Page 14 - Abstract book - TJSSF-2020

Thailand – Japan Student Science Fair 2020 (TJ-SSF 2020)
“Seeding Innovations through Fostering Thailand – Japan Youth Friendship”

Oral and Poster Presentation

Section A : Mathematics

Calculating the parallels distances using a moiré patterns and a rotated
patterns

Nonnaphat Natpanyaporn , Ronnakon Nisaensat , Wasuphon Moonmanee
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Advisor: Phiphat Chuamuangphan
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Princess Chulabhorn Science High Shool Chiang Rai
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Abstract

Moiré pattern or Moiré fringes is the phenomenon that occurs when two parallel patterns of
parallel lines have the same width of a gap for each line. The pattern is superimposed, causing the light
to intervene which creates light and dark shaded areas. This phenomenon can be used to find the
number of lines in the parallel pattern by placing a different size of lunormeter on the threads that we
want to measure using the rotated pattern formula to calculate.

The condition of the rotated pattern formula is the parallel patterns have to have the same width
of a gap for each lines to create the moiré pattern and can conclude that the number of lines in a parallel
pattern are equal to the number of lines in the lunormeter .Lunormeters are expensive, so the creators
have an idea to apply the rotating pattern relativity formula by using the gap width fixed parallel
pattern to calculate the unknown width gap parallel pattern. From that, we’ll get

From testing the formula to calculate the parallel lines compared to the reality occurred
by the parallel lines with the frequency 50, 80 and 100 lines per 100 square centimeter and the angle
between two parallel patterns equal to 2.5, 5.0 and 7.5 degrees.
Have an error between the formula and the reality equal to 0.320033586 line.

Keywords: Moiré pattern, rotated pattern, and lunormeter.

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