Densest Local Packings - 2D

 

Rmin(N) Tables

The best Rmin(N) values and local packing fractions φ(Rmin(N) + 0.5), from N=1 to N=109 and for N corresponding to full shells of the triangular lattice from N=120 to N=348: RminTable.pdf.

Visualization of some DLP optimal packings

The following links contain a single image and coordinates for one of possibly many DLP optimal packings for each value of N.

N=11:   Image and Coordinates
N=12:   Image and Coordinates
N=13:   Image and Coordinates
N=14:   Image and Coordinates
N=15:   Image and Coordinates
N=16:   Image and Coordinates
N=17:   Image and Coordinates
N=18:   Image and Coordinates
N=19:   Image and Coordinates
N=20:   Image and Coordinates
N=21:   Image and Coordinates
N=22:   Image and Coordinates
N=23:   Image and Coordinates
N=24:   Image and Coordinates
N=25:   Image and Coordinates
N=26:   Image and Coordinates
N=27:   Image and Coordinates
N=28:   Image and Coordinates
N=29:   Image and Coordinates
N=30:   Image and Coordinates
N=31:   Image and Coordinates
N=32:   Image and Coordinates
N=33:   Image and Coordinates
N=34:   Image and Coordinates
N=35:   Image and Coordinates
N=36:   Image and Coordinates
N=37:   Image and Coordinates
N=38:   Image and Coordinates
N=39:   Image and Coordinates
N=40:   Image and Coordinates
N=41:   Image and Coordinates
N=42:   Image and Coordinates
N=43:   Image and Coordinates
N=44:   Image and Coordinates
N=45:   Image and Coordinates
N=46:   Image and Coordinates
N=47:   Image and Coordinates
N=48:   Image and Coordinates
N=49:   Image and Coordinates
N=50:   Image and Coordinates
N=51:   Image and Coordinates
N=52:   Image and Coordinates
N=53:   Image and Coordinates
N=54:   Image and Coordinates
N=55:   Image and Coordinates
N=56:   Image and Coordinates
N=57:   Image and Coordinates
N=58:   Image and Coordinates
N=59:   Image and Coordinates
N=60:   Image and Coordinates
N=61:   Image and Coordinates
N=62:   Image and Coordinates
N=63:   Image and Coordinates
N=64:   Image and Coordinates
N=65:   Image and Coordinates
N=66:   Image and Coordinates
N=67:   Image and Coordinates
N=68:   Image and Coordinates
N=69:   Image and Coordinates
N=70:   Image and Coordinates
N=71:   Image and Coordinates
N=72:   Image and Coordinates
N=73:   Image and Coordinates
N=74:   Image and Coordinates
N=75:   Image and Coordinates
N=76:   Image and Coordinates
N=77:   Image and Coordinates
N=78:   Image and Coordinates
N=79:   Image and Coordinates
N=80:   Image and Coordinates
N=81:   Image and Coordinates
N=82:   Image and Coordinates
N=83:   Image and Coordinates
N=84:   Image and Coordinates
N=85:   Image and Coordinates
N=86:   Image and Coordinates
N=87:   Image and Coordinates
N=88:   Image and Coordinates
N=89:   Image and Coordinates
N=90:   Image and Coordinates
N=91:   Image and Coordinates
N=92:   Image and Coordinates
N=93:   Image and Coordinates
N=94:   Image and Coordinates
N=95:   Image and Coordinates
N=96:   Image and Coordinates
N=97:   Image and Coordinates
N=98:   Image and Coordinates
N=99:   Image and Coordinates
N=100:   Image and Coordinates
N=101:   Image and Coordinates
N=102:   Image and Coordinates
N=103:   Image and Coordinates
N=104:   Image and Coordinates
N=105:   Image and Coordinates
N=106:   Image and Coordinates
N=107:   Image and Coordinates
N=108:   Image and Coordinates
N=109:   Image and Coordinates
N=120:   Image and Coordinates
N=126:   Image and Coordinates
N=138:   Image and Coordinates
N=150:   Image and Coordinates
N=162:   Image and Coordinates
N=168:   Image and Coordinates
N=186:   Image and Coordinates
N=198:   Image and Coordinates
N=210:   Image and Coordinates
N=222:   Image and Coordinates
N=234:   Image and Coordinates
N=240:   Image and Coordinates
N=252:   Image and Coordinates
N=264:   Image and Coordinates
N=270:   Image and Coordinates
N=282:   Image and Coordinates
N=294:   Image and Coordinates
N=300:   Image and Coordinates
N=312:   Image and Coordinates
N=336:   Image and Coordinates
N=348:   Image and Coordinates

Questions concerning the materials provided here should be directed to Professor Torquato.



Please send comments or questions about this site to the website administrator: Steven Atkinson