Hox Genes Fit FIBONACCI-Numbers and LUCAS-Numbers to a Very Reasoanble extent by Stefan Geier

Hox Genes Fit FIBONACCI-Numbers and LUCAS-Numbers to a Very Reasoanble Extent
by Stefan Geier

Hypothesis: Hox genes fit FIBONACCI-Numbers and LUCAS-Numbers.

Evidence:
1. Number of Hox genes:
1.1. The typical number of Hox genes in mammals is13; 13 is the 7th FIBONACCI-number F(7).
1.2. The typical number of Hox genes in zebrafish is 13; 13 is the 7th FIBONACCI-number F(7).
1.3. The typical number of Hox genes in Drosophila is 8; 8 is the 8th FIBONACCI-number F(6).

2. Number of chromosomal clusters (secondary evidence):
2.1. The typical number of chromosomal clusters of Hox genes in mammals is 4; 4 is the third LUCAS-number L(3) .
2.2. The typical number of of chromosomal clusters of Hox genes in zebrafish is 7; 7 is the fourth LUCAS-number F(4).

The first Fibonacci-numbers and Lucas-numbers:
Fibonacci F(n): 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
Lucas L(n): 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ...

In addition, the recognition-helix interval is framed by 47=L(8) and 55=F(10), and the positions within the recognition-helix interval correspond with 3=F(4)=L(2) (classic specificity), 4=L(3) (core TAAT) and 7=L(4) (co-determinant).

Conclusions
1. This corroborates the hypothesis above: Hox genes fit FIBONACCI-Numbers and LUCAS-Numbers.
2. In addition, this corroborates GEIER's programme, and GEIER's equations.

Falsification and refinement is possible.


References:
Hubert, K. A. & Wellik, D. M. Hox genes in development and beyond. Development 150, dev192476 (2023).
Geier, St. et al. Hox genes, homeodomain specificity and GEIER's Fibonacci/Lucas-number programme in development (GEIER's equations and Hox Genes, Part 1). ResearchGate, May 8th 2026
DOI: 10.13140/RG.2.2.35949.96489 (2026).

Figure 2 from Geier St. et al. Hox genes, homeodomain specificity ...


Yours sincerly,
Stefan Geier
Gerhart-Hauptmann-Str.6
83071 Haidholzen, Germany


("Not crazy", but, astonishing.)

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