An Arithmetical Puzzle.
Year: 1889

page_text: Date of Application, 29th July, 1889
Complete Specification Left, 23rd Jan., 1890-Accepted, 1st Mar., 1890
PROVISIONAL
SPECIFICATION.
An Arithmetical Puzzle.
I, WILLIAM PATRICK KELLY, of Mount Brandon, near Graigue, in the County of
Carlow, Ireland, Justice of the Peace, do hereby declare the nature of this invention
to be as follows:-
My invention consists of a number of cubes made of wood or other suitable material,
and of any convenient size. The number of the said cubes may be any square number,
except four, such as nine, sixteen, twenty five, and so forth. Each cube has certain
arithmetical figures marked on each side of its faces, and each face is coloured with
one of six colours, the same six colours being used with all the cubes. Or instead of
this, the figures may be coloured, and the faces uncoloured. By means of the said
cubes and the figures inscribed on them, a considerable number of puzzles can be
solved. The puzzles consist in forming with the figures on the different faces of the
cubes, those combinations of figures which are commonly called "magic squares," i.e.
squares in which the figures are so arranged that the same total is formed by adding
together all the figures in any one row, vertical, horizontal, or diagonal.
"
CASTLE SMITH,
Per F. W. Golby,
"Invention" Office, 54, Fleet Street, London, E.C., Agent for the Applicant.
COMPLETE
SPECIFICATION.
An Arithmetical Puzzle.
I, WILLIAM PATRICK KELLY, late of Mount Brandon, near Graigue, in the County
of Carlow, Ireland, at present residing at 49 Adelaide Street, Blackpool, in the County
of Lancaster, Justice of the Peace, do hereby declare the nature of this invention
and in what manner the same is to be performed, to be particularly described and
ascertained in and by the following statement :—
2:
"
My invention refers to an apparatus by which a considerable number of puzzles in
what are called "
can be solved. A "magic square is a square
magic squares
composed of arithmetical figures so arranged that the figures in any row, vertical,
horizontal, or diagonal, will, when added together, give the same total.
My invention consists of a number of similar blocks, made of wood, or other suitable
material, and of any convenient size. I prefer the said blocks to be of a cubical shape,
as this shape allows of a greater number of puzzles being solved; and I find the most
convenient size to be about one inch square for each face of each cube. The number
of the blocks may be of any square number, except four, such as nine, sixteen, twenty-
five, and so forth; but I find the most convenient number to be sixteen. When the
blocks are cubical in shape, each face of each cube has an arithmetical figure inscribed
on it, and the six faces of each cube are coloured with six different colours, such as
white, green, yellow, orange, and grey, the same six colours being used with all the
cubes. If preferred the faces of the cubes may be all of the same colour; such as
white, and the arithmetical figures inscribed on the faces be in six different colours.
find the firstly described method the more convenient, inasmuch as it makes the
different faces of the cubes more easily distinguishable one from another; and herein
I assume that the firstly described method is the one employed, but the result will be
the same whichever method may be employed. The arithmetical figures inscribed on
the faces of the cubes are as follows:--On the sixteen white faces are inscribed the
sixteen consecutive numbers, one to sixteen, as shewn in Figure 1 of the accompanying
drawings. On the sixteen green faces are inscribed the figures shown in Figure 2.

page_text: On the sixteen pink faces are inscribed the figures shown in Figure 3. On the sixteen
yellow faces are inscribed the figures shown in Figure 4. On the sixteen orange
faces are inscribed the figures shown in Figure 5. On the sixteen grey faces are
inscribed the figures shown in Figure 6.
23
With the above described apparatus the following puzzles in "magic squares can
be solved. No. 1-Turn up the sixteen white faces of the cubes, and arrange them so
as to form a magic square. The solution is shown in Figure 1. No. 2-Turn up the
sixteen green faces, and arrange them so as to form a magic square. The solution
is shown in Figure 2.. No. 3-Turn up the sixteen pink faces, and arrange them
so as to form a magic square. The solution is shown in Figure 3. No. 4-Turn
up the sixteen yellow faces, and arrange them so as to form a magic square.
The
solution is shown in Figure 4. No. 5-Turn up the sixteen orange faces, and arrange
them so as to form a magic square. The solution is shown in Figure 5. No. 6-
Turn up the sixteen grey faces, and arrange them so as to form a magic square.
The
solution is shown in Figure 6. No. 7-Turn up the sixteen white faces, and then turn
up the green. faces of the cubes on the white faces of which are inscribed the
Figures 1, 2, 9, 10. Arrange the sixteen faces thus obtained so as to form a magic
square. The solution is shown in Figure 7. No. 8-Turn up the sixteen green faces,
and then turn up the pink faces of the cubes on the green faces of which are inscribed
the figures 7, 8, 15, 16. Arrange the sixteen faces thus obtained so as to form a
magic square. The solution is shown in figure 8. No. 9-Turn up the sixteen pink
faces and then turn up the yellow faces of the cubes on the pink faces of which are
inscribed the figures 4, 5, 12, 13. Arrange the sixteen faces thus obtained so as to
form a magic square. The solution is shown in Figure 9. No. 10-Turn up the
sixteen yellow faces, and then turn up orange faces of the cubes on the yellow faces of
which are inscribed the figures 8, 9, 16, 17. Arrange the sixteen faces thus obtained
so as to form a magic square. The solution is shown in Figure 10. No. 11-Turn
up the sixteen orange faces, and then turn up the grey faces of the cubes on the orange
faces of which are inscribed the figures 8, 9, 16, 17. Arrange the sixteen faces thus
obtained so as to form a magic square. The solution is shown in Figure 11.
In other cases, I inscribe figures only on two opposite faces of the sixteen blocks
and colour these two faces of each block with two different colours, such as white and
green, the same two colours being used with all the blocks. On the sixteen white
faces of the blocks I inscribe the sixteen consecutive figures one to sixteen; and on
the sixteen green faces I inscribe the figures shown in Figure 2. With these blocks,
one can solve the puzzles bereinbefore described, and nuuibered one, two, and seven.
Having now particularly described and ascertained the nature of my said inven-
tion and in what manner the same is to be performed, I declare that what
claim is
"
For making puzzles in what are commonly called magic squares," apparatus
consisting of a square number of similar blocks of wood or other suitable material, two
or more faces of the said blocks being inscribed with arithmetical figures, and the said
faces or figures being coloured in distinguishing colours, the same colours being used
in all the blocks; the said blocks to be manipulated in the manner hereinbefore set
forth, substantially as described and illustrated in the accompanying drawings.
Dated thi 09-1
1000
CASTLE SMITH,
Per F. W. Golby,
"Invention" Office, 54, Fleet Street, London, E.C., Agent for the Applicant.