10 Questions
| Total Attempts: 104

Questions and Answers

- 1.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?
- 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?
- A.
S. Murata

- B.
B. Jurtala

- C.
Jan Nelson

- D.
Robert Oneil

- 4.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?
- 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?
- 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?
- 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?
- A.
Jacques Justin

- B.
Hull Thomas

- C.
Takahama Inoshi

- D.
Craig Edwards

- 9.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?
- A.
Angle wideness of origami models

- B.
Crease regions in origami models

- C.
Fold number in origami models

- D.
Flat-foldability of origami models