Mathematical Phyllotaxis Gallery

Centric model

A spiral lattice
Tesselation of unit disk by infinity-gons
Infinity-gons with rotation numbers
The blue and yellow regions (with numbers)
The blue regions cut in half
Curves on top of blue and yellow regions

Hyperbolic Geometry

Tessellation of the Hyperbolic plane corresponding to action of the extended Unimodular group.
A (j,k)-quadrilateral
Global view of the tessellation of the Hyperbolic plane by (j,k)-quadrilaterals.
Union of three (j,k)-quadrilaterals forming a Hyperbolic hexagon, typical case
Union of three (j,k)-quadrilaterals forming a Hyperbolic hexagon, special case
Union of three (j,k)-quadrilaterals forming a Hyperbolic hexagon, special case
Relationship between (j,k)-quadrilaterals and infinite polygons.
Points of the Hyperbolic plane corresponding to the rhombic class of lattices.
Cayley graph with degree 3
Sign of potential
hexagon with diagram
Potential near bifurcation

Discontinuity loci

Photo

Daisy with (34,52)-phyllotaxis

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