File:Tesseract.ogv
Tesseract.ogv (file size: 2.84 MB, MIME type: application/ogg)
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Summary
DescriptionTesseract.ogv |
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. |
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 archive copy at the Wayback Machine 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
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Dimensions | User | Comment | |
---|---|---|---|---|
current | 09:05, 8 April 2010 | (2.84 MB) | imagescommonswiki>Jgmoxness | consistent w/anaglyph |
File usage
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- File:Tesseract.ogv from Wikimedia Commons
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