In this context, the cube is a hexacatenane, and the truncatedoctahedronis a 14-catenane.
From theCambridge English Corpus
Our strategy is to pack cycles into sequences of linked octahedra.
From theCambridge English Corpus
We therefore need to allow some 'overflow' from oneoctahedronto the next.
From theCambridge English Corpus
The tetrahedron, theoctahedronand the cube may all be related to the diameter of the circumscribing sphere with lengths which are 'commensurable in square'.
From theCambridge English Corpus
For the octahedra this is at most 5.
From theCambridge English Corpus
We shall construct the packing oneoctahedronat a time, so that at each step we may have some incompletely packed cycles.
From theCambridge English Corpus
We may also have missed at most 34 x 4 squares and triangles when we changed back some octahedra.
From theCambridge English Corpus
We shall now modify the octahedra in the trail so as to include all the additional edges.
From theCambridge English Corpus
We shall then pack these trails of octahedra with cycles of arbitrary lengths.
From theCambridge English Corpus
Repeat this process with a differentoctahedronfor each of the paths until we run out of paths.
From theCambridge English Corpus
K (3) (2, 2, 2) is sometimes called theoctahedron.
From theCambridge English Corpus
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.
From theCambridge English Corpus
To be specific, to which of the five platonic solids—tetrahedron, cube,octahedron, and so on—is the ideal strawberry supposed to approximate?
From the
Hansard archive
Example from the Hansard archive. Contains Parliamentary information licensed under theOpen Parliament Licence v3.0
Regular cubes and octahedrons both have 12 edges, while regular icosahedrons have 12 vertices.
From
Wikipedia
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The number of cubes in anoctahedronformed by stacking centered squares is a centered octahedral number, the sum of two consecutive octahedral numbers.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
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