Two-orbit polytope

A two-orbit polytope is a polytope with exactly two types of flags. All Coexter-def quasiregulars are either regulars or two-orbits, and the regular ones can be made into two-orbits by two-coloring the facets in a certain way, like for example the octahedron can be two-colored to make the tetratetrahedron, a two-orbit. Hypercubic honeycombs can be vertex two-colored or facet two-colored to turn it into a two-orbit. All 2D semiunifoms are two-orbits, and so are their duals. Not all regulars can be turned into a two-orbit by coloring them, only alternatable ones or their duals can be.

All demicrosses are two-orbits, and all orthoplexes and hypercubic honeycombs can be facet two-colored to make two-orbits. Hypercubes and the hypercubic honeycombs they make up can be vertex two-colored to make two-orbits.

Here is a list, including colorings

2D
All of the semi-uniforms, along with their duals

3D
All rectified regular polyhedra except the octahedron

The Trihexagonal tiling

The Ditrigonary triangular-hemiapeirogonal tiling

The Hexagonal-hemiapeirogonal tiling

The Square-hemiapeirogonal tiling

The Triangular-hemiapeirogonal tiling

All uniform hemipolyhedra except gidrid and gidisdrid

All non-compound uniform polyhedra in sidtid's regiment

The duals of the previously mentioned polyhedra

The tetratetrahedron

The cube vertex two-colored such that the vertices that are each color each make tetrahedra

The hexagonal tiling tiling two-colored such that the vertices that are each color each make triangular tilings

The square tiling tiling two-colored such that the vertices that are each color each make square tilings

The square tiling tiling two-colored such that the color of the faces alternate around a vertex

The triangular tiling tiling two-colored such that the color of the faces alternate around a vertex

The noble two-orbits ditti, the square tiling stretched so that the squares become rectangles, and the square tiling stretched so that the squares become rhombi

4D
Sidtixhi, dittady, and gidtixhi

The Tesseractihemioctachoron

The Tetrahedral-octahedral honeycomb

The Cubihemisquare honeycomb

The Octahemitriangular honeycomb

The Tetrahemitriangular honeycomb

The duals of the previously mentioned polyhedra

Idhi and its dual

The cubic honeycomb two-colored such that the vertices that are each color each make alternated cubic honeycombs

The cubic honeycomb two-colored such that the color of the cells alternate around an edge

The hexadecachoron two-colored such that the color of the cells alternate around an edge

The tesseract vertex two-colored such that the vertices that are each color each make hexadecachora

5D+
The hypercubic honeycomb two-colored such that the vertices that are each color each make alternated hypercubic honeycombs

The hypercubic honeycomb two-colored such that the color of the facets alternate around a peak

The orthoplex two-colored such that the color of the facets alternate around a peak

The hypercube two-colored such that the vertices that are each color each make demicubes

The demicross and its dual

The extension of the Square-hemiapeirogonal tiling and the Cubihemisquare honeycomb and it's dual