In 5-dimensional geometry, there are 19 uniform polytopes with A_{5} symmetry. There is one self-dual regular form, the 5-simplex with 6 vertices.

Each can be visualized as symmetric orthographic projections in Coxeter planes of the A_{5} Coxeter group, and other subgroups.

Symmetric orthographic projections of these 19 polytopes can be made in the A_{5}, A_{4}, A_{3}, A_{2} Coxeter planes. A_{k} graphs have *[k+1]* symmetry. For even k and symmetrically nodea_1ed-diagrams, symmetry doubles to *[2(k+1)]*.

These 19 polytopes are each shown in these 4 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position.