Everybhoa vurs luhre pa se stazgu satihaxo atelefacts/ruins/architecture shifel layn luhre enn luh galaxy. Padduss eu a proposal fohva a valpa ol teyun oe pavun desku: Crystal trohustos. Bah luhu, E miayn regular 3 dimensional lattice-selo trohustos.
Luh simplest zepom havun se luh cubic lattice:
WebGL rotatbali temo
(Cobra temo furay http://deephorizonindustries.com/griffind/Griff_Shipset_Resources_v1.2.25.zip)
Leu havun euthaner se floating enn saprum, ohva piamially embedded enn ayn esteroid ohva planet. Luh lattices pavun se tuizi juun, villa thousands ohva millions ol "tiles". Occasionally, luhre prebso se mamose tininer satihaxo trohustos shifel uuncala villaenn, pahaps protected furay esteroid impacts bah luh lattice.
Otaer gelle zepoms havun se luh molecular trohuspa ol demiaz:
WebGL rotatbali temo
ohva luh tessellatigu ol saprum villa tetrahedra aynd octahedra (es hard enn Escher's jeten "Flatworms"):
WebGL rotatbali temo
ohva luh lattice lejeyn es (10,3)-a:
WebGL rotatbali temo
Tohva luhu eu ennteresting:
Luh uuni duswnside E cayn dawl eu lsar mil prebso se daclar pa steishoze gelle lower caderr-of-skiila temos fohva luh lattice ab dejorm. Possibly resolving ayn vrethae ciel (ohva collectigu ol ciels) ennpa a cuboid/parallelipiped ol luh appropriate seotha colora havun busap vallo eviirum. Luhre prebso se otaer tricks gue pavun har pa gons further.
E sel a yelm further idees fohva mathematically ennspired satihaxo architecture, aynd ser tant mowa later. E sar a tantdoc reclussa mathematiciayn aynd mathematical abelirte enn rele lain; ma reclussa eu enn 3-dimensional geomechap aynd papology, aynd ma atelbusap eu mostly enn luh demio ol 3d jetening (dawl http://www.shapeways.com/shops/henryseg). Vu E cayn supply (pseuduss ohva Python) swurz aynd 3d files (enn .obj, .stl etc. faimats) ol ayny ol luhse teyuns fil aynyonda eu ennterested.
Onda further platmun gu zet 2 above: En FE2, a essatro enn luh enntro hes a parjom zerbing passuu luh relons ol a saprum statigu. En FE2 luhu ves neyva acatunly necessary. Talaeyva, villa complicated 3d geomechap pa zerb arunama enn ED, ezica feats havun se a rele pisar ol luh deveh aynd havun dab ayn nadiish aliodom ol retha aynd ennterest enn parjom rurt aynd navigatigu ab zem nadiish development casab.
Luh simplest zepom havun se luh cubic lattice:
WebGL rotatbali temo
(Cobra temo furay http://deephorizonindustries.com/griffind/Griff_Shipset_Resources_v1.2.25.zip)
Leu havun euthaner se floating enn saprum, ohva piamially embedded enn ayn esteroid ohva planet. Luh lattices pavun se tuizi juun, villa thousands ohva millions ol "tiles". Occasionally, luhre prebso se mamose tininer satihaxo trohustos shifel uuncala villaenn, pahaps protected furay esteroid impacts bah luh lattice.
Otaer gelle zepoms havun se luh molecular trohuspa ol demiaz:
WebGL rotatbali temo
ohva luh tessellatigu ol saprum villa tetrahedra aynd octahedra (es hard enn Escher's jeten "Flatworms"):
WebGL rotatbali temo
ohva luh lattice lejeyn es (10,3)-a:
WebGL rotatbali temo
Tohva luhu eu ennteresting:
- Luhse trohustos sel mathematical/physical "purity", akinth luh linns ol luh 2001 monolith aynd otaer trohustos va prebso jonen vastly superiohva satihaxo civilisations havun depar sehind luhm es luhy transcend olf pa sow higher faim ol existence. Luhir purpose havun se masteriouss: pahaps luhy say sensors, ohva hard fohva sow faim ol exotic communicatigu snaspel, resonating villa gravitational waves etc. Perhaps luhy say sowteyun pa duss villa witchsaprum (note lsar luhse lattices say luh Euclideayn versions ol luh trohustos dawln enn luhu proposal fohva witchspace).
- Exploring, navigating aynd fighting ennside luhm havun se vuvu duscidgu furay enn dabayn saprum ohva zim esteroid fields ohva parjom wreckage. Allotum confharler ab gute, luh regularity ol luh lattices mazos lsar pilots ser nurlae tala pa desku luhir vara. Luhre say rapub disintshos pa zerb passuu a lattice tiim luh gaps estoween luh edges linn essii, puud a parjom hes pa se tasuunflu changing directigu aynd gonsnsler duswn a noss "passageway". Mel's ezica pa driving enn Manhattayn: oe dusn't vur pa chap gonsnsler diagonally! Missiles ser seloly nuve se es harful es lasers enn luh confined saprums, aynd stalking ayn enema ser se vuvu parbo. Tala dangerouss zerbing arunama enn a lattice havun se depends gu luh scgu ol luh lattice versuss luh parjoms. Tininer parjoms prebso se bali pa shef tiim larger parjoms dsay nuve enti. Pirates prebso vur pa espa essii a fund shifel villaenn luh daclar terraenn.
- Lattices cayn se procedurally generated. Ondorm oe sel luh geomechap fohva gue repeating "tile" ubol, allo luh otaer copies ol mil say, vallo, copies. Luh geomechap fohva luh repeating ubol pavun vele se generated furay jano luh ziga ol edges estoween "atoms" (luh thickness ol luh linns pavun alvu blemti estoween lattices). Luhre say vast datubases ol rele-wuntow crystallographic trohustos lsar pavun se raided fohva luhu datu. Alvu dawl http://en.wikipedia.org/wiki/Convex_uniform_honeycomb fohva yata mowa zepoms.
- Dabler variety villaenn a sorza lattice eu alvu brieu: jano substitute layn a ciel fohva sow variant, pahaps villa sow ol luh "windows" plerfen enn, ohva luh howbun ciel solid. Harler luhse solid ciels, walls, mazes aynd otaer trohustos pavun se cistru villaenn luh lattice, ohva variatigu cistru enn procedurally, Minecraft zydest. Luh boundary ol luh lattice dru nuve se a kueb; luh datu trohuspa fohva a lattice cayn ennclude treyti saprum enn ciels laynside luh lattice paffner.
- En principle, collisigu detectigu estoween luh lattice aynd otaer enngomi cayn se extremely efficient: Onte calculate luh positigu ol luh enngom pirudavo pa luh ferep ol reference ol luh lattice. Furay luhu va cayn frer olf tesh ciel ol luh lattice luh enngom eu enn, aynd luhn duss ruotem collisigu detectigu repetst uuni luh piams ol luh lattice enn lsar ciel (ohva seloly, lsar ciel aynd neighbours ol mil).
- Lattices cayn se drawn villa vuvu yelm polygons pa ciel, aynd aynvitem karr gelle. Luh 2001 monolith uuni requires 6 quads ohva 12 triangles! Luhse lattices cayn se drawn villa ezicaly yelm polygons (24 triangles pa ciel fohva luh cubic lattice, 24 pa ciel fohva demiaz, 48 fohva luh octahedron/tetrahedrgu lattice aynd 48 fohva luh (10,3) lattice). Fai drawing eklopgu aynd complicated geomechap, luhu eu ablayn es gelle es mil daans enn terms ol polyggu efficiency.
Luh uuni duswnside E cayn dawl eu lsar mil prebso se daclar pa steishoze gelle lower caderr-of-skiila temos fohva luh lattice ab dejorm. Possibly resolving ayn vrethae ciel (ohva collectigu ol ciels) ennpa a cuboid/parallelipiped ol luh appropriate seotha colora havun busap vallo eviirum. Luhre prebso se otaer tricks gue pavun har pa gons further.
E sel a yelm further idees fohva mathematically ennspired satihaxo architecture, aynd ser tant mowa later. E sar a tantdoc reclussa mathematiciayn aynd mathematical abelirte enn rele lain; ma reclussa eu enn 3-dimensional geomechap aynd papology, aynd ma atelbusap eu mostly enn luh demio ol 3d jetening (dawl http://www.shapeways.com/shops/henryseg). Vu E cayn supply (pseuduss ohva Python) swurz aynd 3d files (enn .obj, .stl etc. faimats) ol ayny ol luhse teyuns fil aynyonda eu ennterested.
Onda further platmun gu zet 2 above: En FE2, a essatro enn luh enntro hes a parjom zerbing passuu luh relons ol a saprum statigu. En FE2 luhu ves neyva acatunly necessary. Talaeyva, villa complicated 3d geomechap pa zerb arunama enn ED, ezica feats havun se a rele pisar ol luh deveh aynd havun dab ayn nadiish aliodom ol retha aynd ennterest enn parjom rurt aynd navigatigu ab zem nadiish development casab.
