Snub penteract

The snub penteract or snan is a convex isogonal polyteron obtained through the process of alternating the great cellated penteractitriacontaditeron. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{24+9\sqrt2}{23}}$$ ≈ 1:1.26367.