1
from mathematics to visual aesthetics.
2
.. collaboration initiated by Professor Sherri
Smith in the School of ArtDesign and Dr. Gordon
Kane in the Physics Department at The University
of Michigan Supported by Dean Bryan Rogers
about 10 teams of physicists and
artist/designers ventured into unknown
territory
3
.sounded like a lot of fun and I teamed with
Dr. Phil Bucksbaum on electrons
4
(No Transcript)
5
(No Transcript)
6
(No Transcript)
7
(No Transcript)
8
(No Transcript)
9
(No Transcript)
10
(No Transcript)
11
(No Transcript)
12
(No Transcript)
13
(No Transcript)
14
from mathematics to visual aesthetics.
15
from mathematics to visual aesthetics.
The word beautiful is defined as eminently
satisfying to the senses and the mind. It seems
to be applicable whenever a series of disparate
elements are brought together to form a memorable
pattern, a cohesive whole, a physical or
conceptual unity. Krome Barratt, intro to Logic
and Design in Art, Science and Mathematics
16
sharpen up on physics and review perceptions
17
10
103
105
107
109
1011
1013
1015
1020
10-13
10-11
10-9
10-7
10-5
10-3
10-1
1
102
10-14
104
108
106
1010
1014
1012
1016
10-12
10-8
10-10
10-6
10-2
10-4
10-18
the logics and perception of scale
18
1 meter
19
Mesopotamian gypsum (alabaster) statute of a
female orant - from NippUr, now Niffer or
Naffar 2700 BC, Baghdad, Irak
1
20
10
10-1
1
21
10
10-1
1
102
10-2
22
10
10-1
103
10-3
1
102
10-2
23
10
10-1
103
10-3
1
102
10-2
104
10-4
24
10
10-1
103
10-3
105
10-5
1
102
10-2
104
10-4
25
10
10-1
103
10-3
105
10-5
1
102
10-2
104
10-4
106
10-6
26
10
10-1
103
10-3
105
10-5
107
10-7
1
102
10-2
104
10-4
106
10-6
one micron
27
10
10-1
103
10-3
105
10-5
107
10-7
1
102
10-2
104
10-4
106
10-6
108
10-8
one micron
28
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-2
104
10-4
106
10-6
108
10-8
one micron
29
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
one micron
30
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
one micron
one Ångstrøm
31
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
one micron
one Ångstrøm
32
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
one micron
one Ångstrøm
one light year
33
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
one micron
one Ångstrøm
one light year
34
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
one micron
one Ångstrøm
one light year
35
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
one micron
one Ångstrøm
one light year
36
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
one micron
one Ångstrøm
one light year
37
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
the limitations of our senses defines a rather
narrow view of the universe - small or large
one micron
one Ångstrøm
one light year
38
so to help ourselves. we sense, aided by
science and technology
telescopes and space missions eg.
Fermilab and CERN eg.
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
one micron
one Ångstrøm
one light year
39
so to help ourselves. we sense, aided by
science and technology ..and when those fall
short we sense though our past and future
memories - reproductive or productive thinking
40
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
one micron
one Ångstrøm
one light year
41
Light year - the distance traveled by light
moving in a vacuum in the course of one year, at
its accepted velocity of 299,792,458 meters per
second (186,282 miles per second). ..
10.000.000.000.000.000 meters in a year E mc2
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
Elementary particle
one micron
one Ångstrøm
one light year
42
Dr. David Gerdes From the Top chapter
43
perception of the extreme unseen
10
10-1
10-3
10-5
10-7
10-9
Meters
10-14
1
10-2
10-4
10-6
10-8
10-10
10-12
Elementary particle
one micron
one Ångstrøm
1025
1020
1
Planck length Max Plancks Quantum Theory 1899
44
perception of the extreme unseen
10
10-1
103
10-3
105
10-5
107
10-7
109
10-9
1
102
10-14
10-2
104
10-4
106
10-6
108
10-8
1010
10-10
1012
10-12
1014
1016
10-18
1018
45
1
1
46

• To limit the possibilities, and set a creative
  space, the design specification read
• All the forms should be generated by one simple
  visual element, preferably expressed as ONE. The
  smallest whole number as an expression of a
  non-fractional value.
• 2. The particles must have the same basic form,
  yet reflect differences in mass, parities,
  functions and behavior.
• 3. There must be logical coherence between the
  particles according to the categorization and
  decay patterns of the Standard Model, and yet be
  open for interpretation of Supersymmetry, String
  Theory, Gravitational forces and Higgs
  Field/Particle.
• 4. The particles spin and directional velocity,
  requires a multidirectional visual quality.

47
1
1 Planck
48
(No Transcript)
49
(No Transcript)
50
The Z axis allows for added symmetries
51
The Z axis allows for added symmetries and
introduction of time
52
The Z axis allows for added symmetries and
introduction of time
53
(No Transcript)
54
(No Transcript)
55
(No Transcript)
56
The same super quadric shape introduced
perpendicular to the velocity axis and extruded
along the spin line
57
The same super quadric shape introduced
perpendicular to the velocity axis and extruded
along the spin line
58
(No Transcript)
59
(No Transcript)
60
(No Transcript)
61
(No Transcript)
62
(No Transcript)
63
(No Transcript)
64
(No Transcript)
65
(No Transcript)
66
(No Transcript)
67
(No Transcript)
68
(No Transcript)
69
(No Transcript)
70
Visual legend
71

• To limit the possibilities, and set a creative
  space, the design specification read
• All the forms should be generated by one simple
  visual element, preferably expressed as ONE. The
  smallest whole number as an expression of a
  non-fractional value.
• 2. The particles must have the same basic form,
  yet reflect differences in mass, parities,
  functions and behavior.
• 3. There must be logical coherence between the
  particles according to the categorization and
  decay patterns of the Standard Model, and yet be
  open for interpretation of Supersymmetry, String
  Theory, Gravitational forces and Higgs
  Field/Particle.
• 4. The particles spin and directional velocity,
  requires a multidirectional visual quality.

72
to capture the physical properties and
behavior for a visually clear and interesting
display and perhaps lead the mind to wander
73
The origin of the apices curvature is offset to
the center of gravity along the velocity
axis ...an inate geometric ability of equilibrium
74
Additive color scheme red anti-red
cyan green anti-green magenta blue anti-blue
yellow
75
Bottom Quark
Susy Up Quark
76
(No Transcript)
77
(No Transcript)
78
(No Transcript)
79
(No Transcript)
80
(No Transcript)
81
(No Transcript)
82
(No Transcript)
83
(No Transcript)
84
(No Transcript)
85
(No Transcript)
86
(No Transcript)
87
(No Transcript)
88
(No Transcript)
89
(No Transcript)
90
(No Transcript)
91
(No Transcript)
92
(No Transcript)
93
(No Transcript)
94
(No Transcript)
95
(No Transcript)
96
(No Transcript)
97
(No Transcript)
98
(No Transcript)
99
(No Transcript)
100
(No Transcript)
101
(No Transcript)
102
(No Transcript)
103
It is not everything that can be proved,
otherwise the chain of proof would be
endless. You must begin somewhere, and you must
start with things admitted, but
indemonstrable. These are the first principles
common to all sciences, which are called axioms
or common opinions.
104
(No Transcript)