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A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex. A universal Osborn loop and four of its isotopes are shown to form a rectangular pyramid in a 3-dimensional space.

eISSN:
1841-3307
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics