Higher Dimensions
The binary octahedral group generalizes to higher dimensions: just as the octahedron generalizes to the hyperoctahedron, the octahedral group in SO(3) generalizes to the hyperoctahedral group in SO(n), which has a binary cover under the map
Read more about this topic: Binary Octahedral Group
Famous quotes containing the words higher and/or dimensions:
“Nature uses human imagination to lift her work of creation to even higher levels.”
—Luigi Pirandello (1867–1936)
“The truth is that a Pigmy and a Patagonian, a Mouse and a Mammoth, derive their dimensions from the same nutritive juices.... [A]ll the manna of heaven would never raise the Mouse to the bulk of the Mammoth.”
—Thomas Jefferson (1743–1826)