What Do You Know About Maekawa's Theorem?
In mathematics, Maekawa's theorem is a theorem used in the mathematics of paper folding. It basically involves flat-foldable origami crease patterns that are determined by a variation of valley-creases and mountain-creases. Maekawa's theorem states that the numbers of mountain folds and valleys always differ by two at every vertex—no matter the direction.
- 1.
![Which aspect of mathematics is Maekawa theorem relevant. - ProProfs]( "Which aspect of mathematics is Maekawa theorem relevant.")
Which aspect of mathematics is Maekawa theorem relevant.- A.
Mathematics of setting cubes
- B.
Mathematics of folding paper
- C.
Mathematics of wave movement
- D.
Mathematics of scalar surfaces
- 2.
![What does Maekawa's theorem propose that the total number of folds at each vertex must be? - ProProfs]( "What does Maekawa's theorem propose that the total number of folds at each vertex must be?")
What does Maekawa's theorem propose that the total number of folds at each vertex must be?- A.
An odd number
- B.
A decimal number
- C.
An even number
- D.
Half of the angle
- 3.
![Who discovered this theorem before Maekawa worked on it? - ProProfs]( "Who discovered this theorem before Maekawa worked on it?")
Who discovered this theorem before Maekawa worked on it?- A.
S. Murata
- B.
B. Jurtala
- C.
Jan Nelson
- D.
Robert Oneil
- 4.
![What is one major flaw of this theorem? - ProProfs]( "What is one major flaw of this theorem?")
What is one major flaw of this theorem?- A.
It does not completely characterize the flat-foldable vertices
- B.
It shows only the angles of the vertical cortex
- C.
It is only applicable to folds greater than 180 degrees
- D.
The theorem is mutually exclusive to angles of a straight shape
- 5.
![When utilizing Maekawa's theorem, which one of the following is applicable at every vertex? - ProProfs]( "When utilizing Maekawa's theorem, which one of the following is applicable at every vertex?")
When utilizing Maekawa's theorem, which one of the following is applicable at every vertex?- A.
The number of mountain folds is the same in either direction
- B.
The number of valley and mountain folds is always the same in either direction
- C.
The numbers of valley and mountain folds always differ by two in either direction
- D.
The number of valley fold is the same in both directions of the vertex
- 6.
![Which of the following is applicable when using Maekawa's theorem for a flat-foldable crease pattern? - ProProfs]( "Which of the following is applicable when using Maekawa's theorem for a flat-foldable crease pattern?")
Which of the following is applicable when using Maekawa's theorem for a flat-foldable crease pattern?- A.
It is not possible to color the regions of the creases
- B.
It is always possible to color the regions between the creases with two colors, such that each crease separates regions of differing colors
- C.
Each crease seperates the regions into 5 different colours
- D.
It is not possible to color the region creases with two colors but each crease can still be separated to regions of differing colors
- 7.
![Which of these theorems is related to Maekawa's theorem? - ProProfs]( "Which of these theorems is related to Maekawa's theorem?")
Which of these theorems is related to Maekawa's theorem?- A.
Origami Theorem
- B.
Kawasaki Theorem
- C.
Murata Theorem
- D.
Vannelson Theorem
- 8.
![Which of these scientists used the theorem with the same results in the same year it was discovered? - ProProfs]( "Which of these scientists used the theorem with the same results in the same year it was discovered?")
Which of these scientists used the theorem with the same results in the same year it was discovered?- A.
Jacques Justin
- B.
Hull Thomas
- C.
Takahama Inoshi
- D.
Craig Edwards
- 9.
![In which mathematical publication was Maekawa's theorem first proposed? - ProProfs]( "In which mathematical publication was Maekawa's theorem first proposed?")
In which mathematical publication was Maekawa's theorem first proposed?- A.
Theorem of Wide Angles
- B.
Viva Origami
- C.
Theories of Origami Design
- D.
Mathematical Modeling Based on Origami Design
- 10.
![Which mathematical problem prompted Jun Maekawa to design the Maekawa's theorem? - ProProfs]( "Which mathematical problem prompted Jun Maekawa to design the Maekawa's theorem?")
Which mathematical problem prompted Jun Maekawa to design the Maekawa's theorem?- A.
Angle wideness of origami models
- B.
Crease regions in origami models
- C.
Fold number in origami models
- D.
Flat-foldability of origami models
Questions: 12 | Attempts: 5564123 | Last updated: Jun 15, 2021
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