Draft:Floretion
Submission declined on 23 September 2026 by Hurricane Wind and Fire (talk).
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Comment: For directly citing the information of who conjectured this concept we shouldn't use a userpage on another wiki but another secondary source or even the person's own website if available, we're more likely to ensure the information we're getting is true. Also reference 3 seems self-published. 🌀Hurricane Wind and Fire, why'd you decline my draft? (talk, contribs)🔥 13:33, 23 September 2026 (UTC)
| Floretion | |
|---|---|
| Type | Theorem |
| Field | hypercomplex number |
| Conjectured by | Creighton Dement[1] |
Floretion (pronounced /ˈflɔːrɛtiɒn/) is a hypercomplex number system representing 16-dimensional quantities. Floretion, a hypercomplex number system representing 16-dimensional quantities, was developed by Creighton Dement as an extension of quaternions and octonions.[2] These numbers are primarily utilized in iterative mathematical operations to generate complex, infinitely long integer sequences and patterns.
Definition and structure
[edit]Floretions are defined as algebraic expressions comprising real number coefficients and base vectors. These base vectors are constructed through the concatenation of digits from a designated four-element alphabet, Σ = {1, 2, 4, 7} Each digit in the alphabet serves as a coordinate index that maps directly to the classical units of quaternionic algebra (e, i, j, k).[3] Each digit in the alphabet serves as a coordinate index mapping directly to the units of quaternionic algebra: (e), (i), (j), and (k). Standard mapping relates the digit 1 to the unit (e) (or 1), 2 to the imaginary unit (i), 4 to the imaginary unit (j), and 7 to the imaginary unit (k). Base vectors, are formed by concatenating these digits, such as (ii), (ij), or (ik). The total number of digits within a word determines the mathematical order of the floretion component.[4]
References
[edit]
- ↑ "User:Creighton Dement - OeisWiki".
- ↑ "A308496 - OEIS". oeis.org. Retrieved 2026-06-01.
- ↑ "Sequences Related to "Floretions" at MROB". www.mrob.com. Retrieved 2026-06-02.
- ↑ MATHAR, RICHARD. "STRUCTURE OF THE FLORETION GROUP" (PDF). Leiden University.
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