involved in the construction of present types.
Still another important object of my invention lies in the creation of a
device of the type described, wherein the spacing of the triangles is
mechanically uniform, for flexing and without slack.
Still another important object of my invention lies in the provision of a
device of the type described which permits greater facility in providing
the graphic representations, or symbols, for the triangle faces, since
they may be provided either prior or subsequent to assembly of the
completed device, prior to formation of the polygon.
These and other salient objects, advantages and functional features of my
invention will become more readily apparent from an examination of the
following description, taken with the accompanying drawings, wherein:
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a top view of a preferred embodiment of my invention, commonly
termed a hexaflexagon;
FIG. 2 is a perspective view of the embodiment of FIG. 1, in the process of
exposing a different set of faces;
FIG. 3 is a top view of the embodiment of FIG. 1, showing the different set
of faces exposed;
FIG. 4 is a reduced view showing the top and bottom surfaces of the device,
each row of triangles formed as a unit;
FIG. 5 is an enlarged, exploded perspective view, in broken section,
showing the upper and lower rows of triangles of FIG. 4, and the
intermediae binder element;
FIG. 6 is a view similar to FIG. 5, but showing the parts thereof bonded
together;
FIG. 7 is a cross-sectional view, taken on lines 7-7 of FIG. 6;
FIG. 8 is a cross-sectional view of one of the triangles, showing one form
of application of adhesive for binding to the binder element;
FIGS. 9 and 10 show the procedure for overlaying the triangles to form the
final device shown by FIG. 1; and
FIGS. 11 and 12 are broken sections of triangle units showing variations of
surface graphic representations.
Similar reference characters designate similar parts throughout the
different views.
DETAILED DESCRIPTION OF THE INVENTION
Illustrative of the embodiment shown by the drawings, my
interchangeable-face device 10, which, in this embodiment, forms a
hexaflexagon, is formed by die-cutting, or otherwise stamping out, two
rows 12 and 14 of 19 equilateral triangles 16 each, the triangles 16
formed in alternate positions, and each spaced from its adjacent triangle
or triangles, as shown in FIGS. 5 and 6, an equal distance, with the
triangles 16 being held together by link members 18, which may be scored
centrally for breakage after final assembly, so that each row 12 and 14
remains, until then, a complete unit. The rows 12 and 14 are preferably
made from sheets of substantially rigid but flexible cardboard or plastic
material, although other suitable material may be substituted, so that the
triangle faces are fairly firm and the link members 18 sufficiently strong
to hold the triangles together until final assembly, the spacing between
triangles 16 being of a distance as will hereinafter be disclosed. The
first 18 triangles 16 of row 12 are then imprinted, embossed or otherwise
provided with representations, graphic or otherwise, schematically, as
shown by FIG. 4. In this illustration colors are used, but numbers,
designs, or other representations may be substituted or included, and the
last triangle 16 is left blank, coated with a pressure-sensitive adhesive
22. The first triangle 16 of the bottom row 14 is likewise left blank,
with the remainder of the triangles similarly provided with
representations schematically, in the manner above described.
For convenience color design has been shown in the illustration by numeral,
specific colors indicated as follows:
B--blue design BR--blue reverse design
G--green design GR--green reverse design
R--red design RR--red reverse design
Y--yellow design YR--yellow reverse design
P--pink design PR--pink reverse design
O--orange design OR--orange reverse design
While the use of "reverse" , with color, serves no purpose other than to
indicate pairs of triangles, it becomes important in using shapes,
designs, etc., since the latter must come into registry when triangle
pairs are overlaid, since they have alternate apices, that is to say, the
design or shape must be reversed to match its corresponding triangle.
Following the schematice pattern for color, the colors for top row 12, of
triangles 16, are B, BR, G, GR, R, RR, and the scheme repeated for the
remaining triangles, other than the last, which remains blank, while the
schematic pattern for the bottom row 14, after the first blank triangle,
is O, P, Y, OR, PR, YR, etc., as shown in FIG. 4.
In the embodiment shown, there is provided a binder element 24, matching
the length and width of rows 12 and 14, composed of a sheet of durable,
pliant material, such as nylon, to one surface of which row 12 is bonded,
and to the other surface of which row 14 is bonded, so that the triangles
16 and interspaces 22 of the respective sets 12 and 14 come into registry,
as shown by FIGS. 5, 6 and 7, whereby the exposed portions of the binder
element 24 act as hinges between adjoining triangles 16. In the embodiment
illustrated the rows 12 and 14 are bonded to the binder element 24 by
adhesive coatings 26 provided on the undersurfaces of rows 12 and 14, and
protected, prior to assembly, by a removable layer 28, as shown by FIG. 8.
However, instead of such adhesive coating 26 and protective layer 28, the
undersurfaces of the triangle rows 12 and 14 may be sprayed with adhesive
before assembly with the binder element 24, or both surfaces of the latter
may be so sprayed or adhesive otherwise applied.
Referring now to the spacing of the triangles 16 from one another in each
of the rows 12 and 14, they are equally spaced from adjoining triangles a
distance equal to a double thickness of the triangles 16 plus the
thickness of the binder element 22, so that, with the assembly of the
device 10, the triangles 16 may be overlaid, for the assembly and use of
the device 10, upon one another easily, without strain, but also without
slack.
FORMING THE INVENTION
In the formation of the hexaflexagon 10, the upper faces of the triangles
16 are overlaid, color to color, thus, B upon BR, G upon GR, etc., to form
a row of 9 double triangles 16 and a single final triangle 16 (YR), as
shown in FIG. 9. It is then folded along line x--x, as shown in FIG. 9,
with YR against Y, to form the shape shown by FIG. 10. The triangles
colored PR, P and YR are then folded along line y--y, beneath the
remaining triangles, and the blank triangle 16, provided with the
pressure-sensitive glue 22, is folded upon the blank triangle beneath it,
and secured thereto, to form the hexaflexagon 10 shown in FIG. 1.
OPERATION OF THE INVENTION
Referring now to FIGS. 1, 2 and 3, FIG. 1 shows six faces of triangles 16,
all colored orange. As shown by FIG. 2, two of the triangles 16 are
pinched together near their bases, while opposing triangles 16 are forced
outwardly at their apices. As the opposing triangles 16 are forced
outwardly the pinched triangles 16 are released and a different set of
faces becomes exposed, as shown by FIG. 3, in which all of the faces are
green. In this way other sets of triangle faces are consecutively exposed,
with the previously exposed faces thereby concealed.
In the construction of my device 10 as a hexaflexagon, with the number of
triangles employed, and with positional changes of their positions, 15
different facial exposures are possible. Where geometric shapes are used
for the graphic representations, such as shown by FIGS. 11 and 12, it is
possible to have 15 different Kaleidoscopic effects. Color may be combined
with shape, etc., and different forms of advertising material may be
provided for the triangle faces. It is therefore obvious that variations
of graphic representations for the faces of the triangles are limited only
by the imagination of the maker.
Hence, it is to be recognized that the embodiment shown and described is by
way of illustration and not by way of limitation, and that various changes
may be made in the construction, composition and arrangement of parts
without limitation upon or departure from the spirit and scope of the
invention, or sacrificing any of the advantages thereof inherent therein,
all of which are herein and hereby claimed.
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