The algorithmic beauty of sea shells:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
Ausgabe: | 3. ed. |
Schriftenreihe: | The virtual laboratory
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 236 S. zahlr. Ill., graph. Darst. 1 CD-ROM (12 cm) |
ISBN: | 3540440100 |
Internformat
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100 | 1 | |a Meinhardt, Hans |e Verfasser |4 aut | |
245 | 1 | 0 | |a The algorithmic beauty of sea shells |c Hans Meinhardt. With contributions and images by Przemyslaw Rusinkiewicz and Deborah R. Fowler |
250 | |a 3. ed. | ||
264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
300 | |a XI, 236 S. |b zahlr. Ill., graph. Darst. |e 1 CD-ROM (12 cm) | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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650 | 7 | |a Schelpen |2 gtt | |
650 | 7 | |a Slakken |2 gtt | |
650 | 4 | |a Pattern formation (Biology) |x Computer simulation | |
650 | 4 | |a Shells |x Computer simulation | |
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Datensatz im Suchindex
_version_ | 1805083662042005504 |
---|---|
adam_text |
CONTENTS
1
SHELL
PATTERNS
AS
DYNAMIC
SYSTEMS
.
1
1.1
DYNAMIC
SYSTEMS
EVERYWHERE
.
1
1.2
PATTERN
FORMATION
.
2
1.3
DYNAMIC
SYSTEMS
ARE
DIFFICULT
TO
PREDICT
.
3
1.4
PATTERN
FORMATION
IN
BIOLOGY
.
4
1.5
SHELL
PATTERNS
PRESERVE
A
TIME
RECORD
.
5
1.6
ELEMENTARY
PATTERN
.
6
1.7
OBLIQUE
LINES
.
8
1.8
RELIEF-LIKE
PATTERNS
FOLLOW
THE
SAME
RULES
.
9
1.9
MANY
OPEN
QUESTIONS
AND
SOME
HINTS
.
10
1.10
THE
HARD
PROBLEM:
COMPLEX
PATTERNS
.
15
1.11
EARLIER
ATTEMPTS
TO
UNDERSTAND
SHELL
PATTERNS
.
16
2
PATTERN
FORMATION
.
19
2.1
THE
ACTIVATOR
-
INHIBITOR
SCHEME
.
19
2.2
STABLE
PATTERNS
REQUIRE
A
RAPID
ANTAGONISTIC
REACTION
.
20
2.3
PERIODIC
PATTERNS
IN
SPACE
.
21
2.4
THE
WIDTH
OF
STRIPES
AND
THE
ROLE
OF
SATURATION
.
25
2.5
EARLY
FIXATION
OF
A
PATTERN
.
27
2.6
THE
ACTIVATOR-DEPLETED
SUBSTRATE
SCHEME
.
29
2.7
THE
INFLUENCE
OF
GROWTH
.
30
2.8
INHIBITION
VIA
DESTRUCTION
OF
THE
ACTIVATOR
.
32
2.9
AUTOCATALYSIS
BY
AN
INHIBITION
OF
AN
INHIBITION
.
33
2.10
FORMATION
OF
GRADED
CONCENTRATION
PROFILES
.
35
2.11
PATTERN
FORMATION
IN
TWO
DIMENSIONS
.
38
3
OSCILLATIONS
AND
TRAVELLING
WAVES
.
41
3.1
THE
COUPLING
BETWEEN
THE
OSCILLATORS
BY
DIFFUSION
.
44
3.2
THE
WIDTH
OF
BANDS
AND
INTERBANDS
.
47
3.3
OBLIQUE
LINES:
TRAVELLING
WAVES
IN
AN
EXCITABLE
MEDIUM
.
47
3.4
TRAVELLING
WAVES
REQUIRE
A
PACE-MAKER
REGION
.
49
X
CONTENTS
4
SUPERPOSITION
OF
STABLE
AND
PERIODIC
PATTERNS
.
53
4.1
WAVY
LINES
.
54
4.2
REDUCING
WAVE
TERMINATION
WITH
A
LONGER
ACTIVATION
PERIOD
.
58
4.3
INTERCONNECTING
WAVY
LINES
AND
THE
FORMATION
OF
ARCHES
.
58
4.4
HIDDEN
WAVES
.
60
4.5
PATTERN
ON
THE
SHELL
OF
NAUTILUS
POMPILIUS
.
61
4.6
STABILIZING
AN
OTHERWISE
OSCILLATING
PATTERN
BY
DIFFUSION
.
62
4.7
COMBINATIONS
OF
OSCILLATING
AND
NON-OSCILLATING
PATTERNS
.
63
4.8
ROWS
OF
PATCHES
PARALLEL
TO
THE
DIRECTION
OF
GROWTH
.
64
4.9
THE
POSSIBLE
ROLE
OF
A
CENTRAL
OSCILLATOR
.
67
5
MESHWORK
OF
OBLIQUE
LINES
AND
STAGGERED
DOTS
.
71
5.1
DISPLACEMENT
OF
STABLE
MAXIMA
OR
ENFORCED
DE-SYNCHRONIZATION
.
.
71
5.2
PATTERN
VARIABILITY
.
73
5.3
GLOBAL
PATTERN
REARRANGEMENTS
.
74
5.4
TRACES
OF
THE
ADDITIONAL
INHIBITION
.
76
5.5
CROSSINGS
AND
BRANCHING
.
79
5.6
CHANGING
THE
SPEED
OF
THE
WAVE
DURING
A
COLLISION
.
82
5.7
PARALLEL
AND
OBLIQUE
ROWS
OF
STAGGERED
DOTS
.
84
5.8
CONCLUSION
.
89
6
BRANCH
INITIATION
BY
GLOBAL
CONTROL
.
91
6.1
SIMULTANEOUS
PATTERN
CHANGE
IN
DISTANT
REGIONS
.
91
6.2
BRANCH
FORMATION
IN
OLIVA
PORPHYRIA
.
93
6.3
PATTERN
DIVERSITY
.
96
6.4
THE
INFLUENCE
OF
PARAMETERS
.
96
6.5
ALTERNATIVE
MECHANISMS
.
100
7
THE
BIG
PROBLEM:
TWO
OR
MORE
TIME-DEPENDENT
PATTERNS
.
103
7.1
INHERENT
SIMILARITIES
IN
COMPLEX
PATTERNS
.
103
7.2
WHITE
UNPIGMENTED
DROP-LIKE
PATTERN
.
105
7.3
EVIDENCE
OF
A
SUDDEN
EXTINGUISHING
REACTION
.
105
7.4
RESOLVING
AN
OLD
PROBLEM
WITH
THE
SEPARATE
EXTINGUISHING
REACTION
109
7.5
SUPERIMPOSITION
OF
A
STABLE
PATTERN
.
110
7.6
THE
STABLE
PATTERN
MEDIATES
BRANCH
FORMATION
.
114
7.7
GENERATING
A
STEADY
STATE
WITH
TWO
MUTUALLY
STABILIZING
REACTIONS
.
114
7.8
INTIMATE
COUPLING
OF
ENHANCING
AND
EXTINGUISHING
REACTIONS
.
117
7.9
EXTINGUISHING
THAT
RESULTS
FROM
A
DEPLETION
OF
RESOURCES
.
119
7.10
RELATED
PATTERNS
REVEAL
OPEN
PROBLEMS
.
122
7.11
APPARENTLY
DIFFERENT
PATTERNS
CAN
BE
SIMULATED
BY
CLOSELY
RELATED
MODELS
.
122
7.12
CONCLUSION
.
125
8
TRIANGLES
.
127
8.1
THE
CROSSING
SOLUTION
THROUGH
THE
BACKDOOR
.
129
8.2
TRIANGLE
VERSUS
BRANCH
FORMATION
.
132
8.3
THE
INVOLVEMENT
OF
THREE
INHIBITORY
REACTIONS
.
133
CONTENTS
XI
8.4
BREAKDOWN
AS
A
FAILURE
OF
THE
ENHANCING
REACTION
.
139
8.5
CONCLUSION
.
140
9
PARALLEL
LINES
WITH
TONGUES
.
143
9.1
SURVIVAL
USING
A
PRECONDITION
PATTERN
.
145
9.2
TONGUE
FORMATION:
REFRESH
COMES
TOO
LATE
.
146
9.3
VARIATIONS
ON
A
COMMON
THEME
.
152
9.4
CONUS
TEXTILE:
TONGUES
AND
BRANCHES
ON
THE
SAME
SHELL
.
154
9.5
MISSING
ELEMENTS,
MISSING
LINKS
.
158
EPILOGUE
.
160
10
SHELL
MODELS
IN
THREE
DIMENSIONS
.
163
10.1
MATHEMATICAL
DESCRIPTIONS
OF
SHELL
SHAPE:
A
BRIEF
HISTORY
.
163
10.2
ELEMENTS
OF
SHELL
SHAPE
.
164
10.3
THE
HELICO-SPIRAL
.
165
10.4
THE
GENERATING
CURVE
.
167
10.5
INCORPORATING
THE
GENERATING
CURVE
INTO
THE
MODEL
.
167
10.6
MODELING
THE
SCULPTURE
ON
SHELL
SURFACES
.
170
10.7
SHELLS
WITH
PATTERNS
.
175
11
THE
COMPUTER
PROGRAM
.
183
11.1
INTRODUCTORY
REMARKS
.
183
11.2
USING
THE
PROGRAM
.
183
11.3
IMPLEMENTATION
OF
THE
INTERACTIONS
.
185
11.4
NUMERICAL
INSTABILITIES
THAT
MAY
CAUSE
ERRORS
.
187
11.5
COMPILERS
AND
VERSIONS
.
188
11.6
PARAMETERS
USED
IN
THE
PROGRAM
.
188
12
PATTERN
FORMATION
IN
THE
DEVELOPMENT
OF
HIGHER
ORGANISMS
.
197
12.1
ORGANIZER
REGIONS
.
200
12.2
ARRANGEMENT
OF
LEAVES
.
203
12.3
HOW
TO
ACTIVATE
PARTICULAR
GENES
IN
PARTICULAR
REGIONS
.
205
12.4
CELLS
BECOME
'
PROMOTED
'
.
207
12.5
THE
PROBLEM
OF
POLARITY
.
210
12.6
HOW
TO
AVOID
PERIODIC
STRUCTURES
.
211
12.7
HOW
GENERATE
STRUCTURES
AT
A
DISTANCE:
HEAD
AND
FOOT
OF
HYDRA
.
.
211
12.8
FORMATION
OF
STRUCTURES
ADJACENT
TO
EACH
OTHER
.
212
12.9
THE
INITIATION
OF
LEGS
AND
WINGS
.
213
12.10
VEINS
AND
NERVES:
THE
FORMATION
OF
NET-LIKE
STRUCTURES
.
216
12.11
WHEN
CELLS
HAVE
TO
FIND
A
TARGET
.
219
12.12
DICTYOSTELIUM:
TRAVELLING
WAVES
AT
THE
BORDER
TO
MULTICELLULAR
ORGANISMS
.
221
12.13
NERVE
CONDUCTION
AS
A
TRAVELLING
WAVE
PHENOMENON
.
223
12.14
ACTIVATION
AND
EXTINGUISHING
WAVES
IN
BLOOD
COAGULATION
.
224
REFERENCES
.
227
INDEX
.
233 |
any_adam_object | 1 |
author | Meinhardt, Hans |
author_GND | (DE-588)17231464X |
author_facet | Meinhardt, Hans |
author_role | aut |
author_sort | Meinhardt, Hans |
author_variant | h m hm |
building | Verbundindex |
bvnumber | BV016505917 |
callnumber-first | Q - Science |
callnumber-label | QL403 |
callnumber-raw | QL403 |
callnumber-search | QL403 |
callnumber-sort | QL 3403 |
callnumber-subject | QL - Zoology |
classification_rvk | UG 3900 WC 3420 WD 9200 WQ 8027 |
classification_tum | BIO 110f BIO 105f BIO 855f |
ctrlnum | (OCoLC)1176110219 (DE-599)BVBBV016505917 |
dewey-full | 591.47/7/0113 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 591 - Specific topics in natural history of animals |
dewey-raw | 591.47/7/0113 |
dewey-search | 591.47/7/0113 |
dewey-sort | 3591.47 17 3113 |
dewey-tens | 590 - Animals |
discipline | Physik Biologie Informatik |
edition | 3. ed. |
format | Book |
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geographic | Tropen (DE-588)4060997-2 gnd |
geographic_facet | Tropen |
id | DE-604.BV016505917 |
illustrated | Illustrated |
indexdate | 2024-07-20T07:52:06Z |
institution | BVB |
isbn | 3540440100 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010200836 |
oclc_num | 1176110219 |
open_access_boolean | |
owner | DE-29T DE-355 DE-BY-UBR DE-M347 DE-91G DE-BY-TUM DE-634 DE-83 DE-11 DE-B16 DE-2070s |
owner_facet | DE-29T DE-355 DE-BY-UBR DE-M347 DE-91G DE-BY-TUM DE-634 DE-83 DE-11 DE-B16 DE-2070s |
physical | XI, 236 S. zahlr. Ill., graph. Darst. 1 CD-ROM (12 cm) |
publishDate | 2003 |
publishDateSearch | 2003 |
publishDateSort | 2003 |
publisher | Springer |
record_format | marc |
series2 | The virtual laboratory |
spelling | Meinhardt, Hans Verfasser aut The algorithmic beauty of sea shells Hans Meinhardt. With contributions and images by Przemyslaw Rusinkiewicz and Deborah R. Fowler 3. ed. Berlin [u.a.] Springer 2003 XI, 236 S. zahlr. Ill., graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier The virtual laboratory Computersimulaties gtt Patroongeneratie gtt Schelpen gtt Slakken gtt Pattern formation (Biology) Computer simulation Shells Computer simulation Meerestiere (DE-588)4038330-1 gnd rswk-swf Schneckenhaus (DE-588)4370039-1 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Meeresmuscheln (DE-588)4169248-2 gnd rswk-swf Meeresschnecken (DE-588)4169253-6 gnd rswk-swf Programm (DE-588)4047394-6 gnd rswk-swf Schale Biologie (DE-588)4052004-3 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf Tropen (DE-588)4060997-2 gnd rswk-swf Tropen (DE-588)4060997-2 g Meeresschnecken (DE-588)4169253-6 s Schale Biologie (DE-588)4052004-3 s Musterbildung (DE-588)4137934-2 s DE-604 Meeresmuscheln (DE-588)4169248-2 s Programm (DE-588)4047394-6 s Schneckenhaus (DE-588)4370039-1 s Computersimulation (DE-588)4148259-1 s 1\p DE-604 Meerestiere (DE-588)4038330-1 s 2\p DE-604 Prusinkiewicz, Przemysław 1952- Sonstige (DE-588)17231464X oth Fowler, Deborah R. Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010200836&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Meinhardt, Hans The algorithmic beauty of sea shells Computersimulaties gtt Patroongeneratie gtt Schelpen gtt Slakken gtt Pattern formation (Biology) Computer simulation Shells Computer simulation Meerestiere (DE-588)4038330-1 gnd Schneckenhaus (DE-588)4370039-1 gnd Computersimulation (DE-588)4148259-1 gnd Meeresmuscheln (DE-588)4169248-2 gnd Meeresschnecken (DE-588)4169253-6 gnd Programm (DE-588)4047394-6 gnd Schale Biologie (DE-588)4052004-3 gnd Musterbildung (DE-588)4137934-2 gnd |
subject_GND | (DE-588)4038330-1 (DE-588)4370039-1 (DE-588)4148259-1 (DE-588)4169248-2 (DE-588)4169253-6 (DE-588)4047394-6 (DE-588)4052004-3 (DE-588)4137934-2 (DE-588)4060997-2 |
title | The algorithmic beauty of sea shells |
title_auth | The algorithmic beauty of sea shells |
title_exact_search | The algorithmic beauty of sea shells |
title_full | The algorithmic beauty of sea shells Hans Meinhardt. With contributions and images by Przemyslaw Rusinkiewicz and Deborah R. Fowler |
title_fullStr | The algorithmic beauty of sea shells Hans Meinhardt. With contributions and images by Przemyslaw Rusinkiewicz and Deborah R. Fowler |
title_full_unstemmed | The algorithmic beauty of sea shells Hans Meinhardt. With contributions and images by Przemyslaw Rusinkiewicz and Deborah R. Fowler |
title_short | The algorithmic beauty of sea shells |
title_sort | the algorithmic beauty of sea shells |
topic | Computersimulaties gtt Patroongeneratie gtt Schelpen gtt Slakken gtt Pattern formation (Biology) Computer simulation Shells Computer simulation Meerestiere (DE-588)4038330-1 gnd Schneckenhaus (DE-588)4370039-1 gnd Computersimulation (DE-588)4148259-1 gnd Meeresmuscheln (DE-588)4169248-2 gnd Meeresschnecken (DE-588)4169253-6 gnd Programm (DE-588)4047394-6 gnd Schale Biologie (DE-588)4052004-3 gnd Musterbildung (DE-588)4137934-2 gnd |
topic_facet | Computersimulaties Patroongeneratie Schelpen Slakken Pattern formation (Biology) Computer simulation Shells Computer simulation Meerestiere Schneckenhaus Computersimulation Meeresmuscheln Meeresschnecken Programm Schale Biologie Musterbildung Tropen |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010200836&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT meinhardthans thealgorithmicbeautyofseashells AT prusinkiewiczprzemysław thealgorithmicbeautyofseashells AT fowlerdeborahr thealgorithmicbeautyofseashells |