2015 seminar to architecture students at Washington University (2015)

Leaves as the Atlas of world agriculture: an example from studies of tomato introgression lines

The Spandrels of San MarcoStephen J. Gould & Richard C. Lewontin (1979)

Imitation, genetic lineages,and time influenced themorphological evolutionof the violinDan ChitwoodDonald DanforthPlant Science CenterSeptember 15, 2015

How to measure shape:

Shape = { xn, yn } How to measure shape:Coordinates and landmarks

How to measure shape:Chain code




01234567


01234567


012345670


012345670 0


012345670 0 0


012345670 0 0 7


012345670 0 0 7 0


012345670 0 0 7 0 6


012345670 0 0 7 0 6 0


012345670 0 0 7 0 6 0 6


012345670 0 0 7 0 6 0 6 6


012345670 0 0 7 0 6 0 6 6 6


012345670 0 0 7 0 6 0 6 6 66


012345670 0 0 7 0 6 0 6 6 66 6


012345670 0 0 7 0 6 0 6 6 66 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1


012345670 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0


0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0

Shape ={}

How to measure shape:Elliptical Fourier Descriptors


Kuhl and Giardina Computer Graphics & Image Processing (1982)

How to measure shape:Elliptical Fourier DescriptorsKuhl and Giardina Computer Graphics & Image Processing (1982)Kuhl and Giardina Computer Graphics & Image Processing (1982)


0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0

Shape ={}


a1, a2, a3 anb1, b2, b3 bnc1, c2, c3 cnd1, d2, d3 dn

Shape ={}Harmonic coefficients:


The morphological evolution of violins:Predecessors and relatives of the violin

The morphological evolution of violins:Predecessors and relatives of the violin

The morphological evolution of violins:Violin family members



The morphological evolution of violins:The effects of time on shape

The morphological evolution of violins:The effects of imitation on shape

The morphological evolution of violins:The effects of human relatedness

The morphological evolution of violins:The effects of human relatedness

Laura Miller

Beyond the desert tomato .

Beyond the desert tomato .30,000 genes, 8 different species

Beyond the desert tomato .30,000 genes, 8 different species

High-throughput phenotypingto identify drought-resistant genes

Where do drought-resistant traits originate?The meristem

Mature organsStem cellsThe meristem

Husbands, Chitwood, et al. (2009) Genes & Dev.We measure mature organ phenotypes.Why? And are they relevant?

Heisler et al. (2005) Current Biology

Smith et al. (2006) PNAS

MacotoMurayama

Seed CathedralThomas Heatherwick

Rolling BridgeThomas Heatherwick

Urban tissue experimentMrton Jancs

Dune architectureSporosarcina pasteuriiMagnus Larsson

Self-organizing robot swarms

Nath et al. Science 2003

Self-organizing robot swarms

@nervous_jessica

@nervous_jessica

2015 seminar to architecture students at Washington University (2015)

Science

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