# Picture of the Day

## Tesseract Projections

May 10, 2021 ―- Archive

License: Creative Commons Attribution 4.0 International License.

Here are four B_{4} Coxeter plane projections of a tesseract arranged in a square pattern. This image was created in the Nell SVG drawing language with the following lines of code (tesseract.nll):

```
l=1;
```

a = pi/2;

b = pi/4;

SQ : M(l) T(b);

P1 : M(l/sqrt(2)) S(SQ,8) M(l+l*sqrt(2)) S(SQ,8);

START : [S(P1,1)] P(0,l+l*sqrt(2)) [S(P1,1)];

The command line that created the svg image is:

`nell tesseract.nll START 3 | nellsvg 5 5 in 0.02 1 > tess.svg`

Authors:
Richard Hollos and
Stefan Hollos