Dürer's Solid (60°)

thingiverse

As you explore Dürer's intriguing creation, consider visiting the pages on Melencolia I and Truncated Triangular Trapezohedron for a more in-depth understanding. Mathworld offers additional insights into the precise nature of this enigmatic solid. A notable disparity arises regarding its specific shape; most agree that the angle of the rhomboid face falls within 72° to 82°, while some definitions differ slightly from this established range. To refine Dürer's Solid and elevate it to new heights of beauty, one might propose using an angle of 60°. This adjustment yields a geometric entity comprising nothing but equilateral triangles. By directly comparing 'flat pack' versions of these two shapes, we can clearly appreciate their visual contrast. The 60° version, however, presents a challenge when seeking alignment with the artwork in Melencolia I. Nonetheless, this 'purer' solid deserves recognition. How would the renowned Albrecht Dürer perceive this refined creation? You can scale your own customized rendition of this shape using our intuitive Customizer feature to achieve the desired size. To witness an even more captivating comparison, observe my alternative representation of Dürer's Solid, constructed around a 72° angle.