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.
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.orgarchive 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.
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{{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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