Hendecagonal ditetragoltriate

The hendecagonal ditetragoltriate or hendet is a convex isogonal polychoron and the ninth member of the ditetragoltriate faimly. It consists of 22 hendecagonal prisms and 121 rectangular trapezoprisms. 2 hendecagonal prisms and 4 retangular trapezoprisms join at each vertex. However, it cannot be made uniform. It is the first in an infinite family of isogonal hendecagonal prismatic swirlchora.

It can be obtained as the convex hull of 2 similarly oriented semi-uniform hendecagonal duoprisms, one with a larger xy hendecagon and the other with a larger zw hendecagon.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$1+{\sin\frac{\pi}{11}}\sqrt{2}$$ ≈ 1:1.39843. This value is also the ratio between the two squares of the two semi-uniform duoprisms.