Images
| Coxeter plane | F4 | B4 |
|---|---|---|
| Graph | ||
| Dihedral symmetry | + | |
| Coxeter plane | D4 / B3 / A2 | B2 / A3 |
| Graph | ||
| Dihedral symmetry | + |
| Perspective projections | |
|---|---|
Perspective projection centered on an icosahedral cell, with 4D viewpoint placed at a distance of 5 times the vertex-center radius. The nearest icosahedral cell is rendered in solid color, and the other cells are in edge-outline. Cells facing away from the 4D viewpoint are culled, to reduce visual clutter. |
The same projection, now with 4 of the 8 icosahedral cells surrounding the central cell shown in green. |
The same projection as above, now with the other 4 icosahedral cells surrounding the central cell shown in magenta. The animated version of this image gives a good view on the layout of these cells. From this particular viewpoint, one of the gaps containing tetrahedral cells can be seen. Each of these gaps are filled by 5 tetrahedral cells, not shown here. |
Same projection as above, now with the central tetrahedral cell in the gap filled in. This tetrahedral cell is joined to 4 other tetrahedral cells, two of which fills the two gaps visible in this image. The other two each lies between a green tetrahedral cell, a magenta cell, and the central cell, to the left and right of the yellow tetrahedral cell. Note that in these images, cells facing away from the 4D viewpoint have been culled; hence there are only a total of 1 + 8 + 6 + 24 = 39 cells accounted for here. The other cells lie on the other side of the snub 24-cell. Part of the edge outline of one of them, an icosahedral cell, can be discerned here, overlying the yellow tetrahedron. |
In this image, only the nearest icosahedral cell and the 6 yellow tetrahedral cells from the previous image are shown. |
Now the 12 tetrahedral cells joined to the central icosahedral cell and the 6 yellow tetrahedral cells are shown. Each of these cells is surrounded by the central icosahedron and two of the other icosahedral cells shown earlier. |
Finally, the other 12 tetrahedral cells joined to the 6 yellow tetrahedral cells are shown here. These cells, together with the 8 icosahedral cells shown earlier, comprise all the cells that share at least 1 vertex with the central cell. |
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Read more about this topic: Snub 24-cell
Famous quotes containing the word images:
“What images are these
That turn dull-eyed away,
Or shift Time’s filthy load,
Straighten aged knees,
Hesitate or stay?
What heads shake or nod?”
—William Butler Yeats (1865–1939)
“As individuals and as a nation, we now suffer from social narcissism. The beloved Echo of our ancestors, the virgin America, has been abandoned. We have fallen in love with our own image, with images of our making, which turn out to be images of ourselves.”
—Daniel J. Boorstin (b. 1914)
“TV gives everyone an image, but radio gives birth to a million images in a million brains.”
—Peggy Noonan (b. 1950)