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

Introduction page - 12/23/2003

I rewrote the introduction to the fourth dimension, and changed one of the images. The page is now quite a lot different. Next up for revision is the page "From the 2nd dimension to the 3rd dimension". 

Fourth Dimension Glossary, part 4 - 12/8/2003

I made a number of changes to the fourth dimension glossary to fix errors that Polyhedron Dude pointed out, plus added some new words, bringing the total number of words from 102 to 106. Here are the changes:

  • added to the definitions of latitude, longitude, laptitude
  • added the words vertex, edge, face; corrected cell definition, renamed tetron -> teron
  • duocylinder no longer called a hypercylinder
  • corrected the tesseract definition
  • added the words perimeter and surface; corrected surcell definition
  • added to the definitions of hole, chasm, gully
  • added polyteron

Fourth Dimension Glossary, part 3 - 12/4/2003

I changed the terms tridth/tride/trin to trength/trong/tarrow. This is because the tridth series is potentially confusing - it contains the root "tri-" but it is a measure of the fourth dimension, not the third. 

See Old News

 

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

 

Fourth Dimension: Tetraspace originally started 2/18/2000. hits since June 2002.
Contact email: e-mail me about the fourth dimension
This website, Fourth Dimension: Tetraspace, is copyright 2000-2003 by Garrett Jones

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