# Densest Packings of n Equal Spheres in a Cube of Edge Length 1 # Largest Possible Diameters # Author: Hugo Pfoertner http://www.pfoertner.org/ # URL of this file: http://www.randomwalk.de/sphere/incube/spicbest.txt # Date of last update: YYYY MM DD 2005 06 03 #n Diameter Originator 1 1.0 'common sense' 2 0.6339746 'common sense' 3 0.5857864 'J. Schaer' 4 0.5857864 'J. Schaer' 5 0.527864 'J. Schaer' 6 0.5147186 'J. Schaer' 7 0.5002723 'J. Schaer' 8 0.5 'J. Schaer' 9 0.4641016 'J. Schaer' 10 0.4285714 'J. Schaer' 11 0.4152445 'Th. Gensane' 12 0.4142135 'Th. Gensane' 13 0.4142135 'M. Goldberg' 14 0.4142135 'M. Goldberg' 15 0.3846154 'Dave Boll' 16 0.3775935 'Dave Boll' 17 0.3773705 'Th. Gensane' 18 0.3753611 'M. Goldberg' 19 0.3663704 'Dave Boll' 20 0.3568144 'Dave Boll' 21 0.3544381 'Th. Gensane' 22 0.3465462 'Th. Gensane' 23 0.3436333 'Th. Gensane' 24 0.3410811 'Dave Boll' 25 0.3356075 'Dave Boll' 26 0.3338102 'Th. Gensane' 27 0.3333333 'M. Goldberg' 28 0.3203820 'HP' 29 0.3203772 'Dave Boll' 30 0.3203772 'Dave Boll' 31 0.3203772 'Dave Boll' 32 0.3203772 'M. Goldberg' 33 0.3092107 'HP' 34 0.3042338 'HP' 35 0.3033369 'HP' 36 0.2986174 'Dave Boll' 37 0.2981232 'HP' 38 0.2980775 'HP' 39 0.2952347 'Dave Boll' 40 0.2941176 'HP' 41 0.2896751 'Dave Boll' 42 0.2860853 'HP' 43 0.2833032 'HP' 44 0.2817206 'HP' 45 0.2812639 'HP' 46 0.2804934 'HP' 47 0.2799177 'Dave Boll' 48 0.2799177 'Dave Boll' 49 0.2728534 'HP' 50 0.2719074 'HP' 51 0.2700129 'HP' 52 0.2676398 'HP' 53 0.2664604 'HP' 54 0.2632699 'HP' 55 0.2617699 'HP' 56 0.2612158 'HP' 57 0.2612038 'HP' 58 0.2612038 'HP' 59 0.2612038 'HP' 60 0.2612038 'HP' 61 0.2612039 'HP' 62 0.2612038 'HP' 63 0.2612038 'M. Goldberg' 64 0.2534804 'HP' 65 0.2523546 'HP' 66 0.2514692 'HP' 67 0.2489600 'HP' 68 0.2467570 'HP' 69 0.2459350 'HP' 70 0.2458828 'HP' 71 0.2456949 'HP' 72 0.2456692 'HP'