This demo graphically shows the *n*-th element (modulo 512) of 512 simplicial sequences side by side.
Simplicial sequences generalize the
familiar "linear", "triangular", and "tetrahedral" number sequences. A line segment is a 1-simplex,
a triangle is a 2-simplex,
a tetrahedron is a 3-simplex, and so on.

In general, the *n*-th *d*-simplicial number is **C**(*n+d-1*,*d*).

The white dots in a given frame have coordinates (*d*,**C**(*n+d-1*,*d*) mod 512),
where *d* runs from 0 through to 511, and the value of *n* is
displayed at the bottom of the diagram.

You can increment *n* one value at a time by using the Step button.

Use the Run button to let *n* advance automatically.

Use the Reset button to reset the sequences.

Save a picture in your browser with the Save Image button. Then download the picture if you want.