JMBR wrote:... And an equivalent of sphenocorona may be possible. Starting with three cubes or triangular prisms around an edge and putting pyramids on the other faces creates a luna-like shape, which I don't know if it can be completed with tetrahedral coronae.
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Klitzing wrote:In fact, these are the first instances I'm aware of!
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o3o o3f f3x x3f f3o o3o
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o2f F2o f2F F2o o2f
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# 3,4-duoprism
<±1, 0, ±1, ±1>
< 0, √3, ±1, ±1>
# Augmentation with skew orientation.
<±1, -√2, 0, 0>
username5243 wrote:The octa-augmented ope ... would similarly not be convex, as in those the trip-trip dihedral angles are even larger.
quickfur wrote:Hmm. Is it possible to make a CRF out of a 3prism and a line perpendicular to the axis of the prism (i.e., parallel to one of the edges of a triangular face)? Topologically, at least, I can see it as having these cells: 2 triangular prisms, 1 tetrahedron, 2+2=4 square pyramids. But I'm not sure if it can be made CRF.
The reason I ask, is because this could potentially serve as an augment of a different kind that could be used for augmenting various polyhedral prisms, if it turns out to be CRF and have suitable dichoral angles for augmentation.
quickfur wrote:The next question is, can K4.8 be used for augmenting polyhedral prisms?
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