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Tubular Sculptures A 3D Sketchbook of Ideas

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Title: Tubular Sculptures A 3D Sketchbook of Ideas


1
Tubular Sculptures A 3D Sketchbook of Ideas
  • Carlo H. Séquin, EECS U.C. Berkeley

2
Dedication to Frank Smullin (1943 1983)
Creator of tubular sculptures
3
Frank Smullin keynote speaker at the Design
Automation Conference, Nashville, 1981
Centerpiece Fit to be Tied 9 sections of
metal pipe joined by bolted flanges, gradually
being transformed from a straight pipe into a
tight knot.
  • The defining moment of my initiation to 3D
    graphics and geometrical sculpture.

4
Gradual Tying of a Knot
?
  • Basic Operation

5
Frank Smullins CAD Techniques
  • Tubular sculptures Figure-8 Knot at Duke U.
  • Apple II program for calculating intersections

6
Frank Smullin (Nashville, 1981)
  • The Granny-knot has more artistic merits than
    the square knot because it is more 3D its ends
    stick out in tetrahedral fashion...

Granny Knot
Square Knot
7
Granny-Knot as a Building Block
Smullin TetraGranny Core of
Granny-Knot
  • Four tetrahedral links, like a carbon atom, can
    be assembled into diamond-lattice ...

... leads to the Granny-Knot-Lattice ?
8
Strands in the Granny-Knot-Lattice
9
Granny-Knot-Lattice (Séquin, 1981)
10
Graduate course, Fall 1983 Creative Geometric
Modeling
11
My First Art Show, Fall 1983
  • Tubular center piece

12
Large-scale Free-form Sculptures
Pax Mundi II Hyperbolic Hexagon
II
  • are expensive

13
Charles Perry Equinox Dallas, TX
14
Tubular Sculptures
  • Steam Pipe Sculpture by shade

Ribbed Mace by Charles Perry
15
Joining Tubular Elements . . .
  • Gas-Welding Class by Michael Rivera

Multipolygonal Spirals Javier Carvajal
16
Talk Structure
  • Dedication
  • Personal History
  • Survey of Possibilities
  • Ruled Surfaces, Ribbed Sculpture
  • Tubular Sculptures that Can Change

17
PART III Survey of Possibilities
  • What artistic possibilities do tubes provide ?
  • What have artists done with tubular elements ?
  • Is there a role for CAD in this type of
    sculptures ?

18
1.) Just Cylinders !
  • Cant go much simpler than this !

19
Cylinders in Architecture
Chapel at MIT
La Défense, France
20
Cylinders as Sculptures
Max Bill
21
Cylindrical Anamorphic Art
22
Multiple Cylinders
23
Roger Berry Rising Wave, Oyster Bay
24
FUNtain Hydraulophone, Ontario
25
Elegant Home Appliances
  • Water Faucet by Water Decor Inc.
  • Based on simple cylindrical elements

26
Alexander Liberman Gate of Hope
  • COE, Univerity of Hawaii at Manoa

27
Alexander Liberman Olympic Iliad
28
Rinus Roelofs Bar Tetrahedron
29
Mitering Becomes an Issue !
30
Branching Tubes
31
Tutorial Models Used in My Courses
32
Max Bill (1938-39) Construction with 30 Similar
Elements
33
(No Transcript)
34
Buffalo Bayou Art Park in Houston, TX
35
Stephen Adams
  • Bad Plumbing (2003) Copper
    Figure (2004)

36
Art or Just Bad Plumbing ?
  • From Dark Roasted Blend, Weird Wonderful
    Things
  • http//www.darkroastedblend.com/2008/03/disturbing
    -wiring-part-3.html

37
A Modular Type of Tube Junctions
38
A Particularly Ingenious Type of Tube Junction
  • Marc Pelletier Bridges 2002

39
Is There a Role for the Computer ?
40
(No Transcript)
41
Impossible Cylinder
  • original drawing by Istvan Orosz
  • computer image by Gershon Elber

42
Realization of Impossible Cylinder
  • This cylinder is a double-twisted band

43
Jack Snoeyink 30 Aluminium Tubes
44
2.) Symmetrical Tubular Tangles
  • Built without the need of computers . . .

45
George Hart 72 Pencils CMYK
46
Purchased ca. 1985, in Berkeley
47
Sculptures by Akio Hisume _at_ G4G8
48
Akio Hisume Spaceball
49
Séquin Skewed Tangle of 12 Cylinders
  • Forming four symmetrically interlinked
    skewed triangles

50
Jack Snoeyink 30 Aluminium Tubes
  • Five interlinked, skewed tetrahedra a grouping
    that cannot be taken apart with 2 hands

51
Orderly Tangles
  • 20 interlinked triangles Geoff Wyvill
    Nova Plexus
  • More Orderly Tangles in the book by Alan Holden

52
Akio Hisume Sunflower-Tower
  • Fairchild Tropical Garden, Miami, Florida
  • using 300 4m bamboo poles, (1986-2003)

53
Kenneth Snelson Needle Tower
  • Self-similar tapered tensegrity structure

54
Allow the Tube to Bend !
55
3.) Tori and Chain Links
  • Bend cylinder into a closed loop

56
Oldest Artistic Torus ? (ca. 3000 BC)
  • Seen in Science Museum in Vienna, Sept. 2008

57
John Robinson Bonds of Friendship
1979
58
Helaman Ferguson Two Canoes
59
Helaman Ferguson Two Canoes
  • Original model by Helaman Ferguson, 1995

60
Helaman Ferguson Two Canoes
  • How it was assembled

61
Three Tori
Torus! Torus! inflatable structure by Joseph
Huberman
62
Three Tori
  • Borromean Rings by Alex Feingold

63
Carlo Séquin Borromean Tangle 5
  • No two loops are pair-wise interlinked !

64
Nobbly Wobblys
  • Doggie Solutions, http//www.doggiesolutions.co.uk
  • Every two loops pair-wise interlink !

65
Chain Links
66
Forming Linear Chains
67
Chainmaille
68
Carlo Séquin Defying Gravity
69
4.) Free-form Tubular Elements
  • Cosimo Cavallaro Knot (1996) DeCordova
    Park, Lincoln, MA

70
José de Rivera
  • Construction 5B Construction
    35

71
José de Rivera
72
PART IV Iterated Cylinders and Tori ? Ribbed
Surfaces
  • Iterating thin tubular elements in space with
    small variations in shape and placement leads to
    ribbed transparent surfaces which is a nice
    sculptural paradigm.

73
Ribbed Surfaces for Visualization
Mathematicians Models and Sculptures
A ruled surface Single-shell hyperboloid
String art by
Ray Schechter
74
Non-Orientable 4D Cells (Mathematical
Visualization)
  • Hemi-cube ( 4 quadrilaterals )

Hemi-dodecahedron ( 6 pentagons )
75
Iterated Hula-Hoops
  • Cross-cap model Twisted
    goblet

76
Ribbed Surfaces Iterated Tube Segments
77
Charles Perry Harmony (Hartford, CT)
  • Two semi-circular guide rails.
  • Four ribbed surfaces.
  • Ribs are of varying curvature.

78
Charles Perry Solstice (Tampa, FL)
79
(No Transcript)
80
Parameterization of Solstice
  • (3, 2) torus knot
  • Curved ribs in nearly triangular configuration

81
Parameterization of Solstice
  • 3 major elements to control

Staggering of ribs rib offset along guide rail
Rib shapes concave hyperbolic triangles
Guide rail (3, 2) torus knot
82
Solstice and its Emulation
Emulation (3, 2) knot
Solstice (3, 2) knot
83
Solstice and Variations
Modified (2, 3) knot
Solstice (3, 2) knot
84
Solstice and Variations
Modified (4, 3) knot
Solstice (3, 2) knot
85
(4, 3) Torus Knot
  • Convex ribs to show torus

Concave ribs ? Solstice
86
Sweeping Ribs
Single rail 0, 0.5) ? 0.5, 1.0)
Two rails 0, 0.5 ? 0.0, 1.0
87
Specialized Guide Rails
  • For Solstice we use (p, q) torus knots

88
Sweeping Rib Offset
Rib Offsets
0
83
303
360
89
Rib Shape Parameterization
  • Cubic Hermite
  • Tangent directions and magnitudes at both ends
  • Circular Arcs
  • Embedding plane
  • Turning angle

Rails
Rails
?
90
Cubic Hermite Ribs
  • End tangents specified in terms of Frenet
    frames of guide rails.

n
b
t
V
91
Symmetric, Planar Ribs
  • Constrain ribs to be symmetric, planar.
  • Select a plane through chord with an angle
    against rail tangent.
  • Rib tangent angles are offset from chord or a
    curve offset d from chord is set.

92
Rib Shape Modification in Solstice
93
Solstice and Variations
Modified (4, 5) knot
Solstice_2 (3, 2) knot (with denser ribs)
94
Charles Perry Early Mace (Atlanta)
95
Charles Perry Early Mace
Emulation
Variation with straight ribs
Variation with convex ribs
96
Ribbed Figure-8 Knot
97
C. Perry Eclipse Hyatt, S.F.
98
C. Perry Eclipse Hyatt, S.F.
99
PART V 3D Calligraphy and Changeable Sculptures
  • Just lines in space ?

100
Bill Culberts Sky Blues
101
Michael Hayden Skys the Limit
102
Neon Calligraphy
  • Russ RuBert Positronic Neural Net

Jeppe Hein Changing Neon Sculpture
103
Use of Pliable Material
104
Richard Serra Lead Piece
105
Richard Zawitz Museum Tangle (1982)
  • A deformable unit with 18 quarter-circle segments

106
Richard Zawitz Statue of Infinity (2003)
107
(No Transcript)
108
(No Transcript)
109
Naef Wooden Toys (flexible) Ellipso
110
Naef Wooden Toys Caterpillar
111
Tubular People
112
QUESTIONS?
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