File:Tesseract.ogv

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Tesseract.ogv(Ogg Theora video file, length 36 s, 400 × 200 pixels, 662 kbps)

Summary

Description
English: Frame synchronized comparison of the 4D orthogonal projection (left) and 4D perspective projection (right) rotated in 4D then projected and displayed in a 3D perspective view.
Date
Source Own work
Author Jgmoxness

Detail Description:
It has 6 sets of rotations of 90 frames each. All of these rotate in steps through on the horizontal (H) projection vector. The 6 sets of H,V,Z projection basis vectors are: .

4D perspective projection is accomplished by dividing x,y,z vertex dimensions by w+1 after 4D rotation (but before projection to 3D).
This is constructed from VisibLie_E8 found on TheoryOfEverything.org with the following settings:
(* This is an auto generated list from e8Flyer.nb *)
new := {
scale = 0.1;
limitToRange = False;
cylR = 0.022;
favorite = 9;
showAxes = False;
showEdges = True;
eGrad = 0;
edgeVal = {1, 32};
edgeDimTrim = 4;
perspective = False;
nDcamera = 1;
range := nDcamera;
xyVwPnt = {0, 1};
zVwPnt = 1;
steps = 10;
pListName = "C4=4Cube";
p3D = " 3D";new;

Additional scripting within e8Flyer.nb to generate movie frames is also used.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons

attribution share alike

This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
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  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

Date/Time Thumbnail Dimensions User Comment
current 14:05, 8 April 2010 36 s, 400 × 200 (2.84 MB) Jgmoxness consistent w/anaglyph
14:26, 30 March 2010 36 s, 600 × 300 (3.39 MB) Jgmoxness improving the quality
20:57, 28 March 2010 30 s, 600 × 200 (2.03 MB) Jgmoxness again
20:27, 28 March 2010 15 s, 764 × 298 (1.67 MB) Jgmoxness cropped and slowed
20:24, 28 March 2010 15 s, 1,240 × 450 (4.21 MB) Jgmoxness cropped
18:51, 28 March 2010 15 s, 1,240 × 450 (4.21 MB) Jgmoxness got it !
19:17, 27 March 2010 8.0 s, 400 × 144 (445 KB) Jgmoxness {{Information |Description={{en|1=Comparison of the orthogonal and perspective view using 4 sets of rotations.}} |Source={{own}} |Author=Jgmoxness |Date= |Permission= |other_versions= }}
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