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Quiz about Exploring the Fourth Dimension
Quiz about Exploring the Fourth Dimension

Exploring the Fourth Dimension Quiz


This quiz will test your overall knowledge on the mysterious phenomenon known as the fourth dimension.

A multiple-choice quiz by nat_fohawk. Estimated time: 4 mins.
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Author
nat_fohawk
Time
4 mins
Type
Multiple Choice
Quiz #
312,998
Updated
Dec 03 21
# Qns
10
Difficulty
Tough
Avg Score
5 / 10
Plays
723
- -
Question 1 of 10
1. Space outside of our regular third dimension is known as what type of space? Hint


Question 2 of 10
2. A fourth dimension hypercube is known as a what? Hint


Question 3 of 10
3. The term for a fourth dimension hypercube was established by whom? Hint


Question 4 of 10
4. A book written by Edwin Abbott Abbott is used to explain the fourth dimension in the form of a satire. What was this book called? Hint


Question 5 of 10
5. What would be the formula for the surface volume of a fourth dimension hypersphere? Hint


Question 6 of 10
6. Can "Einstein's Theory of Special Relativity" be used to aid in fourth dimension mathematics?


Question 7 of 10
7. Which of the following is NOT a graphic hypercube representation? Hint


Question 8 of 10
8. The set of fourth dimension directions are generally known as what? Hint


Question 9 of 10
9. A fourth dimension figure will cast a second dimension shadow.


Question 10 of 10
10. Spacetime is the mathematical variable that combines both space and time into one single continuum.



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Quiz Answer Key and Fun Facts
1. Space outside of our regular third dimension is known as what type of space?

Answer: Euclidean

If we were speaking of time-space, the answer would be Minkowski space. Spatial dimensions are different from space-time theory.
Our third dimension is composed of length, width, and depth. The fourth dimension is believed to have another inexplicable dimension. There are therefore FOUR dimensions.
2. A fourth dimension hypercube is known as a what?

Answer: Tesseract

A hypercube is a figure used to describe the space in other dimensions. The hyperspace in the fourth dimension is impossible to describe due to the limitations of our own dimensions. The fourth dimension can only be understood as an abstract.
3. The term for a fourth dimension hypercube was established by whom?

Answer: Charles Hinton

Charles Hinton (1853 - 1907) coined the term "tesseract" in the Dublin University magazine in 1880. Hinton was a British mathematician who also wrote science fiction pieces.
4. A book written by Edwin Abbott Abbott is used to explain the fourth dimension in the form of a satire. What was this book called?

Answer: "Flatland: A Romance of Many Dimensions"

Flatland was written in 1884. It is about a two dimensional world in which men are polygons and women are line segments. The narrator, A. Square, is then visited by a three dimensional sphere but does not understand it due to his dimensional limitations.
Since then, numerous imitations have been created including "Sphereland" by Dionys Burger.
5. What would be the formula for the surface volume of a fourth dimension hypersphere?

Answer: 2(π^2)(r^3)

Most people tend to use an incorrect formula. This is because they usually add or multiply the formulas for circumference (2πr) and surface area (4π(r^2)) improperly. The accepted formula for the surface volume of a fourth dimension hypersphere (2(π^2)(r^3)) has been rigorously tested.
6. Can "Einstein's Theory of Special Relativity" be used to aid in fourth dimension mathematics?

Answer: Yes

Special relativity is generally the theory of measurement in inertial frames of reference. Special relativity has also been extended to spacetime. The equations of fourth dimension spacetime are written in Lorentz covariant form. The four variables used are (ct, x, y, z).
7. Which of the following is NOT a graphic hypercube representation?

Answer: Polygraphic projection

Polygraphic projection is not a demonstration of a hypercube.
The Schlegel and Hasse diagrams are both 2D representations. The Stereographic projection has 3rd dimension edges. Diagrams can be seen here:

Schlegel: http://wpcontent.answers.com/wikipedia/commons/thumb/a/a2/Schlegel_wireframe_8-cell.png/240px-Schlegel_wireframe_8-cell.png

Hasse: http://farm3.static.flickr.com/2025/2254800793_6fde4a7587_m.jpg

Stereographic: http://math.ucr.edu/home/baez/Stereographic_polytope_8cell.png
8. The set of fourth dimension directions are generally known as what?

Answer: ana/ kata

In the third dimension, we have the limitations of up/down, left/right, and forwards backwards. In the fourth dimension, the directions of ana/kata are added. Note: these are attested terms. They cannot be taken formally.
9. A fourth dimension figure will cast a second dimension shadow.

Answer: False

It will cast a third dimension shadow. A parallel example to this is how a third dimension object will cast a second dimension shadow. This is due to the lighting phenomenon which exists differently in other dimensions.
10. Spacetime is the mathematical variable that combines both space and time into one single continuum.

Answer: True

Spacetime is shown by the variable ct. Because of the fusion between space and time, one can therefore say that in the fourth dimension, you can theoretically walk through walls, be in two places at once, and move into a new type of space not otherwise possible. We have mathematics and quantum physics to thank for all of this.
Source: Author nat_fohawk

This quiz was reviewed by FunTrivia editor crisw before going online.
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