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BY DR. C. C.
MILLER.
Comb foundation is in such general use nowadays that it would
be nothing strange to find bee-keepers who have never seen a
frame of entirely natural comb. I have been making a study of
some specimens - a dozen in number - that were built entirely
at the sweet will of the bees, not even the least starter being
in the case. They range in size from a piece of a few square
inches to nearly a frameful.
POSITION OF CELLS.
Looking at brood foundation that I have, I find the cells
placed with the angle at top and bottom.
In super foundation the angle is at each side, one of the cell-walls
lying horizontally at the top and another at the bottom. I don't
know why the two kinds differ.
The bees seem to copy after the first plan. Not very strictly,
however. In only one case can the row of cells be said to be
really in a horizontal row. In another specimen the row descends
half an inch in about a foot. In the other cases the variation
from the strict horizontal is still greater.
The cells run in a fairly straight row except in one frame where
the line is somewhat wavy, apparently because there were four
initial points of beginning, and the four parts were afterward
joined together.
SIZE OF CELLS.
It is a common thing to say, "Worker-cells measure
5 to the inch, and there are, consequently, 25 cells on one side
to the square inch." Neither of these statements is always
true if we speak with any degree of accuracy. There are not always
exactiy 5 cells to the inch; and if there were, there would be,
not 25, but 28-13/15 cells to the square inch. See Cheshire,
Vol. I., page 176 - that is, if the cells were exact hexagons.
The trouble is that they vary from this quite a little. On one
piece of comb, measured horizontally, the average diameter of
a cell was .201087 of an inch; in one of the diagonal directions
it was .19853, and in the other .20357, the total average diameter
being .201062 of an inch.
Upon reading those figures some one may think that I must have
had some very nice instruments with which to take measurements.
I had nothing but a common pocket-rule, and after I tell you
how l did it you will see that a schoolboy could easily do the
same.
Suppose I want to measure the diameter of a cell. Laying the
rule upon it, and measuring merely that one cell, I could only
say it was somewhere between 3/16 and 1/4 of an inch - not very
exact. But if I measure 10 cells, and then divide by 10, I can
come about ten times as near the exact measurement. The larger
the number of cells I take in my measurement, the nearer I can
come to exactness. Well, here's the way I do. I lay the rule
upon the comb, with one end of the rule exactly corresponding
with one of the cell-walls. Then I look along the rule till I
see some notch which corresponds with some cell-wall. Then I
count the number of cells in the given distance, divide the number
of inches by the number of cells, and that gives the diameter
of a cell. For instance, I find a notch of the rule at a cell-wall
9-1/4 inches from the end of the rule. I count the cells, and
find there are 46. I divide 9-1/4 by 46, and I have .201087 of
an inch as the diameter of one cell. Easy, isn't it?
But after I have the diameter of a cell it's just a little bit
of bother to figure the area of the hexagon, especially as its
three diameters are not all alike. A beautifully
simple way of measuring the surface of a comb is given by A.
Berchon, L'Apiculteur, p. 228.
Take the parallelogram ABCD. The line AC passes through the middle
of 5 cells. Next to this vertical row of cells is another row
of 4 cells, with a half-cell at top and a half-cell at
bottom, making 5 cells in the row. So there are 5 cells in each
vertical row in the parallelogram. The line AB passes alternately
through the middle of a cell, coincides with a cell-wall, then
through the middle of another cell, and so on. Each end of the
line stops in the middle of a cell-wall; and if you put together
the two half-cells at each end, the line measures 14 cells. There
being thus 5 cells in each vertical row, and 14 in each horizontal
row, there must be
5 X 14 = 70 cells in the parallelogram.
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Instead of measuring from the center of one cell-wall to the
center of another cell-wall I find it more exact to let the line
AB begin at an angle of a cell and end at the corresponding angle
in another cell.
It may be worth while to notice that the figure, copied from
L'Apiculteur, has the cells running the wrong way, a side
of a cell being at top and bottom of each cell, whereas it should
be an angle.
In one piece of comb, measured horizontally, there were 42 cells
in 8-1/2 inches, and measured vertically there were 38 cells
in 6-11/16 inches. Multiply 42 by 38, and 8-1/2 by 6-11/16, then
divide the former product by the latter, and you have 28.076
cells to the square inch in that piece of comb. In another comb
there were 26.54 cells to the square inch -- quite a difference
in the two combs. T. W. Cowan (The Honey-bee, 181), took 36 measurements
and found the diameter of a cell to range from .186 of an inch
to .211. That's a much greater variation than in the two combs
I have mentioned; but then, he made more measurements.
In a sheet of brood foundation I find 26.62 cells to the square
inch. That's about the same as my sample with the larger cells;
but it has smaller cells than some that Mr. Cowan found in natural
comb. That shows it would be feasible to have foundation with
larger cells, thus working toward a larger bee, if a larger bee
would get more honey.
Of that I have some doubt.
Marengo, Ill. |
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