Method I:FIBONACCI MULTIGRID METHOD (* calculate the vertices for - - PowerPoint PPT Presentation

▶
method i fibonacci multigrid method
SMART_READER_LITE
LIVE PREVIEW

Method I:FIBONACCI MULTIGRID METHOD (* calculate the vertices for - - PowerPoint PPT Presentation

Jul 10, 2023 25 likes •206 views

Method I:FIBONACCI MULTIGRID METHOD (* calculate the vertices for each tile *) Tiles-vertices={}; Tiles-vertices=N@Table[Flatten[ Table[ k1* [[ Tiles-rs[[j,1]]]]+ k2* [[ Tiles-rs[[j,2]]]]+ (Tiles-k[[j,Tiles-t-list[[j,1]]]]+0)* [[

slide-1
SLIDE 1
slide-2
SLIDE 2

Method I:FIBONACCI MULTIGRID METHOD

Pentagrid

(* calculate the vertices for each tile *) Tiles-vertices={}; Tiles-vertices=N@Table[Flatten[ Table[ k1*ϵ[[Tiles-rs[[j,1]]]]+ k2*ϵ[[Tiles-rs[[j,2]]]]+ (Tiles-k[[j,Tiles-t-list[[j,1]]]]+0)*ϵ[[Tiles-t-list[[j,1]]]]+ (Tiles-k[[j,Tiles-t-list[[j,2]]]]+0)*ϵ[[Tiles-t-list[[j,2]]]]+ (Tiles-k[[j,Tiles-t-list[[j,3]]]]+0)*ϵ[[Tiles-t-list[[j,3]]]], {k1,Tiles-k[[j,Tiles-rs[[j,1]]]]+0,Tiles-k[[j,Tiles-rs[[j,1]]]]+1}, {k2,Tiles-k[[j,Tiles-rs[[j,2]]]]+0,Tiles-k[[j,Tiles-rs[[j,2]]]]+1} ] ,1] ,{j,1,num Tiles}];

slide-3
SLIDE 3
  • (* calculate the vertices for each tile *)
  • Tiles vertices={};
  • Tiles vertices=N@Table[Flatten[
  • Table[
  • k1*ϵ[[Tiles rs[[j,1]]]]+
  • k2*ϵ[[Tiles rs[[j,2]]]]+
  • (Tiles k[[j,Tiles t list[[j,1]]]]+0)*ϵ[[Tiles t list[[j,1]]]]+
  • (Tiles k[[j,Tiles t list[[j,2]]]]+0)*ϵ[[Tiles t list[[j,2]]]]+
  • (Tiles k[[j,Tiles t list[[j,3]]]]+0)*ϵ[[Tiles t list[[j,3]]]],
  • {k1,Tiles k[[j,Tiles rs[[j,1]]]]+0,Tiles k[[j,Tiles rs[[j,1]]]]+1},
  • {k2,Tiles k[[j,Tiles rs[[j,2]]]]+0,Tiles k[[j,Tiles rs[[j,2]]]]+1}
  • ]
  • ,1]
  • ,{j,1,num Tiles}];
slide-4
SLIDE 4

Fibonacci spaced Pentagrid

Method I:FIBONACCI MULTIGRID METHOD

slide-5
SLIDE 5

Method I:FIBONACCI MULTIGRID METHOD

slide-6
SLIDE 6

Method I:FIBONACCI MULTIGRID METHOD

slide-7
SLIDE 7

Method I:FIBONACCI MULTIGRID METHOD

slide-8
SLIDE 8

Method I:FIBONACCI MULTIGRID METHOD

slide-9
SLIDE 9
slide-10
SLIDE 10
slide-11
SLIDE 11

Method I:FIBONACCI MULTIGRID METHOD

slide-12
SLIDE 12
slide-13
SLIDE 13

Method II: Composite from E8 QCs

slide-14
SLIDE 14

Method II: Composite from E8 QCs

slide-15
SLIDE 15

Method II: Composite from E8 QCs

slide-16
SLIDE 16

Fibonacci icosagrid Compound quasicrystal Golden Composition Tetragrid IcosaGrid Subset of Fibonacci tetragrid Elser-Sloane QC Fibonacci tetragrid Fibonacci Spacing 3D Tetra- Slicing Enrichment Subset of E8 Golden Composition

1 2A F B E C N O N O R S ± ฀ ¬\Î ¶Ña

slide-17
SLIDE 17

Code in QSN guided from E8

  • The binary on/off selection from E8 directly

mapped to the on/off selection in QSN, as the possibility space.

  • Ray has given other proposals on the coding in

QSN

slide-18
SLIDE 18

600-CELL OVERLAP TYPES