A History of the Study of Phyllotaxis

The study of the patterns formed by similar units in plants (e.g. leaves, scales, florets) is traced from the first primitive observations in ancient times to the sophisticated studies of today. Mathematics entered into the study early, at first as a way of describing the patterns observed, with Fib...

Full description

Saved in:
Bibliographic Details
Published inAnnals of Botany Vol. 80; no. 3; pp. 231 - 244
Main Authors ADLER, I., BARABE, D., JEAN, R.V.
Format Book Review Journal Article
LanguageEnglish
Published Elsevier Science Ltd 01.09.1997
Oxford University Press
Academic Press Limited
Subjects
Online AccessGet full text
ISSN0305-7364
1095-8290
DOI10.1006/anbo.1997.0422

Cover

Loading…
Abstract The study of the patterns formed by similar units in plants (e.g. leaves, scales, florets) is traced from the first primitive observations in ancient times to the sophisticated studies of today. Mathematics entered into the study early, at first as a way of describing the patterns observed, with Fibonacci numbers and the golden section playing a major role, and later in the construction of models designed to explain their origin. Observation and experiment alternated with theory. Explanations offered alternated between functional and causal. Functional explanations that were at first teleological gave way to those based on the idea of natural selection. Causal explanations alternated between the chemical and the mechanical. New light has been cast on the subject with the realization that phenomena similar to phyllotaxis occur in realms outside of botany.
AbstractList The study of the patterns formed by similar units in plants (e.g. leaves, scales, florets) is traced from the first primitive observations in ancient times to the sophisticated studies of today. Mathematics entered into the study early, at first as a way of describing the patterns observed, with Fibonacci numbers and the golden section playing a major role, and later in the construction of models designed to explain their origin. Observation and experiment alternated with theory. Explanations offered alternated between functional and causal. Functional explanations that were at first teleological gave way to those based on the idea of natural selection. Causal explanations alternated between the chemical and the mechanical. New light has been cast on the subject with the realization that phenomena similar to phyllotaxis occur in realms outside of botany.
Author JEAN, R. V.
BARABE, D.
ADLER, I.
Author_xml – sequence: 1
  givenname: I.
  surname: ADLER
  fullname: ADLER, I.
  organization: North Bennington, Vermont, 05257, USA
– sequence: 2
  givenname: D.
  surname: BARABE
  fullname: BARABE, D.
  organization: Institut de Recherche en Biologie Végétale, Université de Montréal, 4101 Sherbrooke Street East, Montreal, (QC), Canada, H1X 2B2
– sequence: 3
  givenname: R.V.
  surname: JEAN
  fullname: JEAN, R.V.
  organization: Institut de Recherche en Biologie Végétale, Université de Montréal, 4101 Sherbrooke Street East, Montreal, (QC), Canada, H1X 2B2
BookMark eNp1kMtLxDAQh4MouD6u3sS96K3r5NE8juJrBUFhVcRLyKapRmujSVbc_97WigfB0zDM95sZvg202obWIbSDYYIB-KFp52GClRITYISsoBEGVRaSKFhFI6BQFoJyto42UnoGAMIVHqH9o_HUpxzichzqcX5y41leVN_N9dOyaUI2nz5tobXaNMlt_9RNdHt2enM8LS6vzi-Ojy4LyxjORQmcYasMm0ssLEhrRE2o4NYYjGvFJSEKV5Yqq8icw7yuMa2EZMqK0irJ6SY6GPa-xfC-cCnrV5-saxrTurBImknFmJKkAycDaGNIKbpav0X_auJSY9C9Dd3b0L0N3dvoAuxPwPpssg9tjsY3_8d2h9hz7-j3CCOClxT3DxfDvHPoPn_nJr5oLqgo9fT-QSt6M7u7uz_RsuP3Br42QZvH6JO-nRHAFIgUrFQ9IQfCdZ4_vIs6We9a6yofnc26Cv6_Z78APeCZQQ
CitedBy_id crossref_primary_10_1242_dev_074740
crossref_primary_10_1088_1751_8121_ac86af
crossref_primary_10_1103_PhysRevE_94_033004
crossref_primary_10_3389_fpls_2014_00643
crossref_primary_10_7554_eLife_14093
crossref_primary_10_1142_S0217979204023684
crossref_primary_10_1007_s11538_019_00600_5
crossref_primary_10_3389_fpls_2021_746183
crossref_primary_10_3390_biomimetics9120763
crossref_primary_10_1186_s41231_021_00105_1
crossref_primary_10_1088_0951_7715_28_4_1077
crossref_primary_10_1088_1755_1315_1019_1_012013
crossref_primary_10_1104_pp_112_200402
crossref_primary_10_1007_s10265_021_01283_7
crossref_primary_10_1002_crat_200310102
crossref_primary_10_1016_j_tplants_2020_09_014
crossref_primary_10_7717_peerj_3609
crossref_primary_10_1002_adma_201704274
crossref_primary_10_1016_j_jtbi_2009_01_019
crossref_primary_10_1107_S2053273321012237
crossref_primary_10_3390_sym15020364
crossref_primary_10_1103_PhysRevE_61_354
crossref_primary_10_1007_s13160_022_00552_9
crossref_primary_10_4995_msel_2010_3111
crossref_primary_10_1126_science_1113412
crossref_primary_10_22630_MGV_2014_23_1_2
crossref_primary_10_1111_dgd_12378
crossref_primary_10_1088_1751_8113_43_43_434033
crossref_primary_10_1242_dev_165878
crossref_primary_10_1016_j_mex_2022_101879
crossref_primary_10_1016_j_jtbi_2005_10_008
crossref_primary_10_1002_csc2_20722
crossref_primary_10_1016_j_crvi_2010_01_004
crossref_primary_10_1023_B_VEGE_0000046053_23576_6b
crossref_primary_10_5685_plmorphol_33_53
crossref_primary_10_1016_j_pbi_2005_07_012
crossref_primary_10_1139_cjb_2016_0148
crossref_primary_10_1007_s11627_009_9257_z
crossref_primary_10_1007_s40292_022_00518_5
crossref_primary_10_1134_S106235900606001X
crossref_primary_10_1139_b02_002
crossref_primary_10_1002_ajb2_1023
crossref_primary_10_1063_1_2728578
crossref_primary_10_1016_j_jtbi_2012_08_009
crossref_primary_10_1242_dev_182907
crossref_primary_10_1002_wdev_231
crossref_primary_10_1007_s10265_020_01247_3
crossref_primary_10_4161_psb_6_11_17506
crossref_primary_10_1016_j_physd_2016_12_003
crossref_primary_10_1111_j_1365_3040_2004_01185_x
crossref_primary_10_1093_jxb_erac101
crossref_primary_10_1093_jxb_ert101
crossref_primary_10_1111_nph_19571
crossref_primary_10_1209_0295_5075_ac4620
crossref_primary_10_1139_b06_116
crossref_primary_10_1111_nph_16183
crossref_primary_10_1600_036364421X16377700945002
crossref_primary_10_3390_ijms19092674
crossref_primary_10_1016_j_jtbi_2011_03_037
crossref_primary_10_1109_LWC_2017_2774824
crossref_primary_10_1007_s11004_009_9257_x
crossref_primary_10_1088_1751_8121_aa9ada
crossref_primary_10_1016_j_pbiomolbio_2018_12_008
crossref_primary_10_1073_pnas_2016304118
crossref_primary_10_1103_PhysRevE_91_062601
crossref_primary_10_1093_jxb_eru482
crossref_primary_10_1016_j_ijcard_2016_03_166
crossref_primary_10_1016_j_progsolidstchem_2003_09_001
crossref_primary_10_1006_jtbi_2002_2527
crossref_primary_10_1016_j_jtbi_2013_07_026
crossref_primary_10_1038_s41477_021_00930_0
crossref_primary_10_3390_ijms21031145
crossref_primary_10_1139_b06_126
crossref_primary_10_2174_0115734021267721240304104447
crossref_primary_10_1007_s10630_005_0065_2
crossref_primary_10_1002_bies_201200126
crossref_primary_10_1016_j_physd_2015_02_003
crossref_primary_10_1002_jhbs_20409
crossref_primary_10_1016_S0002_9149_03_00731_8
crossref_primary_10_3732_ajb_89_8_1275
crossref_primary_10_1016_j_jtbi_2020_110567
crossref_primary_10_1007_s00591_009_0064_8
crossref_primary_10_1139_cjb_2016_0156
crossref_primary_10_1103_PhysRevE_81_046107
crossref_primary_10_1139_b06_133
crossref_primary_10_1371_journal_pcbi_1002389
crossref_primary_10_1111_nph_16040
crossref_primary_10_2985_026_028_0107
crossref_primary_10_1007_s00344_006_0066_x
crossref_primary_10_3389_fevo_2020_00070
crossref_primary_10_1017_qpb_2022_10
crossref_primary_10_1103_PhysRevLett_102_186103
crossref_primary_10_1016_j_pbiomolbio_2023_04_004
crossref_primary_10_1524_zpch_219_4_439_61668
crossref_primary_10_1016_j_tplants_2022_04_005
crossref_primary_10_1088_1361_648X_ac443d
crossref_primary_10_4028_www_scientific_net_AMR_842_505
crossref_primary_10_1038_s41578_021_00404_x
crossref_primary_10_1111_j_1365_3040_2009_01997_x
crossref_primary_10_1140_epje_i2010_10645_8
crossref_primary_10_1088_1742_6596_305_1_012110
crossref_primary_10_1103_PhysRevE_80_026110
crossref_primary_10_1016_j_physd_2015_05_003
crossref_primary_10_55653_forma_2022_003_002
crossref_primary_10_1016_j_jtbi_2005_03_007
crossref_primary_10_1007_s00468_005_0431_6
crossref_primary_10_1016_j_progsolidstchem_2005_10_001
crossref_primary_10_1080_10400419_2019_1651243
crossref_primary_10_1016_j_amc_2009_04_050
crossref_primary_10_1126_science_adg4014
crossref_primary_10_1002_adma_200901061
crossref_primary_10_1051_fruits_2002026
crossref_primary_10_2142_biophys_59_266
crossref_primary_10_1103_PhysRevE_100_043113
crossref_primary_10_1098_rspb_2008_0418
crossref_primary_10_1007_s10265_021_01310_7
crossref_primary_10_1142_S0129183107011777
crossref_primary_10_1016_j_cub_2011_05_054
crossref_primary_10_1046_j_1469_8137_2003_00803_x
crossref_primary_10_1088_0034_4885_69_2_R03
crossref_primary_10_3389_fpls_2014_00508
crossref_primary_10_1016_j_ijcard_2016_08_147
ContentType Book Review
Journal Article
Copyright 1997 Annals of Botany Company
Copyright_xml – notice: 1997 Annals of Botany Company
DBID FBQ
BSCLL
AAYXX
CITATION
7S9
L.6
DOI 10.1006/anbo.1997.0422
DatabaseName AGRIS
Istex
CrossRef
AGRICOLA
AGRICOLA - Academic
DatabaseTitle CrossRef
AGRICOLA
AGRICOLA - Academic
DatabaseTitleList
AGRICOLA



Database_xml – sequence: 1
  dbid: FBQ
  name: AGRIS
  url: http://www.fao.org/agris/Centre.asp?Menu_1ID=DB&Menu_2ID=DB1&Language=EN&Content=http://www.fao.org/agris/search?Language=EN
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Botany
EISSN 1095-8290
EndPage 244
ExternalDocumentID 10_1006_anbo_1997_0422
42765316
ark_67375_HXZ_93TSVVXD_8
US201302874598
S0305736497904224
GroupedDBID ---
--K
-DZ
-E4
-~X
.2P
.I3
0R~
1B1
1TH
1~5
23M
2WC
2~F
4.4
482
48X
4G.
53G
5GY
5VS
5WA
5WD
6.Y
6J9
7-5
70D
71M
79B
A8Z
AABJS
AABMN
AACTN
AAEDT
AAESY
AAIMJ
AAIYJ
AAJKP
AAJQQ
AALCJ
AALRI
AAMDB
AAMVS
AAOGV
AAPQZ
AAPXW
AAQFI
AAQXK
AAUQX
AAVAP
AAVLN
AAWDT
AAXTN
AAXUO
ABBHK
ABDBF
ABEFU
ABEUO
ABIXL
ABJNI
ABLJU
ABNKS
ABPPZ
ABPTD
ABQLI
ABQTQ
ABSAR
ABSMQ
ABWST
ABXSQ
ABXVV
ABZBJ
ACFRR
ACGFO
ACGFS
ACIWK
ACMRT
ACNCT
ACPQN
ACPRK
ACUFI
ACUTJ
ADACV
ADBBV
ADEIU
ADEYI
ADEZT
ADFGL
ADFTL
ADGKP
ADGZP
ADHKW
ADHZD
ADIPN
ADMUD
ADOCK
ADORX
ADQLU
ADRIX
ADRTK
ADULT
ADVEK
ADYVW
ADZTZ
ADZXQ
AEEJZ
AEGPL
AEGXH
AEJOX
AEKPW
AEKSI
AELWJ
AEMDU
AENEX
AENZO
AEPUE
AETBJ
AETEA
AEUPB
AEWNT
AFDAS
AFFNX
AFFZL
AFGWE
AFIYH
AFMIJ
AFOFC
AFRAH
AFSWV
AFXEN
AFYAG
AGINJ
AGKEF
AGKRT
AGQXC
AGSYK
AHMBA
AHXPO
AI.
AIAGR
AIJHB
AIKOY
AJEEA
AKHUL
AKWXX
ALMA_UNASSIGNED_HOLDINGS
ALUQC
ANFBD
AOIJS
APIBT
APJGH
APWMN
AQDSO
AQVQM
ARIXL
ASAOO
ASPBG
ATDFG
ATTQO
AVWKF
AXUDD
AYOIW
AZFZN
AZQFJ
BAYMD
BCRHZ
BEYMZ
BHONS
BQDIO
BSWAC
BYORX
C1A
CAG
CASEJ
CDBKE
COF
CS3
CXTWN
CZ4
DAKXR
DATOO
DFEDG
DFGAJ
DILTD
DM4
DPORF
DPPUQ
D~K
E3Z
EBD
EBS
EDH
EE~
EJD
ELUNK
EMOBN
ESTFP
ESX
F5P
F9B
FA8
FDB
FEDTE
FGOYB
FHSFR
FIRID
FLUFQ
FOEOM
FQBLK
G8K
GAUVT
GJXCC
GX1
H5~
HAR
HVGLF
HW0
HYE
HZ~
IHE
IOX
J21
JAAYA
JBMMH
JENOY
JHFFW
JKQEH
JLS
JLXEF
JPM
JSODD
JST
KAQDR
KBUDW
KC5
KOP
KQ8
KSI
KSN
LG5
M-Z
M49
MBTAY
N9A
NEJ
NGC
NLBLG
NOMLY
NTWIH
NU-
NVLIB
O-L
O0~
O9-
OAWHX
OBOKY
ODMLO
OHT
OJQWA
OJZSN
OK1
OVD
OWPYF
OZT
O~Y
P2P
PAFKI
PB-
PEELM
PQQKQ
Q1.
Q5Y
QBD
R2-
R44
RD5
RIG
RNI
ROL
ROX
ROZ
RPM
RPZ
RUSNO
RW1
RXO
RZF
RZO
SA0
SSZ
SV3
TCN
TEORI
TLC
TN5
TR2
UHS
UPT
VH1
W8F
WH7
WOQ
X7H
XOL
XPP
Y6R
YAYTL
YKOAZ
YSK
YXANX
YZZ
ZCG
ZKX
ZMT
~02
~91
~KM
AANRK
ABPTK
ABXZS
ALXQX
FBQ
AARHZ
AAUAY
AAYWO
ABDFA
ABDPE
ABEJV
ABGNP
ABIME
ABMNT
ABNGD
ABPIB
ABPQP
ABVGC
ABWVN
ABZEO
ACHIC
ACRPL
ACUHS
ACUKT
ACVCV
ACZBC
ADNBA
ADNMO
ADQBN
ADXHL
AEHUL
AFSHK
AGMDO
AGORE
AGQPQ
AHGBF
AJBYB
AJDVS
AJNCP
AKRWK
ATGXG
BSCLL
H13
IPSME
JXSIZ
AAYXX
CITATION
7S9
L.6
ID FETCH-LOGICAL-c441t-50641c9a4b817c08ca7f2376caa11f9682291dc39c92b60bff13d7849c75c9863
ISSN 0305-7364
IngestDate Fri Jul 11 01:44:13 EDT 2025
Tue Jul 01 01:38:43 EDT 2025
Thu Apr 24 23:09:44 EDT 2025
Sun Aug 24 12:10:34 EDT 2025
Tue Aug 05 16:49:50 EDT 2025
Wed Dec 27 19:13:45 EST 2023
Fri Feb 23 02:29:32 EST 2024
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 3
Keywords optimal design
polypeptide chains
allometry
systems research
genes
Phyllotaxis
algae
comparative morphology
evolutionary theory
living crystals
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c441t-50641c9a4b817c08ca7f2376caa11f9682291dc39c92b60bff13d7849c75c9863
Notes ark:/67375/HXZ-93TSVVXD-8
October 17, 1996 ; March 13, 1997 .
istex:337A805F731708AD48FE49C188750570AAA0CD7C
local:800231
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
OpenAccessLink https://academic.oup.com/aob/article-pdf/80/3/231/7982928/800231.pdf
PQID 48944982
PQPubID 24069
PageCount 14
ParticipantIDs proquest_miscellaneous_48944982
crossref_primary_10_1006_anbo_1997_0422
crossref_citationtrail_10_1006_anbo_1997_0422
jstor_primary_42765316
istex_primary_ark_67375_HXZ_93TSVVXD_8
fao_agris_US201302874598
elsevier_sciencedirect_doi_10_1006_anbo_1997_0422
ProviderPackageCode CITATION
AAYXX
PublicationCentury 1900
PublicationDate 1997-09-01
PublicationDateYYYYMMDD 1997-09-01
PublicationDate_xml – month: 09
  year: 1997
  text: 1997-09-01
  day: 01
PublicationDecade 1990
PublicationTitle Annals of Botany
PublicationTitleAlternate Ann Bot
PublicationYear 1997
Publisher Elsevier Science Ltd
Oxford University Press
Academic Press Limited
Publisher_xml – name: Elsevier Science Ltd
– name: Oxford University Press
– name: Academic Press Limited
References Richards (RF76) 1948; 2
Candolle (RF14) 1881
Adler (RF2) 1977; 65
Delpino (RF23) 1883; 4
Roberts (RF81) 1987; 125
Meicenheimer (RF62) 1982; 69
Bursill (RF12) 1990; 4
Leigh (RF48) 1972; 44
Levitov (RF51) 1991; 66
Bravais, Bravais (RF11) 1837; 7, 8
Sattler (RF90) 1997
Plantefol (RF73) 1948
Thornley (RF101) 1975; 39
Wright (RF109) 1873; 9
Sattler (RF88) 1990; 38
Meicenheimer, Zagorska-Marek (RF64) 1989; 139
Green (RF34) 1992; 153
Battjes, Vischer, Bachmann (RF6) 1993; 80
Zagorska-Marek (RF111) 1987; 56
Guédès, Dupuy (RF36) 1983; 87
Linden van der (RF53) 1990; 100
Nägeli (RF67) 1858; 1
Cutter (RF22) 1965; 31
Douady, Couder (RF27) 1996; 178
Erickson (RF29) 1983
Barabé, Jean (RF4) 1996; 178
Meinhardt (RF65) 1984
Niklas (RF70) 1988; 42
Plantefol (RF74) 1950; 54
Nelson (RF69) 1986; 255
Loiseau (RF55) 1969
Charlton (RF19) 1993; 71
Meicenheimer (RF63) 1987; 74
Ryan, Rouse, Bursill (RF84) 1991; 147
Lestiboudois (RF49) 1848; 3
Bursill, XuDong (RF13) 1989; 3
Fujita (RF30) 1942; 12
Jean (RF43) 1984
Schimper (RF91) 1830; 29
Jean (RF42) 1980; 87
Wardlaw (RF106) 1965
Dixon (RF24) 1992
Veen, Lindenmayer (RF104) 1977; 60
Braun (RF9) 1831; 15
Erickson (RF28) 1973; 181
Tait (RF99) 1872; 7
Rivier (RF79) 1986; 7
Thornley, Johnson (RF102) 1990
Jaeger (RF40) 1925
Schwabe, Clewer (RF94) 1984; 109
Schoute (RF92) 1913; 10
Coxeter (RF21) 1972; 20
Lee, Levitov (RF47) 1997
Iterson (RF39) 1907
Levitov (RF50) 1991; 14
Carr (RF16) 1984
Rothen, Koch (RF83) 1989; 50
Marzec, Kappraff (RF60) 1983; 103
Marzec (RF59) 1997
Rutishauser (RF86) 1986; 14
Selvam (RF96) 1990; 68
Braun (RF10) 1835; 18
Montgomery (RF66) 1970; 3
Schwabe (RF93) 1984
Carpenter, Copsey, Vincent, Doyle, Magrath, Coen (RF15) 1995; 7
Rivier (RF80) 1988; 2
Zagorska-Marek (RF112) 1994; 63
Reynaud (RF75) 1991
Lyndon (RF56) 1990
Williams (RF108) 1975
Green, Steele, Rennich (RF35) 1996; 77
Schwendener (RF95) 1878
Sachs (RF87) 1882
Meicenheimer (RF61) 1981; 68
Adler (RF1) 1974; 45
Church (RF20) 1904
Goodal (RF31) 1991; 51
Rothen, Koch (RF82) 1989; 50
Hirmer (RF37) 1931; 14
Jean (RF41) 1978
MacCurdy (RF57) 1955
Thompson (RF100) 1917
Barabé, Vieth (RF5) 1990; 68
Wardlaw (RF105) 1949; 13
Green (RF32) 1987; 27
Jean (RF45) 1997
Naumann (RF68) 1845
Linden van der (RF54) 1996; 133
Jean, Barabé (RF46) 1997
Ridley (RF78) 1982; 58
Adler (RF3) 1977; 67
Lima-de-Faria (RF52) 1988
Sattler (RF89) 1992; 70
Green (RF33) 1991
Chapman, Perry (RF17) 1987; 60
Hofmeister (RF38) 1868
Charlton (RF18) 1978; 57
Bonnet (RF8) 1754
Douady, Couder (RF26) 1992; 68
Bolle (RF7) 1939; 79
Rutishauser (RF85) 1982; 57
References_xml – volume: 125
  start-page: 141
  year: 1987
  end-page: 161
  ident: RF81
  article-title: The chemical contact pressure model for phyllotaxis: application to phyllotaxis changes in seedlings and to anomalous phyllotaxis
  publication-title: Journal of Theoretical Biology
– year: 1990
  ident: RF56
  publication-title: Plant development: the cellular basis.
– volume: 42
  start-page: 1
  year: 1988
  end-page: 16
  ident: RF70
  article-title: The role of phyllotactic pattern as a `Developmental Constraint’ on the interception of light by leaf surfaces
  publication-title: Evolution
– year: 1882
  ident: RF87
  publication-title: Text book of botany, 2nd edn.
– volume: 44
  start-page: 163
  year: 1972
  end-page: 176
  ident: RF48
  article-title: The golden section and spiral leaf-arrangement
  publication-title: Transactions of the Connecticut Academy of Arts and Sciences
– volume: 68
  start-page: 1139
  year: 1981
  end-page: 1154
  ident: RF61
  article-title: Changes in
  publication-title: American Journal of Botany
– start-page: 1
  year: 1991
  end-page: 64
  ident: RF33
  article-title: Morphogenesis
  publication-title: Plant physiology. A treatise.
– volume: 58
  start-page: 129
  year: 1982
  end-page: 139
  ident: RF78
  article-title: Packing efficiency in sunflower heads
  publication-title: Mathematical Biosciences
– year: 1754
  ident: RF8
  publication-title: Recherches sur l'usage des feuilles dans les plantes.
– volume: 147
  start-page: 303
  year: 1991
  end-page: 328
  ident: RF84
  article-title: Quantitative analysis of sunflower seed packing
  publication-title: Journal of Theoretical Biology
– volume: 56
  start-page: 229
  year: 1987
  end-page: 255
  ident: RF111
  article-title: Phyllotaxis triangular unit; phyllotactic transitions as the consequences of the apical wedge disclinations in a crystal-like pattern of the units
  publication-title: Acta Societatis Botanicorum Poloniae
– start-page: 403
  year: 1984
  end-page: 440
  ident: RF93
  article-title: Phyllotaxis
  publication-title: Positional control in plant development
– year: 1990
  ident: RF102
  publication-title: Plant and crop modelling.
– volume: 87
  start-page: 569
  year: 1980
  end-page: 584
  ident: RF42
  article-title: A systemic model of growth in botanometry
  publication-title: Journal of Theoretical Biology
– volume: 18
  start-page: 145
  year: 1835
  end-page: 191
  ident: RF10
  article-title: Dr. Carl Schimper's Vorträge über die Möglichkeit eines wissen-schaftlichen Verstandnis der Blattstellung, nebst Andeutung de Hauptsächlichen Blattstellungsgesetze und Insbesondere der Neuentdeckten Gesetze der Aneinanderreihung von Cyclen Verschiedener Maasse
  publication-title: Flora
– start-page: 353
  year: 1992
  end-page: 368
  ident: RF24
  article-title: Green spirals
  publication-title: Spiral symmetry
– volume: 66
  start-page: 224
  year: 1991
  end-page: 227
  ident: RF51
  article-title: Phyllotaxis of flux lattices in layered superconducters
  publication-title: Physical Review Letters
– volume: 45
  start-page: 1
  year: 1974
  end-page: 79
  ident: RF1
  article-title: A model of contact pressure in phyllotaxis
  publication-title: Journal of Theoretical Biology
– volume: 87
  start-page: 1
  year: 1983
  end-page: 12
  ident: RF36
  article-title: From decussation to distichy, with some comments on current theories of phyllotaxies
  publication-title: Botanical Journal of the Linnean Society
– volume: 57
  start-page: 323
  year: 1982
  end-page: 357
  ident: RF85
  article-title: Der Plastochronquotient als Teil einer quantitativen Blattstellungsanalyse bei Samenpflanzen
  publication-title: Beiträge zur Biologie der Pflanzen
– volume: 178
  start-page: 295
  year: 1996
  end-page: 312
  ident: RF27
  article-title: Phyllotaxis as a dynamical self organizing process. Part III. The simulation of the transient regimes of ontogeny
  publication-title: Journal of Theoretical Biology
– year: 1845
  ident: RF68
  publication-title: Über den Quincunx als Grundgesetz der Blattstellungen vieler Pflanzen.
– volume: 10
  start-page: 153
  year: 1913
  end-page: 339
  ident: RF92
  article-title: Beitrage zur Blattstellunglehre. I. Die Theorie
  publication-title: Recueilde Travaux Botániques Néerlandais
– volume: 14
  start-page: 132
  year: 1931
  end-page: 206
  ident: RF37
  article-title: Zur Kenntnis der Schraubenstellungen im Pflanzenreich
  publication-title: Planta
– year: 1969
  ident: RF55
  publication-title: La phyllotaxie.
– volume: 63
  start-page: 117
  year: 1994
  end-page: 137
  ident: RF112
  article-title: Phyllotactic diversity in
  publication-title: Acta Societatis Botanicorum Poloniae
– volume: 79
  start-page: 152
  year: 1939
  end-page: 192
  ident: RF7
  article-title: Theorie der Blattstellung
  publication-title: Verhandlungen Botanische der Provinz Brandenburg (Berlin)
– volume: 3
  start-page: 299
  year: 1970
  end-page: 323
  ident: RF66
  article-title: The origins of the spiral theory of phyllotaxis
  publication-title: Journal of the History of Biology
– volume: 39
  start-page: 509
  year: 1975
  end-page: 524
  ident: RF101
  article-title: Phyllotaxis II: a description in terms of intersecting logarithmic spirals
  publication-title: Annals of Botany
– volume: 31
  start-page: 7
  year: 1965
  end-page: 113
  ident: RF22
  article-title: Recent experimental studies on the shoot apex and shoot morphogenesis
  publication-title: Botanical Review
– volume: 1
  start-page: 1
  year: 1858
  end-page: 156
  ident: RF67
  article-title: Das Wachstum des Stammes und der Wurzel bei den Gefä fasspflanzen und die Anordnung der Gefäassträange im Stengel
  publication-title: Beitr. Wiss. Bot.
– volume: 74
  start-page: 857
  year: 1987
  end-page: 867
  ident: RF63
  article-title: Role of stem growth in
  publication-title: American Journal of Botany
– volume: 27
  start-page: 657
  year: 1987
  end-page: 673
  ident: RF32
  article-title: Inheritance of pattern: analysis from phenotype to gene
  publication-title: American Zoologist
– volume: 54
  start-page: 447
  year: 1950
  end-page: 460
  ident: RF74
  article-title: La phyllotaxie
  publication-title: Année Biologique
– volume: 68
  start-page: 831
  year: 1990
  end-page: 841
  ident: RF96
  article-title: Deterministic chaos, fractals and quantum-like mechanics in atmospheric flows
  publication-title: Canadian Journal of Physics
– volume: 51
  start-page: 775
  year: 1991
  end-page: 798
  ident: RF31
  article-title: Eigenshape analysis of a cut-grow mapping for triangles and its application to phyllotaxis in plants
  publication-title: SIAM Journal on Applied Mathematics
– volume: 29
  start-page: 1
  year: 1830
  end-page: 92
  ident: RF91
  article-title: Beschreibung des Symphytum Zeyheri und seiner zwei deutschen Verwandten der
  publication-title: Geiger's Magazin für Pharmacie
– volume: 60
  start-page: 127
  year: 1977
  end-page: 139
  ident: RF104
  article-title: Diffusion mechanism for phyllotaxis, theoretical, physico-chemical and computer study
  publication-title: Plant Physiology
– start-page: 53
  year: 1983
  end-page: 88
  ident: RF29
  article-title: The geometry of phyllotaxis
  publication-title: The growth and functioning of leaves
– volume: 7
  start-page: 299
  year: 1986
  end-page: 309
  ident: RF79
  article-title: A botanical quasicrystal
  publication-title: Journal de Physique France Colloque C3 Supplement
– year: 1907
  ident: RF39
  publication-title: Mathematische und Mikroskopisch-Anatomische Studien über Blattstellungen nebst Betraschtungen über den Schalenbau der Miliolinen.
– year: 1955
  ident: RF57
  publication-title: The notebooks of Leonardo da Vinci.
– year: 1881
  ident: RF14
  publication-title: Considérations sur l'étude de la phyllotaxie.
– year: 1978
  ident: RF41
  publication-title: Phytomathématique.
– volume: 2
  start-page: 953
  year: 1988
  end-page: 960
  ident: RF80
  article-title: Crystallography of spiral lattices
  publication-title: Modern Physics Letters B
– year: 1948
  ident: RF73
  publication-title: La théorie des hélices foliaires multiples.
– volume: 13
  start-page: 93
  year: 1949
  end-page: 131
  ident: RF105
  article-title: Experiments on organogenesis in ferns
  publication-title: Growth (suppl.)
– volume: 77
  start-page: 515
  year: 1996
  end-page: 527
  ident: RF35
  article-title: Phyllotactic patterns: a biophysical mechanism for their origin
  publication-title: Annals of Botany
– year: 1984
  ident: RF16
  article-title: Positional information in the specification of leaf, flower and branch arrangement
  publication-title: Positional controls in plant development
– volume: 2
  start-page: 217
  year: 1948
  end-page: 245
  ident: RF76
  article-title: The geometry of phyllotaxis and its origin
  publication-title: Symposium of the Society for Experimental Biology
– volume: 14
  start-page: 533
  year: 1991
  end-page: 539
  ident: RF50
  article-title: Energetic approach to phyllotaxis
  publication-title: Europhysics Letters
– year: 1997
  ident: RF47
  article-title: Universality in phyllotaxis: a mechanical theory
  publication-title: Symmetry in plants
– year: 1997
  ident: RF46
  publication-title: Symmetry in plants.
– year: 1975
  ident: RF108
  publication-title: The shoot apex and leaf growth: a study in quantitative biology.
– year: 1878
  ident: RF95
  publication-title: Mechanische Theorie der Blattstellungen.
– volume: 71
  start-page: 229
  year: 1993
  end-page: 247
  ident: RF19
  article-title: The rotated-lamina syndrome. III. Cases in
  publication-title: Canadian Journal of Botany
– volume: 70
  start-page: 708
  year: 1992
  end-page: 714
  ident: RF89
  article-title: Process morphology: structural dynamics in development and evolution
  publication-title: Canadian Journal of Botany
– volume: 109
  start-page: 595
  year: 1984
  end-page: 619
  ident: RF94
  article-title: Phyllotaxis—a simple computer model based on the theory of a polarly-translocated inhibitor
  publication-title: Journal of Theoretical Biology
– volume: 9
  start-page: 379
  year: 1873
  end-page: 415
  ident: RF109
  article-title: On the uses and origin of the arrangements of leaves in plants
  publication-title: Memoirs of the American Academy of Arts and Sciences
– volume: 20
  start-page: 167
  year: 1972
  end-page: 175
  ident: RF21
  article-title: The role of intermediate convergents in Tait's explanation of phyllotaxis
  publication-title: Journal of Algebra
– volume: 181
  start-page: 705
  year: 1973
  end-page: 716
  ident: RF28
  article-title: Tubular packing of spheres in biological fine structures
  publication-title: Science
– volume: 133
  start-page: 21
  year: 1996
  end-page: 50
  ident: RF54
  article-title: Creating phyllotaxis: the stack-and-drag model
  publication-title: Mathematical Biosciences
– volume: 68
  start-page: 677
  year: 1990
  end-page: 684
  ident: RF5
  article-title: La torsion de contrainte et le modèle phyllotaxique de Jean
  publication-title: Canadian Journal of Botany
– year: 1917
  ident: RF100
  publication-title: On growth and form.
– volume: 7
  start-page: 2001
  year: 1995
  end-page: 2011
  ident: RF15
  article-title: Control of flower development and phyllotaxis by meristem identity genes in
  publication-title: Plant Cell
– volume: 3
  start-page: 15
  year: 1848
  end-page: 105
  ident: RF49
  article-title: Phyllotaxie anatomique
  publication-title: Annales des Sciences Naturelles
– year: 1991
  ident: RF75
  publication-title: Auguste Bravais. De la Laponie au Mont-Blanc.
– volume: 3
  start-page: 1293
  year: 1989
  end-page: 1306
  ident: RF13
  article-title: Scaling laws for spiral aggregation of contact discs
  publication-title: Modern Physics Letters B
– volume: 139
  start-page: 359
  year: 1989
  end-page: 368
  ident: RF64
  article-title: Consideration of the geometry of phyllotactic triangular unit and discontinuous phyllotactic transitions
  publication-title: Journal of Theoretical Biology
– volume: 4
  start-page: 1
  year: 1883
  end-page: 345
  ident: RF23
  article-title: Teoria generale della fillotassi
  publication-title: Alti della R. Università di Genova
– volume: 4
  start-page: 2197
  year: 1990
  end-page: 2216
  ident: RF12
  article-title: Quasicrystallography on the spiral of Archimedes
  publication-title: International Journal of Modern Physics Letters B
– start-page: 1
  year: 1984
  end-page: 32
  ident: RF65
  article-title: Models of pattern formation and their application to plant development
  publication-title: Positional controls in plant development
– year: 1925
  ident: RF40
  publication-title: Le principe de symétrie et ses applications.
– year: 1997
  ident: RF59
  article-title: Uniform spacing models for the morphogenesis of high symmetry biological structures: icosahedral capsids, coaxial helices, and spiral phyllotaxis
  publication-title: Symmetry in plants
– volume: 69
  start-page: 1108
  year: 1982
  end-page: 1118
  ident: RF62
  article-title: Change in
  publication-title: American Journal of Botany
– volume: 50
  start-page: 1603
  year: 1989
  end-page: 1621
  ident: RF83
  article-title: Phyllotaxis or the properties of spiral lattices. II. Packing of circles along logarithmic spirals
  publication-title: Journal de Physique France
– volume: 12
  start-page: 1
  year: 1942
  end-page: 55
  ident: RF30
  article-title: Zur Kenntnis der Organstellungen im Pflanzenreich
  publication-title: Japanese Journal of Botany
– year: 1988
  ident: RF52
  publication-title: Evolution without selection.
– year: 1997
  ident: RF90
  article-title: On the origin of symmetry, branching and phyllotaxis in land plants
  publication-title: Symmetry in plants
– volume: 60
  start-page: 377
  year: 1987
  end-page: 389
  ident: RF17
  article-title: A diffusion model of phyllotaxis
  publication-title: Annals of Botany
– volume: 153
  start-page: S59
  year: 1992
  end-page: S75
  ident: RF34
  article-title: Pattern formation in shoots: A likely role for minimal energy configurations of the tunica
  publication-title: International Journal of Plant Sciences
– volume: 57
  start-page: 215
  year: 1978
  end-page: 222
  ident: RF18
  article-title: Studies in the Alismataceae. VII. Disruption of phyllotactic and organogenetic patterns in pseudostolons of
  publication-title: Canadian Journal of Botany
– volume: 103
  start-page: 201
  year: 1983
  end-page: 226
  ident: RF60
  article-title: Properties of maximal spacing on a circle related to phyllotaxis and to the golden mean
  publication-title: Journal of Theoretical Biology
– volume: 7
  start-page: 391
  year: 1872
  end-page: 394
  ident: RF99
  article-title: On phyllotaxis
  publication-title: Proceedings of the Royal Society Edinburgh
– year: 1997
  ident: RF45
  article-title: Elementary rules of growth in phyllotaxis
  publication-title: Symmetry in plants
– volume: 178
  start-page: 393
  year: 1996
  end-page: 397
  ident: RF4
  article-title: The constraints of global form on phyllotactic organization: the case of
  publication-title: Journal of Theoretical Biology
– volume: 38
  start-page: 303
  year: 1990
  end-page: 315
  ident: RF88
  article-title: Towards a more dynamic plant morphology
  publication-title: Acta Biotheoretica
– volume: 65
  start-page: 29
  year: 1977
  end-page: 77
  ident: RF2
  article-title: The consequences of contact pressure in phyllotaxis
  publication-title: Journal of Theoretical Biology
– volume: 7, 8
  start-page: 11
  year: 1837
  end-page: 42
  ident: RF11
  article-title: Essai sur la disposition des feuilles curvisériées
  publication-title: Annales des Sciences Naturelles Botanique
– volume: 14
  start-page: 77
  year: 1986
  end-page: 108
  ident: RF86
  article-title: Phyllotactic patterns in phyllodinous acacias (Acacia subg. Heterophyllum)—promising aspects for systemics
  publication-title: Bulletin of the International Group for the Study of Mimosideae
– volume: 68
  start-page: 2098
  year: 1992
  end-page: 2101
  ident: RF26
  article-title: Phyllotaxis as a physical self-organized process
  publication-title: Physical Review Letters
– volume: 50
  start-page: 633
  year: 1989
  end-page: 657
  ident: RF82
  article-title: Phyllotaxis, or the properties of spiral lattices. I. Shape invariance under compression
  publication-title: Journal de Physique France
– start-page: 405
  year: 1868
  end-page: 664
  ident: RF38
  article-title: Allgemeine Morphologie der Gewachse
  publication-title: Handbuch der Physiologischen Botanik
– year: 1904
  ident: RF20
  publication-title: On the relation of phyllotaxis to mechanical laws.
– volume: 80
  start-page: 419
  year: 1993
  end-page: 428
  ident: RF6
  article-title: Capitulum phyllotaxis and numerical canalization in
  publication-title: American Journal of Botany
– volume: 100
  start-page: 161
  year: 1990
  end-page: 200
  ident: RF53
  article-title: Creating phyllotaxis, the dislodgement model
  publication-title: Mathematical Biosciences
– volume: 67
  start-page: 447
  year: 1977
  end-page: 458
  ident: RF3
  article-title: An application of the contact pressure model of phyllotaxis to the close packing of spheres around a cylinder in biological fine structures
  publication-title: Journal of Theoretical Biology
– year: 1984
  ident: RF43
  publication-title: Mathematical approach to pattern and form in plant growth.
– volume: 15
  start-page: 195
  year: 1831
  end-page: 402
  ident: RF9
  article-title: Vergleichende Untersuchung über die Ordnung der Schuppen an den Tannenzapfen als Einleitung zur Untersuchung der Blattstellung Überhaupt
  publication-title: Verhandlungen der Kaiserlichen Leopoldinisch-Carolinischen Akademie der Naturforscher
– volume: 255
  start-page: 42
  year: 1986
  end-page: 51
  ident: RF69
  article-title: Quasicrystals
  publication-title: Scientific American
– start-page: 966
  year: 1965
  end-page: 1076
  ident: RF106
  article-title: The organization of the shoot apex
  publication-title: Encyclopaedia of plant physiology: I
SSID ssj0002691
Score 1.2506838
Snippet The study of the patterns formed by similar units in plants (e.g. leaves, scales, florets) is traced from the first primitive observations in ancient times to...
SourceID proquest
crossref
jstor
istex
fao
elsevier
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 231
SubjectTerms algae
allometry
Bonnets
Botany
comparative morphology
Contemporary periods
Continued fractions
evolution
evolutionary theory
fibonacci numbers
Fibonacci sequence
genes
growth
history
Leaves
literature reviews
living crystals
mathematics and statistics
optimal design
patterns
Phyllotaxis
phyllotaxy
Plant growth
plant morphology
Plants
polypeptide chains
REVIEW ARTICLE
stem form
systems research
Theoretical biology
theory
Title A History of the Study of Phyllotaxis
URI https://dx.doi.org/10.1006/anbo.1997.0422
https://api.istex.fr/ark:/67375/HXZ-93TSVVXD-8/fulltext.pdf
https://www.jstor.org/stable/42765316
https://www.proquest.com/docview/48944982
Volume 80
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9QwELZo4QAnXlWXZw48TonycOL4mLJFS4UQ6j604mLZXqcgVglqt1LLr2fGjrORykrQS7Tr9SaWv3hm7Jn5hpA3yphSZpSHuURSbWZ0KHOqQtxcGJ2VrDQ2QPZLMZnTk2W-9LXKu-ySjYr077_mldwGVWgDXDFL9j-Q7W8KDfAZ8IUrIAzXf8K46lg-rr2nf-opor9-v16v2428-nExND-3dMlH8GPTH6dX488uIuJT1O_Pq9PqyIZKjvu2k-PKRgWcRotoe1zgqFb58Ligz2PxomMbPGRzqOI8ZJnjFY-ME4lghIXobh3KTFd9qXs3sqEA7GS606Wp43a8IaZhqVt-YtVitiSLkIhsq5D6MMEpjgeHwxnHLnSP3E1hOxD7U5lO46aFq4zoR-_JOWMs5jN8xi7jY6-WLexOcGFd-cDUG8rZWhyzh-QBZqEEznXziNwxzWNyz4H2hLytgg74oK0DAD6wwOOXAfBPyfzj8ezDJOzqXYQajNJNiNyBieaSqjJhOi61ZDUGLWkpk6TmBXLzJyudcc1TVcSqrpNsxUrKNcs1L4vsgOw3bWMOSQArkymayRVFfkOdqlRJWeQmr01KdbwakdBPhNAdGTzWJFkLR2ONieqqFThxAiduRN73_X85GpSdPRM_r6Iz4pxxJgD8nf85BACEPAO9JubT1HrTsQ4DL0fknUWlf6o8_4mxiCwXk-U3wbPZdLFYjgV0PLCw9R1pygpQMMWIvPY4ChCd6A-TjWkvLwQtOaW8TJ_dYsjPyf3t6npB9jfnl-YlmKcb9cq-m38Aq3SEng
linkProvider National Library of Medicine
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+History+of+the+Study+of+Phyllotaxis&rft.jtitle=Annals+of+Botany&rft.au=ADLER%2C+I.&rft.au=BARABE%2C+D.&rft.au=JEAN%2C+R.V.&rft.date=1997-09-01&rft.pub=Elsevier+Science+Ltd&rft.issn=0305-7364&rft.eissn=1095-8290&rft.volume=80&rft.issue=3&rft.spage=231&rft.epage=244&rft_id=info:doi/10.1006%2Fanbo.1997.0422&rft.externalDocID=S0305736497904224
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0305-7364&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0305-7364&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0305-7364&client=summon