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Arrangement of leaves on the stem of a plant
phyllotaxis of plants were frequently expressed in both clockwise and counter-clockwise golden ratio series. Mathematical observations of phyllotaxis
Phyllotaxis
Botanical term for a cluster of flowers
modifications can involve the length and the nature of the internodes and the phyllotaxis, as well as variations in the proportions, compressions, swellings, adnations
Inflorescence
Genevan botanist (1720–1793)
naturalist and philosophical writer. He is responsible for coining the term phyllotaxis to describe the arrangement of leaves on a plant. He was among the first
Charles_Bonnet
Visible regularity of form found in the natural world
phyllotaxis of plants were frequently expressed in both clockwise and counter-clockwise golden ratio series. Mathematical observations of phyllotaxis
Patterns_in_nature
Book by the Scottish D'Arcy Wentworth Thompson 1917
and ruminant horns; the arrangement of leaves and other plant parts (phyllotaxis); and Thompson's own method of transformations, showing the changes in
On_Growth_and_Form
American political activist
Reviews of Solving the Riddle of Phyllotaxis: Bultheel, Adhemar (November 2012). "Review of Solving the Riddle of Phyllotaxis". EMS Reviews. European Mathematical
Irving_Adler
Natural number
Retrieved 2023-01-18. Coxeter, H. S. M. (1969). "The golden section and phyllotaxis". Introduction to Geometry (2nd ed.). New York: John Wiley & Sons.
5
Regularity in sensory qualia or abstract ideas
plans of animals including molluscs such as the nautilus, and in the phyllotaxis of many plants, both of leaves spiralling around stems, and in the multiple
Pattern
Vegetable, member of the cabbage family
flowers to fail, but instead to repeat itself in a self-similar way. Phyllotaxis Azpeitia, Eugenio; Tichtinsky, Gabrielle; Masson, Marie Le; Serrano-Mislata
Romanesco_broccoli
Photosynthetic part of a vascular plant
pinnate venation. The arrangement of leaves on the stem is known as phyllotaxis. A large variety of phyllotactic patterns occur in nature: Alternate
Leaf
Biological term to describe a crossing
Decussate phyllotaxis of Crassula rupestris
Decussation
Numbers obtained by adding the two previous ones
Schimper and Alexander Braun discovered that the parastichies (spiral phyllotaxis) of plants were frequently expressed as fractions involving Fibonacci
Fibonacci_sequence
Sharp plant parts used for defense
positively to be controlled by phyllotaxis, the positioning of prickles appears to be truly random. If not, then by a phyllotaxis so arcane as to give the appearance
Thorns,_spines,_and_prickles
Branch of biology
biological structures. At the organismal level, well‑known examples include phyllotaxis in plants, where leaves and florets form spiral arrangements often related
Mathematical and theoretical biology
Mathematical_and_theoretical_biology
Species of flowering plant
ISBN 978-0-471-35291-4. Retrieved 31 January 2011. Jean, Roger V (1994). Phyllotaxis. Cambridge University Press. p. 185. ISBN 978-0-521-40482-2. Retrieved
Common_sunflower
Number, approximately 1.618
The psychologist Adolf Zeising noted that the golden ratio appeared in phyllotaxis and argued from these patterns in nature that the golden ratio was a
Golden_ratio
Spiral pattern of organs on plants
Embryology Fibonacci number § Nature Gerrit van Iterson Golden ratio § Nature Phyllotaxis Webster's Revised Unabridged Dictionary. C. & G. Merriam Co. 1913. Weise
Parastichy
Circle packing arranged in spirals
construction in the late 1980s or early 1990s. However, their study in phyllotaxis (the mathematics of plant growth) dates back to the early 1900s. A Doyle
Doyle_spiral
Family of flowering plants in the order Asparagales
though in many species the leaves higher up the shoot switch to a spiral phyllotaxis. Orchids are perennial; most species add new leaves at the apex while
Orchid
Genus of coniferous trees
needle-like, 8–60 millimetres (1⁄4–2+1⁄4 in) long, arranged in an open spiral phyllotaxis on long shoots and in dense spiral clusters of 15–45 together on short
Cedrus
2012 book by Irving Adler
the work on phyllotaxis of Theophrastus (the first to study phyllotaxis), Leonardo da Vinci (the first to apply mathematics to phyllotaxis), Johannes Kepler
Solving the Riddle of Phyllotaxis
Solving_the_Riddle_of_Phyllotaxis
Angle created by applying the golden ratio to a circle
381966\,.} The golden angle plays a significant role in the theory of phyllotaxis; for example, the golden angle is the angle separating the florets on
Golden_angle
Decussate phyllotaxis of Crassula rupestris
Glossary_of_botanical_terms
Temple on the Athenian Acropolis, Greece
and their relationships, inspired by patterns found in nature such as phyllotaxis. Starting from root rectangles whose sides are irrational values, he
Parthenon
French botanist (1891–1983)
Academy of Sciences who developed a theory of leaf helices to explain phyllotaxis. Plantefol was born in Falaise on 24 April 1891 and spent his youth in
Lucien_Plantefol
Species of plant
Crassula rupestris Decussate phyllotaxis of Crassula rupestris Scientific classification Kingdom: Plantae Clade: Tracheophytes Clade: Angiosperms Clade:
Crassula_rupestris
Self-similar curve related to golden ratio
at variance with the other mathematical spirals used to model them. Phyllotaxis, the pattern of plant growth, is in some case connected with the golden
Golden_spiral
Botanist
of Phyllotaxis. Biological Reviews, 9(1), 132–137. doi:10.1111/j.1469-185X.1934.tb00876.x Snow, M., & Snow, GRS. (1935). Experiments on Phyllotaxis. Part
Mary_Snow
Shape of flowers
in line with Mendelian theory. Floral morphology Patterns in nature Phyllotaxis Symmetry in biology Whorl (botany) Craene 2010, p. 25. Zimmerman, Erin
Floral_symmetry
and professor who developed a mathematical approach to plant growth (phyllotaxis). Gerrit van Iterson studied in the Department of Chemical Engineering
Gerrit_van_Iterson
On distances between points on a circle
angle θ = 2 π α {\displaystyle \theta =2\pi \alpha } . In the study of phyllotaxis, the arrangements of leaves on plant stems, it has been observed that
Three-gap_theorem
Spiral that surrounds equal area per turn
onto itself and is the asymptotic line of the lituus spiral. In disc phyllotaxis, as in the sunflower and daisy, the mesh of spirals occurs in Fibonacci
Fermat's_spiral
American painter
= 2.414... {\displaystyle \delta _{s}=2.414...} ). From the study of phyllotaxis and the related Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55
Jay_Hambidge
Family of flowering plants
leaf nodules can be observed as dark spots or lines on the leaves. The phyllotaxis is usually decussate, rarely whorled (e.g. Fadogia), or rarely seemingly
Rubiaceae
Topics referred to by the same term
property than associativity Alternate leaves, a classification in botanical phyllotaxis The Alternative (Denmark), a green political party in Denmark The Alternative
Alternative
Fixed number that has received a name
numbers. This may be why angles close to the golden ratio often show up in phyllotaxis (the growth of plants). It is approximately equal to: 1
Mathematical_constant
Species of flowering plant
Other plant characteristics include alternate leaf arrangement, (or phyllotaxis) and a tap root. It is an annual and it has entire leaf margins. The
Croton_monanthogynus
Process by which structures originate and mature as a plant grows
disparity between the objective organ, is the verticillate (or whorled) phyllotaxis, that is, the absence of stem elongation among the successive whorls
Plant_development
Species of tree
New buds shape. New buds are developing into new branches and leaves. Phyllotaxis. Stem branches early. Branchlets are thin and long. Unidentified object
Diospyros_eriantha
Species of cactus
upper body, the cephalum, which is a type of capitate inflorescence. Its phyllotaxis is much higher; usually 34/55. This upper cephalum can grow as much as
Melocactus_zehntneri
Organ in the earliest recognizable stage of embryonic development
cotyledons (in dicotyledonous plants) in simple patterns, known as phyllotaxis. Phyllotaxis are the arrangement of leaves on an axis or stem and can either
Primordium
Arrangement of plant parts around the stem
spirally arranged, as in the family Magnoliaceae. Cyclic flower Merosity Phyllotaxis "whorl". thedictionary. Retrieved 19 August 2012. Lindley, John. A Glossary
Whorl_(botany)
Segmented body with a serial repetition of organs
On the composition of the plant by phytons, and some applications of phyllotaxis. Proceedings of the American Association for the Advancement of Science
Metamerism_(biology)
Genus of succulent flowering plants from South Africa
the United States and Canada. Macmillan, New York. Molteno, S. (2022). Phyllotaxis in Asphodelaceae subfam. Alooideae: a tool in taxon delimitation. Haseltonia
Gasteria
Genus of coniferous trees
are simple and flattened, and may be sessile or short petiolate. The phyllotaxis or leaf arrangement is spiral, and may be subopposite on some shoots
Podocarpus
Species of tree
of the stamens are particularly long. Flowers just opened Panicle and phyllotaxis (opposite or alternate leaves) Color of young leaves When the fruit is
Lagerstroemia_subcostata
wrote a number of works of botany including a book and many articles on phyllotaxis. As a photographer, Hirmer worked mainly in the field of art and archaeology
Max_Hirmer
Biological process that causes an organism to develop its shape
biological growth, and hence natural patterns such as the spirals of phyllotaxis, were written by D'Arcy Wentworth Thompson in his 1917 book On Growth
Morphogenesis
French physicist
also studied magnetism, the northern lights, meteorology, geobotany, phyllotaxis, astronomy, statistics and hydrography. He studied at the Collège Stanislas
Auguste_Bravais
Genus of conifers
and the Greek phyllos, meaning "leaf". The name refers to the unique phyllotaxis where the adaxial surfaces of the leaves face up on one side of the shoot
Retrophyllum
German botanist (1805-1877)
link] A History of the Study of Phyllotaxis Adler, I; Barabe, D.; Jean, R.V. (1997). "A History of the Study of Phyllotaxis". Annals of Botany. 80 (3): 231–244
Alexander_Braun
Book by Stephen Wolfram
computational models of natural systems like shell growth, fluid turbulence, and phyllotaxis are a final category of applications that fall in this theme. Another
A_New_Kind_of_Science
Genus of succulent plants
original on October 16, 2017, retrieved 2017-10-16 Molteno S. (2022), "Phyllotaxis in Asphodelaceae subfam. Alooideae: a tool in taxon delimitation." Haseltonia
Haworthiopsis
Visitor attraction in Cornwall, England
Purvis of structural engineers SKM Anthony Hunts. It is derived from phyllotaxis, which is the mathematical basis for nearly all plant growth; the "opposing
Eden_Project
phylogenetics, phylum phyll- leaf Greek φύλλον (phúllon) chlorophyll, phyllotaxis phys- bladder Greek φῦσα (phûsa) physogastric, physostomous, Triplophysa
List of Greek and Latin roots in English/P–Z
List_of_Greek_and_Latin_roots_in_English/P–Z
Genus of flowering plants
issue of polyphyly in the alooids". Systematic Botany. Molteno S (2022) "Phyllotaxis in Asphodelaceae subfam. Alooideae: a tool in taxon delimitation." Haseltonia
Kumara_(plant)
Trans. R. Soc. London, Ser. B 235, 509 (1951). Orthostichy, Parastichy and Plastochrone Ratio in a Central Theory of Phyllotaxis[link removed] v t e
Plastochron
1139/b92-091. Sattler, R. 1998. On the origin of symmetry, branching and phyllotaxis in land plants. In: R.V. Jean and D. Barabé (eds) Symmetry in Plants
Evolutionary history of plants
Evolutionary_history_of_plants
German botanist, naturalist and poet (1803–1867)
Schimper pioneered research in the field of plant morphology, particularly phyllotaxis. He is perhaps best known as the originator of the theory of prehistoric
Karl_Friedrich_Schimper
Monotypic genus of flowering plant from southern Africa
Alooids?". Systematic Botany. 39 (1): 55–74. Molteno, Steven (2022). "Phyllotaxis in Asphodelaceae subfam. Alooideae: a tool in taxon delimitation". Haseltonia
Aristaloe
Family of flowering plants
shared between Anaxagorea and other Magnoliales species (such as 2-ranked phyllotaxis, monosulcate pollen, and laminate stamens) represent ancestral characters
Annonaceae
Young stem or branch
change in the growth pattern of some plants as they mature Lateral shoot Phyllotaxis, the arrangement of leaves along a plant stem Seedling Sterigma, the
Shoot_(botany)
Study of how patterns form by self-organization in nature
animal markings, the segmentation of animals, and phyllotaxis are formed in different ways. Phyllotaxis is the regular arrangement of leaves, flowers or
Pattern_formation
Commune in Normandy, France
Academy of Sciences who developed a theory of leaf helices to explain phyllotaxis was born here. Jacques Hébert – (1920–2018) a French politician was born
Falaise,_Calvados
American physicist
foreword for his then 99-year-old father's 87th book, Solving the Riddle of Phyllotaxis: Why the Fibonacci Numbers and the Golden Ratio Occur on Plants. The
Stephen_L._Adler
Family of flowering plants
differentiated in unifoliate brachyblasts and macroblasts with distichous phyllotaxis (Tetracentron), with nodes (1-)3(-multi)-lacunar, with (1)3(−7) leaf
Trochodendraceae
Genus of flowering plants, the sunflowers
plant Sunflower leaf structure Seed under a microscope Fermat's spiral Phyllotaxis Stegocintractia junci "Helianthus". Germplasm Resources Information Network
Helianthus
Tribe of flowering plants
whereas others are annual. The leaves are palmate with alternate (spiral) phyllotaxis. The inflorescences are racemose, typically with blue flowers. The flowers
Delphinieae
Species of cactus
curved. In some plants there can be as many as 144 ribs, with the highest phyllotaxis (55/144) of any cactus. The crown is covered by a thin, whitish wool
Stenocactus_multicostatus
British botanist
Literary Society. 3 532-45 J. H. Priestley and Lorna I. Scott (1933) Phyllotaxis in the dicotylodon from the standpoint of developmental anatomy. Biological
Lorna_I._Scott
Species of plant
Decussate leaf phyllotaxis M. wilsonii (San Diego Botanic Garden)
Melaleuca_wilsonii
Theory explaining plant leaf patterns
Peperomia) that violate the simple largest-gap rule. Consequently, modern phyllotaxis research often treats available space effects as a secondary constraint
Available_space_theory
Species of flowering plant
charred in brush fire Mature leaf fan, showing characteristic distichous phyllotaxis Atypical specimen, showing simultaneously inflorescence, leaves and last
Boophone_disticha
Theory used to explain how plants regulate distance between new budding leaves on a steam
the theory is supported by several surgical and modeling experiments. Phyllotaxis Available space theory "Repulsion theory". Dictionary of Botany. Retrieved
Repulsion_theory
North American prairies. The tightly packed disc florets can have a phyllotaxis as high as 144 / 377. Largest simple umbel (all flowers radiate from
List of largest inflorescences
List_of_largest_inflorescences
Model for genetics of flower development
disparity between the objective organ, is the verticillate (or whorled) phyllotaxis, that is, the absence of stem elongation among the successive whorls
ABC model of flower development
ABC_model_of_flower_development
Swiss botanist (1829–1919)
and its guard cells. He also used disk stacking to create a model for phyllotaxis in plants, and established the discipline of plant biomechanics. In 1867
Simon_Schwendener
Genus of palms from Africa
spiraling clockwise or counter-clockwise along the stem, representing a phyllotaxis of 1/4. As hapaxanths, after a prolonged vegetative period, a brief flowering
Laccosperma
Family of flowering plants
parts (haplostemonous androecia, polymery), the degree of sympetaly, and phyllotaxis) which are now recognized as being of limited value due to extensive
Crassulaceae
Scottish biologist, mathematician, and classics scholar
bones of birds and well-known engineering truss designs. He described phyllotaxis (numerical relationships between spiral structures in plants) and its
D'Arcy_Wentworth_Thompson
French naturalist and botanist (1797–1876)
commander of the Legion of Honour. Known for his early investigations of phyllotaxis, in 1848 he published Phyllotaxie anatomique. Other noted works by Lestiboudois
Gaspard Thémistocle Lestiboudois
Gaspard_Thémistocle_Lestiboudois
English plant physiologist
engaged in mathematical modeling. He devised a new method to describe phyllotaxis using the tangential and radial spacing of a given plant apex. He extended
Francis_John_Richards
Species of flowering plant
producing twining stems. The flowers of Berberidopsis have a spiral phyllotaxis. They do not have a clear way to distinguish the bracts, sepals and petals
Berberidopsis_beckleri
American mathematician
journal). Issue 1. Feb. 1999. Kappraff, J., Blackmore, D., and Adamson, G. "Phyllotaxis asDynamical System: A Study in Number." In Symmetry in Plants edited
Jay_Kappraff
Species of plant
green, alternate to subopposite, and three- to five-lobed with a spiral phyllotaxis. Flowers: male and female flowers are produced on the same inflorescence
Jatropha_curcas
Book by A Lima-de-Faria
Molecular Biology and Evolution. 7 (6): 634. Jean, Roger V. (1994). Phyllotaxis: A Systemic Study in Plant Morphogenesis. Cambridge University Press
Evolution_Without_Selection
Species of flowering plant
genetically distinct and can always be distinguished by its flowers and its phyllotaxis. Both spiralis and herrei have puffed up, inflated flowers, but those
Astroloba_herrei
Values 4: 41-48 ---- 1998. On the origin of symmetry, branching and phyllotaxis in land plants. In: R.V. Jean and D. Barabé (eds) Symmetry in Plants
Rolf_Sattler
Genus of flowering plants from Africa
the Alooids?" Systematic Botany 39(1), pp. 55-74 Molteno, S. (2022) "Phyllotaxis in Asphodelaceae subfam. Alooideae: a tool in taxon delimitation." Haseltonia
Gonialoe
Proteins that mediate movement of auxin across membranes
to the system self-organizing properties, which explains for instance phyllotaxis (the regular and geometrical arrangements of lateral organ along the
Polar_auxin_transport
Species of plant
striped, and covered with lenticels. The bud scales are narrow-ovate. The phyllotaxis of the leaves is spiral, and they have a thick, (1–)1.5–2 cm long, glabrous
Liquidambar_yunnanensis
Three-dimensional packing problem
spirals in the latter are arranged on a disk. For columnar structures phyllotaxis in the context of cylindrical structures is adopted. The phyllotactic
Sphere_packing_in_a_cylinder
Monotypic genus of trees from South Africa
grow. This is sufficiently unusual among tree species, that its whorled phyllotaxis is the most conveniently diagnostic characteristic of Brabejum stellatifolium
Brabejum
phylogenetics, phylum phyll- leaf Greek φύλλον (phúllon) chlorophyll, phyllotaxis phys- bladder Greek φῦσα (phûsa) physogastric, physostomous, Triplophysa
List of Greek and Latin roots in English/P
List_of_Greek_and_Latin_roots_in_English/P
Species of palm
any chemical reaction. Plant Characteristic of the grouping of trunks Phyllotaxis Fruits Wikimedia Commons has media related to Caryota mitis. Botanic
Caryota_mitis
Genus of conifers
often peels with scale-like plates. The leaves are simple and flat. The phyllotaxis or leaf arrangement is usually spiral but may be opposite on young plants
Afrocarpus
Genus of plants
tree, growing to 5 m, occasionally to 8 m tall. It is unusual in its phyllotaxis, in which opposite and alternate leaves can occur on the same twig, typically
Shuaria
Species of conifer
leading and cone-bearing shoots also have smaller scale-like leaves. The phyllotaxis is spiral though the leaves of the lateral shoots are twisted to lie
Retrophyllum_vitiense
(1902–1978), botanist who contributed to the study of geotropism and phyllotaxis Iyiola Solanke, Professor of European Union Law; founded the Black Female
List of people associated with Somerville College, Oxford
List_of_people_associated_with_Somerville_College,_Oxford
On tangency patterns of circles
of Arnold Emch on Doyle spirals in the mathematics of plant growth (phyllotaxis). The circle packing theorem itself was first stated and proved by Koebe
Circle_packing_theorem
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