File:E8 3D.png
Original file (1,577 × 1,533 pixels, file size: 3.98 MB, MIME type: image/png)
Captions
Summary
editDescriptionE8 3D.png |
English: Gosset 4_21 E8 Polytope projected into 3 space. There are 240 verticesand 6720 edges of 8D length Sqrt[2]. The inner and outer hull of the H4 600 Cell are clearly visible. |
Source | Own work |
Author | Jgmoxness |
Detail Description:
The specific basis vectors are:
- x = {1, φ, 0, -1, φ, 0,0,0}
- y = {φ, 0, 1, φ, 0, -1,0,0}
- z = {0, 1, φ, 0, -1, φ,0,0}
These are 3 of the 4 basis vectors which fold E8 to H4 and H4 Phi.
This is constructed from VisibLie_E8 found on TheoryOfEverything.org with the following settings:
(* This is an auto generated list from e8Flyer.nb *)
new := {
artPrint=True;
p3D=" 3D";
sliderVal=1.;
cylR=0.005;
scale=0.042;
range=1.7;
shwAxes=False;
limitToRange=False;
showEdges=True;
viewAngle=0.4;
selPrj="E8->H4";
vp=Join[xyVwPnt={1.11, 2.59},{zVwPnt=-1.86}];
};new;
Licensing
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- 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 |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 14:44, 10 October 2017 | 1,577 × 1,533 (3.98 MB) | Jgmoxness (talk | contribs) | Better projection | |
19:30, 19 February 2010 | 1,200 × 1,200 (3.9 MB) | Jgmoxness (talk | contribs) | {{Information |Description={{en|1=Gosset 4_21 E8 Polytope projected into 3 space using: X={0., -0.556793440452, 0.19694925177, -0.19694925177, 0.0805477263944, -0.385290876171, 0., 0.385290876171} Y={0.180913155536, 0., 0.160212955043, 0.160212955043, 0., |
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Horizontal resolution | 29.53 dpc |
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Vertical resolution | 29.53 dpc |
Software used | |
Date and time of digitizing |
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