The Magic of 2Manifold Sculptures Homage to Eva Hild Carlo H Séquin EECS Computer Science Division University of California Berkeley Hollow by Eva Hild Varberg 2006 ID: 791696
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Slide1
LASER, Stanford, Feb.15, 2018
The Magic of 2-Manifold SculpturesHomage to Eva Hild
Carlo H. Séquin EECS Computer Science DivisionUniversity of California, Berkeley
Slide2“Hollow” by Eva Hild,
Varberg, 2006
Slide3Eva Hild
An large collection of ceramic creations & metal sculptures
Slide4Hild Sculptures: Different Styles
“Bulbs” & “Funnels”+ many circular borders
Slide5Eva Hild
Ceramic surfaces
Slide6More Ceramic Hild Surfaces
Slide7Key Features
Surface, connecting: Rims & Funnels & TunnelsRimsFunnelsTunnels
Slide8Sculptures Defined by Key Features
Marked features:RimsFunnelsTunnels
Slide9“NOME”Non-Orientable
Manifold EditorPlace key features: Rims, Funnels, Tunnels;Connect their borders with surface patches;Smooth the assembly with CC-subdivision;Use offset-surfaces to thicken the 2-manifold;Create finely tessellated B-rep (STL-file);Send to 3D-Printer.
Slide10Computer-Aided Design Process
Modeling “Interruption” 3D-print
Slide11Room for Improvement
Here the tunnel is not as nicely roundedas in Hild’s original.
Slide12An Improved Model
Two more tunnels added.
Slide13“Hollow” by Eva Hild
, Varberg, (2006)Double-sided (orientable)Number of borders b = 1Genus g = 2 (after closure)2-hole torus with 1 puncture
Slide14Understanding “Hollow”
Front and back views & clay model
Slide15Modeling “Hollow” with NOME
Features – surface – 3D-print
Slide16Modeling Hild’s “Whole”
Original – clay model – key features – 3D-print
Slide17Two Different Approaches
Eva Hild:-- incremental (organic) growth-- avoid strict symmetry-- no clear plan surprising resultsMy CAD approach:-- clear plan of overall final structure-- find maximal symmetry to reduce design work:-- green: D3-symm; overall: D
1d=C2h
Slide18Extending the Paradigm
1, 2, 3 cross-tunnels2, 3, 4 Gabo undulations
Slide193 Cross-Tunnels
In a 3-fold symmetrical configuration
Slide20“Wolly” by Eva Hild
Free-form surfaces offer a bigger modeling challenge!
Slide21Topology of “Wholly”
2-sided, single border, genus 4
Slide22A Flexible, Parameterized Model
Polyhedral model, with high-level edit-controls
Slide23First, Not Very Successful Attempt
An FDM model of “Wholly” ?
Slide24Second Attempt with Same Set-Up
Wholly_A2: a more carefully tuned model
Slide25Comparison
Wholly_A1Wholly_A2Tunnels still not very round
Slide26Trying a New Approach
Combining 8 partial toroids into a flexible chain
Slide27Parameterization (2D concept proof)
Radii, heights, azimuth angles, tilt are adjustable.
Automatic adjustment of tunnel/tunnel separation.
Slide28Resulting 3D CAD Model
Wholly_B1
Slide29Model after Clean-up
Wholly_B1
Slide30Orientability
2-sided, 1-sided,orientable non-orientableCooling towerMoebius band
Hild: “Interruption”Dyck loop
Slide31Klein bottle (1882) Professor Felix Klein Cliff Stoll, Berkeley
Klein Bottles
Slide32Dyck Loops
3, 5, 7 Dyck disks in a cycle
Slide33A Less Regular Dyck Ring
5 Dyck funnels + a “bulb”CAD model 3D-print
Slide34Final Take: “Pentagonal Dyck Cycle”
Made it into the Nominees’ Galleryof the 2017 Bridges Art Exhibition.
Slide35Not a “Hild Sculpture”
Tetrahedral configuration of six “4-stub Dyck funnels”
Slide36Dodecahedral-Cluster of Genus 50
24 4-stub funnels, 48 tunnels,24-fold symmetry,single-sided, genus 50.
Slide37ConclusionsThank you, Eva
Hild !You are a wonderful inspiration.And while my models do not come close to the natural beauty of your ceramic surfaces,playing with the key elements of your sculptures has lead to some different, and intriguing surfaces.
Slide38Eva Hild: Snow Sculpture (2011)
Eva Hild