Sophie 🎲🏳️⚧️Is a cube is more pointy than an octahedron?
Yes
No
Poll ended at .
Zrephel@Sophie I have a perfectly reasonable argument that it is, which I am yet emotionally unconvinced by. An octahedron feels intuitively pointier to me. Perhaps it's that cubes can be packed neatly into a flat surface, and a grid doesn't feel pointy.
@Zrephel interesting argument, “if it’s space-filling, then there’s no space left to put my hand in and get poked”
@Sophie I think also it's that I'm used to being cubes being axis aligned, in Minecraft-like worlds for example, and so a cube is made of "floors" and "walls". If you dual a cube to get an octahedron then the points stick out in the floor-and-wall directions. Likewise, an Egyptian pyramid feels pointier than a warehouse.