Fourth Dimension: Tetraspace

Speculations on the 4th dimension

The universe that we live in has only three spatial dimensions. We are limited to length, width, and height, and we can only travel along three perpendicular paths. This page attempts to explain the properties of a hypothetical universe with a spatial fourth dimension. While people generally call time the 4th dimension in the universe we live in, time will be the 5th dimension in my hypothetical universe. 

Many fascinating possibilities exist when a spatial fourth dimension is present. Several types of wheels are possible, very complex machines can be built, and many more shapes are possible. Objects can pass by each other more easily, but they are harder to break into multiple pieces. Energy reduces much faster with distance than in the 3rd dimension, so both light and sound are weaker. Much more things can be compacted into a small space, but its much easier to get lost. In this page, I will explore these and many other interesting properties of the fourth dimension. To get started learning about the fourth dimension, go to the introduction. 

Site Index

[ Introduction ]
Introduction (12/23/2003) - Introduces the concept of the 4th dimension.

[ The adventures of Fred, Bob and Emily ]
From the 2nd to the 3rd dimension (1/13/2003) - Bob, who lives in the 3rd dimension, interacts with Fred, who lives in the 2nd dimension.
From the 3rd to the 4th dimension (1/19/2003) - Emily, who lives in the 4th dimension, interacts with Bob.
Rotation (1/19/2003) - Explains the properties of rotation the different dimensions.
Flatness and Levitation (1/18/2003) - How objects from one dimension look in other dimensions.

[ The world ]
Wheels in the different dimensions (1/19/2003) - Introduces the properties of wheels and tires from the 2nd to the 4th dimension.
War in the dimensions (6/03/2001) - How war would work in the 2nd, 3rd, and 4th dimension.
Bodies of water (6/03/2001) - Lakes, rivers, and other bodies of water.

[ Higher dimensional shapes ]  
Index of higher dimensional shapes
Rotatope properties (3/16/2003) - Properties of round shapes from the fourth dimension.
Rotatope classification (3/16/2003) - Several classification schemes for round shapes from the fourth dimension.
Shape Intersection Applet (2/23/2003) - Shows the intersection of shapes from the fourth dimension with lower-dimensional shapes.
Shape formulas (3/14/2003) - Face, volume, and rotation formulas.
Polyhedra (2/22/2003) - The regular three-dimensional solids. 

[ Other fourth dimension topics ]
The confusion of dimension terms (1/16/2004) - Discusses the confusion between terms of the 4th dimension like hypercube and tesseract.
Fourth Dimension search terms (10/25/2003) - Search terms that one can use when searching for pages on the fourth dimension.
Time vs spatial 4th dimension (2/11/2003) - Discusses the debate between the 4th dimension being time or being spatial.
Book Reviews (2/26/2003) - Reviews on books about the fourth dimension.
Fourth Dimension Glossary (12/8/2003: 108 words total) - Terms relating to the fourth dimension.
Fourth Dimension Links (10/25/2003) - Links to other sites about the fourth dimension.
Old News

[ Discussion ]
fourth dimension forum (11/3/2003)

Updates

Site finally moved over.

Since the forum and wiki were moved over months/years ago, I decided it was finally time to move over the static site too. At the same time, all parts of HDDB have been relocated into one area of the TI website. This will make it much easier when it comes time to merge all the content together into the wiki.

All pages that were moved already redirect to their new locations. There won't be any broken links.

I also aim to update these pages (or at least the front page) to valid XHTML and CSS, and make it look a bit nicer.

Obviously, I take no credit for the content of this site - it's still © 2000-2003 Garrett Jones.

See Old News

To begin learning about the 4th dimension, go to the introduction.

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