Editing List of mathematical shapes (section)

===Regular and uniform compound polyhedra===
;[[Polyhedral compound]] and [[Uniform polyhedron compound]]
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*[[Compound of cube and octahedron]]
*[[Compound of dodecahedron and icosahedron]]
*[[Compound of eight octahedra with rotational freedom]]
*[[Compound of eight triangular prisms]]
*[[Compound of five cubes]]
*[[Compound of five cuboctahedra]]
*[[Compound of five cubohemioctahedra]]
*[[Compound of five great cubicuboctahedra]]
*[[Compound of five great dodecahedra]]
*[[Compound of five great icosahedra]]
*[[Compound of five great rhombihexahedra]]
*[[Compound of five icosahedra]]
*[[Compound of five octahedra]]
*[[Compound of five octahemioctahedra]]
*[[Compound of five small cubicuboctahedra]]
*[[Compound of five small rhombicuboctahedra]]
*[[Compound of five small rhombihexahedra]]
*[[Compound of five small stellated dodecahedra]]
*[[Compound of five stellated truncated cubes]]
*[[Compound of five tetrahedra]]
*[[Compound of five tetrahemihexahedra]]
*[[Compound of five truncated cubes]]
*[[Compound of five truncated tetrahedra]]
*[[Compound of five uniform great rhombicuboctahedra]]
*[[Compound of four hexagonal prisms]]
*[[Compound of four octahedra]]
*[[Compound of four octahedra with rotational freedom]]
*[[Compound of four tetrahedra]]
*[[Compound of four triangular prisms]]
*[[Compound of great icosahedron and great stellated dodecahedron]]
*[[Compound of six cubes with rotational freedom]]
*[[Compound of six decagonal prisms]]
*[[Compound of six decagrammic prisms]]
*[[Compound of six pentagonal prisms]]
*Compound of six pentagrammic crossed antiprisms
*[[Compound of six pentagrammic prisms]]
*[[Compound of six tetrahedra]]
*[[Compound of six tetrahedra with rotational freedom]]
*[[Compound of small stellated dodecahedron and great dodecahedron]]
*[[Compound of ten hexagonal prisms]]
*[[Compound of ten octahedra]]
*[[Compound of ten tetrahedra]]
*[[Compound of ten triangular prisms]]
*[[Compound of ten truncated tetrahedra]]
*[[Compound of three cubes]]
*[[Compound of three tetrahedra]]
*[[Compound of twelve pentagonal antiprisms with rotational freedom]]
*[[Compound of twelve pentagonal prisms]]
*[[Compound of twelve pentagrammic prisms]]
*[[Compound of twelve tetrahedra with rotational freedom]]
*[[Compound of twenty octahedra]]
*[[Compound of twenty octahedra with rotational freedom]]
*[[Compound of twenty tetrahemihexahedra]]
*[[Compound of twenty triangular prisms]]
*[[Compound of two great dodecahedra]]
*[[Compound of two great icosahedra]]
*[[Compound of two great inverted snub icosidodecahedra]]
*[[Compound of two great retrosnub icosidodecahedra]]
*[[Compound of two great snub icosidodecahedra]]
*[[Compound of two icosahedra]]
*[[Compound of two inverted snub dodecadodecahedra]]
*[[Compound of two small stellated dodecahedra]]
*[[Compound of two snub cubes]]
*[[Compound of two snub dodecadodecahedra]]
*[[Compound of two snub dodecahedra]]
*[[Compound of two snub icosidodecadodecahedra]]
*[[Compound of two truncated tetrahedra]]
*[[Prismatic compound of antiprisms]]
*[[Prismatic compound of antiprisms with rotational freedom]]
*[[Prismatic compound of prisms]]
*[[Prismatic compound of prisms with rotational freedom]]
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*[[4-polytope]]
**[[Hecatonicosachoron]]
**[[Hexacosichoron]]
**[[Hexadecachoron]]
**[[Icositetrachoron]]
**[[Pentachoron]]
**[[Tesseract]]
*[[Hypercone]]
;Convex [[regular 4-polytope]]
*[[5-cell]], [[Tesseract]], [[16-cell]], [[24-cell]], [[120-cell]], [[600-cell]]

;[[Abstract regular polytope]]
*[[11-cell]], [[57-cell]]

;[[regular 4-polytope|Schläfli–Hess 4-polytope]] (Regular star 4-polytope)
*[[Icosahedral 120-cell]], [[Small stellated 120-cell]], [[Great 120-cell]], [[Grand 120-cell]], [[Great stellated 120-cell]], [[Grand stellated 120-cell]], [[Great grand 120-cell]], [[Great icosahedral 120-cell]], [[Grand 600-cell]], [[Great grand stellated 120-cell]]

;[[Uniform 4-polytope]]
*[[Rectified 5-cell]], [[Truncated 5-cell]], [[Cantellated 5-cell]], [[Runcinated 5-cell]]
*[[Rectified tesseract]], [[Truncated tesseract]], [[Cantellated tesseract]], [[Runcinated tesseract]]
*[[Rectified 16-cell]], [[Truncated 16-cell]]
*[[Rectified 24-cell]], [[Truncated 24-cell]], [[Cantellated 24-cell]], [[Runcinated 24-cell]], [[Snub 24-cell]]
*[[Rectified 120-cell]], [[Truncated 120-cell]], [[Cantellated 120-cell]], [[Runcinated 120-cell]]
*[[Rectified 600-cell]], [[Truncated 600-cell]], [[Cantellated 600-cell]]

;[[Prismatic uniform polychoron]]
*[[Grand antiprism]]
*[[Duoprism]]
*[[Tetrahedral prism]], [[Truncated tetrahedral prism]]
*[[Truncated cubic prism]], [[Truncated octahedral prism]], [[Cuboctahedral prism]], [[Rhombicuboctahedral prism]], [[Truncated cuboctahedral prism]], [[Snub cubic prism]]
*[[Truncated dodecahedral prism]], [[Truncated icosahedral prism]], [[Icosidodecahedral prism]], [[Rhombicosidodecahedral prism]], [[Truncated icosidodecahedral prism]], [[Snub dodecahedral prism]]
*[[Uniform antiprismatic prism]]