Convex uniform polychora

The 47 convex uniform polychora are the four-dimensional shapes whose cells are all uniform polyhedra and which look the same from every vertex. Each page shows a picture of the shape and counts its vertices, edges, faces and cells, and every shape can be opened in the 4D Viewer.

Regular

Pentachoron Pentachoron Tesseract Tesseract Hexadecachoron Hexadecachoron Icositetrachoron Icositetrachoron Hecatonicosachoron Hecatonicosachoron Hexacosichoron Hexacosichoron

Rectified

Rectified Pentachoron Rectified Pentachoron Rectified Tesseract Rectified Tesseract Rectified Icositetrachoron Rectified Icositetrachoron Rectified Hecatonicosachoron Rectified Hecatonicosachoron Rectified Hexacosichoron Rectified Hexacosichoron

Truncated

Truncated Pentachoron Truncated Pentachoron Truncated Tesseract Truncated Tesseract Truncated Hexadecachoron Truncated Hexadecachoron Truncated Icositetrachoron Truncated Icositetrachoron Truncated Hecatonicosachoron Truncated Hecatonicosachoron Truncated Hexacosichoron Truncated Hexacosichoron

Bitruncated

Bitruncated Pentachoron Bitruncated Pentachoron Bitruncated Tesseract Bitruncated Tesseract Bitruncated Icositetrachoron Bitruncated Icositetrachoron Bitruncated Hecatonicosachoron Bitruncated Hecatonicosachoron

Cantellated

Cantellated Pentachoron Cantellated Pentachoron Cantellated Tesseract Cantellated Tesseract Cantellated Icositetrachoron Cantellated Icositetrachoron Cantellated Hecatonicosachoron Cantellated Hecatonicosachoron Cantellated Hexacosichoron Cantellated Hexacosichoron

Cantitruncated

Cantitruncated Pentachoron Cantitruncated Pentachoron Cantitruncated Tesseract Cantitruncated Tesseract Cantitruncated Icositetrachoron Cantitruncated Icositetrachoron Cantitruncated Hecatonicosachoron Cantitruncated Hecatonicosachoron Cantitruncated Hexacosichoron Cantitruncated Hexacosichoron

Runcinated

Runcinated Pentachoron Runcinated Pentachoron Runcinated Tesseract Runcinated Tesseract Runcinated Icositetrachoron Runcinated Icositetrachoron Runcinated Hecatonicosachoron Runcinated Hecatonicosachoron

Runcitruncated

Runcitruncated Pentachoron Runcitruncated Pentachoron Runcitruncated Tesseract Runcitruncated Tesseract Runcitruncated Hexadecachoron Runcitruncated Hexadecachoron Runcitruncated Icositetrachoron Runcitruncated Icositetrachoron Runcitruncated Hecatonicosachoron Runcitruncated Hecatonicosachoron Runcitruncated Hexacosichoron Runcitruncated Hexacosichoron

Omnitruncated

Omnitruncated Pentachoron Omnitruncated Pentachoron Omnitruncated Tesseract Omnitruncated Tesseract Omnitruncated Icositetrachoron Omnitruncated Icositetrachoron Omnitruncated Hecatonicosachoron Omnitruncated Hecatonicosachoron

Other

Snub Icositetrachoron Snub Icositetrachoron Grand antiprism Grand antiprism