4D Euclidean space


News Archive

[Later news]

Jun 2024

This month, we return to 3D and introduce the dual of the truncated icohedron:

The Pentakis Dodecahedron

This is the pentakis dodecahedron, a Catalan solid from the icosahedral family. Its surface consists of 60 isosceles triangles, 90 edges (60 short, 30 long), and 32 vertices. It has an edge length ratio of 12+3φ : 19. Check out more details at the pentakis dodecahedron page!

As usual we provide full algebraic coordinates.

May 2024

This month, we present a Catalan polychoron from the 24-cell family:

The Joined 24-cell

This is the joined 24-cell, the dual of the rectified 24-cell. Its surface consists of 96 triangular bipyramids, 288 isosceles triangles, 240 edges, and 48 vertices. Check out the joined 24-cell page for more details!

Full algebraic coordinates are provided, as usual.

Apr 2024

This month, we continue in 4D with another 4D Catalan polychoron:

The Joined 16-cell

This is the joined 16-cell, the dual polytope to the rectified tesseract. This pretty polychoron is bounded by 32 triangular bipyramids, 96 isosceles triangles, 88 edges, and 24 vertices.

Find out more on the joined 16-cell page! As is customary the full Cartesian coordinates are available.

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Last updated 28 Oct 2024.

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