4D Euclidean space

News Archive

May 2019

This month we bring you the smaller cousin of last's month Polytope of the Month. In fact, it's the Stott-contraction of the latter, a CRF polychoron called the deca-augmented 5,10 duoprism.

The decaaugmented

The primary point of interest in this polychoron is its surface that contains 10 pentagonal bipyramids (J13), formed by the pairs of pentagonal pyramid cells of each pair of adjacent augments lying on the same hyperplane and merging into bipyramids. Its other cells are 5 decagonal prisms and 50 square pyramids.

Find out more about this interesting polytope by visiting the deca-augmented 5,10-duoprism page, where we also provide the full Cartesian coordinates, as is customary.

Apr 2019

This month, we bring you an interesting CRF polychoron that sports elongated pentagonal bipyramids (J16) and icosagonal prisms as cells:

The decaaugmented

This is the decaaugmented 5,20-duoprism, an augmentation of the 5,20-duoprism with 10 pentagonal prism pyramids. Due to the angle between the pentagonal pyramid and pentagonal prism cells in the latter, the pentagonal pyramids are coplanar with the adjacent pentagonal prisms on the 5,20-duoprism, causing them to merge into 10 elongated pentagonal bipyramids (J16).

Visit the decaaugmented 5,20-duoprism page for more details about this fascinating polytope, including its full algebraic coordinates.

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Last updated 03 Jun 2019.

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