Original sentence: A 3D projection of a 5-cell performing a double rotation about two orthogonal planes.Four orthographic projections, showing various viewpoints of the pentatope.One of the possible projections of the pentachoron into 2 dimensions is the pentagram inscribed inside a pentagon, as seen here in its orthogonal projection inside its Petrie polygon.Stereographic projection wireframe (edge projected onto a 3-sphere).The cell-first projection of the pentachoron into 3 dimensions has a tetrahedral envelope.The edge-first projection of the pentachoron into 3 dimensions has a triangular dipyramidal envelope.The face-first projection of the pentachoron into 3 dimensions also has a triangular dipyramidal envelope.The vertex-first projection of the pentachoron into 3 dimensions has a tetrahedral projection envelope
Edited sentence: 240pxFour orthographic projections, showing various viewpoints of the pentatope.240pxOne of the possible projections of the pentachoron into 2 dimensions is the pentagram inscribed inside a pentagon, as seen here in its orthogonal projection inside its Petrie polygon.240pxStereographic projection wireframe (edge projected onto a 3-sphere).320pxThe cell-first projection of the pentachoron into 3 dimensions has a tetrahedral envelope.320pxThe edge-first projection of the pentachoron into 3 dimensions has a triangular dipyramidal envelope.320pxThe face-first projection of the pentachoron into 3 dimensions also has a triangular dipyramidal envelope.320pxThe vertex-first projection of the pentachoron into 3 dimensions has a tetrahedral projection envelope.Image:5-cell.gifA 3D projection of a 5-cell performing a double rotation about two orthogonal planes