
For CONTENTS of present Part : See further below.
This whole Website consists of five Main Parts :
Further elaborating on the noëtic theory of organic evolution. Setting up Natural Philosophy (space, place, motion, time, qualities, and quantities). The theory of Being qua Being.
is about Substance and Being.
(where you are now)
SYMMETRY : Structure of Crystals, Group Theory, Promorphology.
Application of Promorphology to two-dimensional crystals.
Broadening of Ontological Theory. Snow Crystals and the Analogy between Crystals and Organisms. Categorical Laws. Thermodynamics.
Aristotelian metaphysics revisited. Predication, Signification, Theory of Natures, Intentional Logic.
New Metaphysical Theory (combination of the theory of SUBSTANCE with that of the IMPLICATE ORDER).
Application of the new theory to organic evolution in general, and to the EVOLUTION OF INSECTS especially.
Evolution of (all) insects (paleo-entomology).
Evolution of flight (and thus of wings) in insects.
Insect-evolution in terms of aut-ecology and in terms of the Implicate and Explicate Orders.
Continuation of the Special Series :
e-mail :
( Please write in ' Subject ' entry : ' METAPHYSICS ', in order for me to be able to distinguish your mail from spam )
Philosophy of Being
(HOMEPAGE)
Retrospect and continuation
Symmetry of three-dimensional Crystals :
Group Theory
The Total Symmetry of Three-dimensional Crystals
Part I. Matrices
The Total Symmetry of 3-D Crystals
Part II.
Group Theory
( C12 D2
Automorphism )
The Total Symmetry of 3-D Crystals
Part III.
Group Theory
( C6 D3 D6 (inner)Automorphism )
The Total Symmetry of 3-D Crystals
Part IV.
Group Theory
( C6 C3 C4 C2 C1 C7
Automorphism )
The Total Symmetry of 3-D Crystals
Part V.
Group Theory
( C12 Cosets
Homomorphism )
The Total Symmetry of 3-D Crystals
Part VI.
Group Theory
(Sequel C12 Cosets
Homomorphism )
The Total Symmetry of 3-D Crystals
Part VII.
Group Theory
( Cinfinite D3
Homomorphism
D6 C2 D2 )
The Total Symmetry of 3-D Crystals
Part VIII.
Group Theory
( D6
Homomorphy theory
D4 D5 Dinfinite )
The Total Symmetry of 3-D Crystals
Part IX.
Group Theory
( C4xC3 C6xC2
C2xC2=D2 D3xC2 )
The Total Symmetry of 3-D Crystals
Part X.
Group Theory
( C4xC2=C4i
C2xC2xC2=D2xC2
Automorphisms )
The Total Symmetry of 3-D Crystals
Part XI.
Group Theory
( CinfinitexCinfinite
CinfinitexC2
Dinfinite Cinfinite
Even/odd permutations )
The Total Symmetry of 3-D Crystals
Part XII.
Group Theory
( Relevance of group theory
Classification of simple groups
Symmetry groups
Indirect product
D4=C2semiC4 )
The Total Symmetry of 3-D Crystals
Part XIII.
Group Theory
( Sequel to symmetry groups : A4 S4=O
S4xC2=Oi A5
A5xC2 )
The Total Symmetry of 3-D Crystals
Part XIV.
Group Theory
( Cosets. D6 Q6 )
The Total Symmetry of 3-D Crystals
Part XV.
Group Theory
( Conjugation
Normal subgroups
D4 A4 Center
Centralizer )
The Total Symmetry of 3-D Crystals
Part XVI.
Group Theory
( Homomorphism
Quotient groups
Normal subgroups
D3 D4 A4
Cinfinite C5 C4 )
The Total Symmetry of 3-D Crystals
Part XVII.
Group Theory
( Automorphism
D4 )
The Total Symmetry of 3-D Crystals
Part XVIII.
Group Theory
( Automorphism
D3 C12 C6 x C2
Q4 )
The Total Symmetry of 3-D Crystals
Part XIX.
Group Theory
( Automorphism
Q4 Q6 S4 )
The Total Symmetry of 3-D Crystals
Part XX.
Group Theory
( Periodic 2D-patterns
P4mm )
The Total Symmetry of 3-D Crystals
Part XXI.
Group Theory
( Periodic 2D-patterns
P1 P2 P3 P4 )
The Total Symmetry of 3-D Crystals
Part XXII.
Group Theory
( Periodic 2D-patterns
P6 Pm Pg P2mm
P2gg P2mg )
The Total Symmetry of 3-D Crystals
Part XXIII.
Group Theory
( Periodic 2D-patterns
Cm C2mm
P4gm P6mm )
The Total Symmetry of 3-D Crystals
Part XXIV.
Group Theory
( Periodic 2D-patterns
P31m P3m1 )
SEQUEL TO GROUP THEORY
Two-dimensional patterns
Actual Structure and Growth of three-dimensional Crystals
The Chemical Lattice Types of Three-dimensional Crystals
The Shapes of Three-dimensional Crystals
The Thermodynamics of Crystal Growth
Twin Crystals
Tectology
Series
Introduction to Tectology
Tectology : Morphological Individuality. Cells, Organs, Antimers
Tectology : Morphological Individuality. Metamers
Tectology : Morphological Individuality. Persons and Colonies
Tectology : Physiological Individuality. Cells, Organs, Antimers
Tectology : Physiological Individuality. Metamers, Persons, Colonies
Basic Forms
Promorphological
System
Introduction to Promorphology
Anaxonia Homaxonia Polyaxonia
Protaxonia : Monaxonia
Stauraxonia homopola
Homopola sigmostaura
Stauraxonia heteropola :
Homostaura isopola
Homostaura anisopola,
Heterostaura
Autopola oxystaura
Autopola orthostaura
Allopola
Allopola amphipleura
Allopola zygopleura
Heteropola gyrostaura
Protaxonia spiraxonia
Spiraxonia allogonia
Spiraxonia isogonia, Concluding remarks on Promorphology
Basic Forms of the
Six Individuality Orders
Basic Forms of
C e l l s I
Basic Forms of
C e l l s II
Basic Forms of
O r g a n s
Basic Forms of
A n t i m e r s
Basic Forms of
M e t a m e r s
Basic Forms of
P e r s o n s
Basic Forms of
C o l o n i e s
e-mail : lovelace@hetnet.nl
Basic Forms
of C r y s t a l s
Promorphology of Crystals
Preparation I.
P4gm
Promorphology of Crystals
Preparation II.
P4gm
Promorphology of Crystals
Preparation III.
P1, P2, Pm
Promorphology of Crystals
Preparation IV.
Pg
Promorphology of Crystals
Preparation V.
Cm, P2gg, P2mm, P2mg, C2mm
Promorphology of Crystals
Preparation VI.
P4gm
Promorphology of Crystals
Preparation VII.
P4mm, P4, P3
Promorphology of Crystals
Preparation VIII.
P3m1
Promorphology of Crystals
Preparation IX.
P3m1
Promorphology of Crystals
Preparation X.
P3m1
Promorphology of Crystals
Preparation XI.
P31m
Promorphology of Crystals
Preparation XII.
P31m
Promorphology of Crystals
Preparation XIII.
P31m
Promorphology of Crystals
Preparation XIV.
P31m
Promorphology of Crystals
Preparation XV.
P31m, P3m1
Promorphology of Crystals
Preparation XVI.
P6, P6mm
Promorphology of Crystals
Preparation XVII.
P6mm
Elimination of glide translations I
Elimination of glide translations II
Preparation to a Promorphology of
3-D Crystals. Part I
Preparation to a Promorphology of
3-D Crystals. Part II
Preparation to a Promorphology of
3-D Crystals. Part III
Preparation to a Promorphology of
3-D Crystals. Part IV
Preparation to a Promorphology of
3-D Crystals. Part V
Promorphology of Crystals I
Promorphology of Crystals II
Promorphology of Crystals III
Theses on
Basic Forms
Promorphological Theses and Tables
Third Part of Website
a HOLISTIC Philosophy as an alternative world view
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