Adaptive Manifold Assemblages | AADRL

ADAPTI VEMANI FOLD ASSEMBLAGES

Cont i nuous&I nf or malSpaceResear ch Tai zhongChen YuzhiXu SuyangLi YuxuanZhao

PURPOSE Recentt echnol ogi caldevel opment sar edr amat i cal l ychangi ngt her ol eoft hear chi t ectandt hei r abi l i t yt oconcei veandmanuf act ur espace.Addi t i vemanuf act ur i ngenabl est hef abr i cat i onof compl exspat i alandgeomet r i cf or ms,qui ckl yandeconomi cal l y.Thi sf r eedom i nf abr i cat i onhas enabl ed mat er i alor gani zat i on t o pl ay a si gni f i cantr ol ei n def i ni ng physi caland per cept ual cont i nui t i esasi mpor t antcomponent soft hear chi t ect ur alspace.

TASK Thi scont i nuousar chi t ect ur alspacewi l lbebr okendowni nt oasetofsi mpl epar t swhi chwi l lbe st udi edasar econf i gur abl eassembl ysyst em.

Teamswi l ldevel opananal ogcodi ngl anguaget odescr i be r ecur si ve sequences ofassembl yt hatyi el dr adi cal l y di f f er ent i at ed behavi or s acr oss f i el d condi t i onst oachi eveanadapt abl ear chi t ect ur all anguage.

Wehopet ouset hebasi cel ement sofnat ur et of or m,def i ne,anddevel opt hecont i nuousspace syst em;dof ur t herr esear chonpr omi si ngpossi bi l i t i es.

AADRL17/ 19 Wor kshop1 Di r ect edbyTysonHosmer

GODEN RATI OS&FI BONACCISEQUENCE I nmat hemat i cs,t heFi bonaccinumber sar et henumber si nt hef ol l owi ng i nt egersequence,cal l edt heFi bonaccisequence,andchar act er i zedbyt he f actt hatever ynumberaf t ert hef i r stt woi st hesum oft het wopr ecedi ngones: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. . .

Thegol denr at i oappear si nsomepat t er nsi nnat ur e,i ncl udi ngt hespi r alar r angementof l eavesandot herpl antpar t s.ThePar t henon' sf aรงadeaswel lasel ement sofi t sf aรงadeand el sewher ear esai dbysomet obeci r cumscr i bedbygol denr ect angl es.

Gol denr at i o,i nMat hemat i cs,i sFi bonaccisequence.TheFi bonaccinumber sar et henumber s i nt hef ol l owi ngi nt egersequencewhi chchar act er i zedbyt hef actt hatever ynumberaf t ert he f i r stt woi st hesum oft het wopr ecedi ngones: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. . .

I fyouonl yknew t hemagni f i cenceoft he3,6and9,t henyouwoul dhaveakeyt ot he uni ver se. �

-Ni kol aTesl a

Whenst ar t i ngt heFi bonaccisequencewi t ht henumber s1,2,4,5,7,8,t heyal lr epeatt hea l oopever y24number s.

Sequencesst ar t i ngf r om 3and6r epeatt hei rst r i ngsatt he8t hsequencewhi l e9i si nf i ni t eand neverchangi ng.Thi si si mpor t ant ,butt hati sl at er .

SOLUTI ON TO TESLA’ S369

el ement s

3696639

2D combi nat i on

6393369

3D combi nat i on

Acl osedandci r cul ar2D pat t er nwasobt ai nedwhenappl yi ngt hesesequencest ot her adi usof 45degr eear cs.

Weusedt henor mal i zedel ement sevol vedf r om t hemodul arcur veel ement soft hecur ve “ 6393366”t of or mt hespace.

MULTI CURVESSPACESYSTEM

cur ve mesh

t hr eshol d vol ume

cur ve pl anarcur ve

spat i alcur ve

mesh

t hr eshol d vol ume

br eaki ngpoi nt s

cor r espondent poi nt s

meshedges

meshvol ume

t hr eshol d

t hi ckness

MULTI CURVESSPACESYSTEM

Ther esear chand devel opmentofcont i nuousspacesyst em ofmul t i cur vesegment ssyst em.

Thi sopt i oni sabandonedbecauseoft hel eakofcont i nui t y.

SI NGLECURVESPACESYSTEM

cur ve mesh

t hr eshol d vol ume

pl anarcur ve

spat i alcur ve

mesh

t hr eshol d

br eaki ngpoi nt s

cor r espondent poi nt s

meshpat h

meshvol ume

addeddi vi si ons

smoot hf or m

SI NGLECURVESPACESYSTEM

Ther esear chanddevel opmentofcont i nuousspacesyst em ofsi ngl ecur vesyst em.

Byconsi der i ngt hef or m ofcoher enceandpot ent i aldevel opment ,wechoset hel astmodel .

ELEMENTSSTUDY

t ype3

t ype6

el ement sst udy

r econf i gur abl e modul ar s

segment s

t ype9

t ypey

We ar et r yi ng t o br eak t hr ough t he exi st i ngl i mi t at i onsoft hef or msbyusi ng t he basi c el ement s of " 3, 6, 9" ,t o expl or e ot her possi bi l i t i es and cr eat e cont r ol l abl e par amet er i zed syst ems.

JOI NTSTUDY

2

5

3

1

2

3

4

5

6

7

8

4

Theper f ectj oi ntmustbemostst abl e,si mpl eandf i tef f ect i ve.

Wedesi gnedandt estt hej oi nt sandevent ual l ychoset he4t hone.

COMBI NATI ON

cor e

segment s

ext er nalsyst em

aggr egat i on

Combi ni ngt hemodul ar swi t hj oi nt ssetont hesegement s,t hesyst em appear ed.

FI NALMODEL

cor e

cor e

cor et osegment

segment1

j oi nt s segment2

segmentt osegment segment3 pr ot ot ype

combi ne

f or m t ypeA

br i dges

segment4

t ypeB segment5 t ypeC

segment s

segment6