Does Moss Grow on the North Side?
by Michael
Peterson
Astronomy/Physics
Research class
Abstract: This lab is centered around
a long-standing theory that moss grows on the north side of any given
object. In order to further test this theory I have taken digital pictures
to analyze on a computer the amount of moss on a basis of defined sections
of a circular amphitheater at our school. Moss grows on the steps of
the amphitheater. Each section represents a number of degrees. I later
laid out all the pictures in order from east to west and found the sections
then used the computer to analyze the sections identified on my panoramic.
The equation I used was Asin(W Section=Delta) =Yzero to determine as
the expected outcome, I compared the difference between the two peaks
of data to decide whether or not my hypothesis was true. I found that
the moss does not grow on the north face of the amphitheater.
Hypothesis: Greatest concentration of moss and the
location of based on casual observations I believe that moss doses
grow on the north face of the Deer Valley amphitheater to great precision,
north determined by the North Star.
Procedure:
1. I took pictures of the Deer Valley amphitheater,
standing in the center of the amphitheater and slightly turning between
each picture creating a series of overlapping pictures covering the whole
amphitheater. Where I stood in the amphitheater, I made sure that I stood
in the same place on each take. The time of year, I took all of the pictures
on the same day. Sun imbalance, all these pictures were taken on a cloudy
day so the sun is guaranteed equal sun distribution throughout.
2. I put together a panoramic picture made of all
of the overlapping pictures by laying them all out on the table, finding
the points of overlap in each image, then taping the pictures together
to form the panoramic image.
3. I found the sections on the panoramic image using the lines in
the concrete as section borders, the lines are regularly spaced.
 |
4. I conducted density slices on NIH
image on a sectional basis. The sections are selected by
cropping out the sections in each image that is not within
the current section of interest. The density slice is done
by focusing on the dark range by sliding the assigned false
color minimum and maximum rating over shades of gray that
represent pixels within the pictures and thereby replacing
each shade of gray on the slider covered by the assigned
false color on the actual image with the assigned false color.
Creating a single color for a limited range of brightness
that can be measured by the image processor just by clicking
measure. This will measure the color generated by the density
slice.
This is an example of a density slice image creating a false
color for all the dark colors in the section.
|
5. I wrote results on a sectional basis using a table that could used
to make a graph.
Data Table: Here is the data. Moss
Count is the area, in pixels, of the moss (colored red using a density
slice)
in the picture.
| section |
Moss Count |
| 1 |
12385 |
| 2 |
13731 |
| 3 |
17579 |
| 4 |
18769 |
| 5 |
22762 |
| 6 |
21599 |
| 7 |
27079 |
| 8 |
34484 |
| 9 |
36192 |
| 10 |
57015 |
| 11 |
59345 |
| 12 |
56244 |
| 13 |
45192 |
| 14 |
53248 |
| 15 |
54257 |
| 16 |
61550 |
| 17 |
52223 |
| 18 |
59260 |
| 19 |
36630 |
| 20 |
41241 |
| 21 |
34118 |
| 22 |
25623 |
| 23 |
23186 |
| 24 |
15557 |
| 25 |
14663 |
Model:
6. I compared sectional data on a single graph
and estimate the equation, using the different variables in the sine
wave, sliding the number bar on each variable to match the curve with
my data points. The equation used to estimate the moss maximum is Asin(W
Section=Delta) =Yzero. Yzero is 36996, A is 26253, W is 0.251 and Delta
is 4.32. The curves maximum height is at section 13.99. the values ere
adjusted to make the model fit the data.
 |
This
is the graph that came out of my data. The dots on the graph
are data by section and the continuous line is the line of best
fit to the line of dots. Sections 6, 13, and 19 are sections
with steps in the way causing slight decline in moss count
|
7. I compared due north determined by Polaris versus
the hypothetical moss north using the picture with the celestial north
and the moss north on the panorama. Mr. Adkins moved around the edge
of the amphitheatre until the North
Star was directly over my head. This is what I call 'Real North.' Moss
North is where the maximum growth of moss was from my graph.
This image is my comparison image that I took with
celestial north in view and moss north in view. The Celestial north is
at section 10.75, that area of this image is labeled celestial north
and moss north is at 13.9 labeled moss north. The amphitheater has a
diameter of approximately 40 meters. Celestial north was identified by
lining up where I stood and the North Star (Polaris) at night by walking
around the amphitheater and finding that point. While walking around
I was constantly comparing the North Star and where I stood taking the
picture using a meter stick edge. That point would then become known
as celestial North.
Conclusion: Due to my or original
hypothesis being wrong I have a new hypothesis that the moss grows away
from the sun in the heat of the day. The heat of the day is generally
about late afternoon between 3:00 PM (15:00 HRS) to 4:00 PM (16:00 HRS).
To find this out I would have to find the local heat of the day using
Deer Valley High School’s own weather station. This topic bears
further investigation, which is surprising.
References:
Data analysis was performed on a Macintosh computer using the public
domain NIH Image program (developed at the U.S. National Institutes of
Health
and available on the Internet at http://rsb.info.nih.gov/nih-image/)".
Comment from teacher: Just for the record, the maintenance staff cleaned
the moss off of the amphitheatre a couple of days later as a part of
routine maintenance. Michael just happened to be ready to take pictures
at the right time--a couple of days later, and he couldn't have done
the project. We have a nice looking campus and the custodial and maintenance
staff do
a great
job
making
it look
nice
with
a staff
that is far too small for the workload. We appreciate them and wouldn't
want anyone to think we're pointing out a deficiency in their work. JA