Dessa är ordets examples relaterade till octahedron. Klicka på valfritt ord för att gå till dess ords detaljsida. Eller, gå till definitionen av octahedron.
In this context, the cube is a hexacatenane, and the truncated octahedron is a 14-catenane.
Our strategy is to pack cycles into sequences of linked octahedra.
We therefore need to allow some 'overflow' from one octahedron to the next.
The tetrahedron, the octahedron and the cube may all be related to the diameter of the circumscribing sphere with lengths which are 'commensurable in square'.
For the octahedra this is at most 5.
We shall construct the packing one octahedron at a time, so that at each step we may have some incompletely packed cycles.
We may also have missed at most 34 x 4 squares and triangles when we changed back some octahedra.
We shall now modify the octahedra in the trail so as to include all the additional edges.
We shall then pack these trails of octahedra with cycles of arbitrary lengths.
Repeat this process with a different octahedron for each of the paths until we run out of paths.
K (3) (2, 2, 2) is sometimes called the octahedron.
Unfortunately, we now need to pack cycles into these modified octahedra, and for very short cycles we shall need to introduce several alternative modifications to the octahedra.
To be specific, to which of the five platonic solids—tetrahedron, cube, octahedron, and so on—is the ideal strawberry supposed to approximate?
Regular cubes and octahedrons both have 12 edges, while regular icosahedrons have 12 vertices.
The number of cubes in an octahedron formed by stacking centered squares is a centered octahedral number, the sum of two consecutive octahedral numbers.
