n-6-3 acrohedra




12-6-3
12-6-3
9-6-3
9-6-3

Rayne H. has in 2023 discovered an elegant and infinite family of n-6-3 acrohedra.  The construction varies slightly between even and odd values of n. Rayne's explanation of their construction is here.

The above construction includes coplanar faces.  These can be resolved by the excavation of tetrahedra from the coplanar triangles to form figures such as those above.

Figures can be generated for n=5 and all n>=7.  Models with n=3, n=4 and n=6 are degenerate.

Figures for n = 5  7  8  9  10  11  12  13  14  16  18

Whilst containing n-6-3 acrons, these figures are not the minimal acrohedra for any value of n.  For examples of minimal acrohedra see the acrohedra page.

 
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