This page presents the numerical results and visual solutions found for the problems considered in the paper

E. G. Birgin, J. L. Gardenghi, A. Laurain. "Asymptotic bounds on the optimal radius when covering a set with minimum radius identical balls", submitted.

Unitary-side triangles and squares Regular polygons Nonregular polygons

Triangles

Number of balls	Radius	Solution	Files
1	5.7728014482643664e-01	Image	data file	metapost
2	4.9992987639360881e-01	Image	data file	metapost
3	2.8864406195204334e-01	Image	data file	metapost
4	2.6791742353719367e-01	Image	data file	metapost
5	2.4996491336393992e-01	Image	data file	metapost
6	1.9243347180679587e-01	Image	data file	metapost
7	1.8523392101326627e-01	Image	data file	metapost
8	1.7697442425117571e-01	Image	data file	metapost
9	1.6664623405191181e-01	Image	data file	metapost
10	1.4431462897881822e-01	Image	data file	metapost
11	1.4104308215880029e-01	Image	data file	metapost
12	1.3731166478172124e-01	Image	data file	metapost
13	1.3265311352803258e-01	Image	data file	metapost
14	1.2750479263526443e-01	Image	data file	metapost
15	1.1545381860040191e-01	Image	data file	metapost
16	1.1370431556342817e-01	Image	data file	metapost
17	1.1138441494748627e-01	Image	data file	metapost
18	1.0910162787219083e-01	Image	data file	metapost
19	1.0616594168360408e-01	Image	data file	metapost
20	1.0321923972450020e-01	Image	data file	metapost
21	9.6212814858974552e-02	Image	data file	metapost
22	9.5170835648002369e-02	Image	data file	metapost
23	9.3768132325289633e-02	Image	data file	metapost
24	9.2347701582024641e-02	Image	data file	metapost
25	9.0612132682240470e-02	Image	data file	metapost
26	8.8776956977501736e-02	Image	data file	metapost
27	8.6881440615954403e-02	Image	data file	metapost
28	8.2468971950206735e-02	Image	data file	metapost
29	8.1796059402151206e-02	Image	data file	metapost
30	8.0874493490187868e-02	Image	data file	metapost
31	7.9888700852496664e-02	Image	data file	metapost
32	7.8842076374437062e-02	Image	data file	metapost
33	7.7628734882459180e-02	Image	data file	metapost
34	7.6379443065078864e-02	Image	data file	metapost
35	7.5152509871264095e-02	Image	data file	metapost
36	7.2160914372902146e-02	Image	data file	metapost

Squares

Number of balls	Radius	Solution	Files
1	7.0705680365481682e-01	Image	data file	metapost
2	5.5898952126961243e-01	Image	data file	metapost
3	5.0387369624857303e-01	Image	data file	metapost
4	3.5353329686191587e-01	Image	data file	metapost
5	3.2614088633108418e-01	Image	data file	metapost
6	2.9871247032279852e-01	Image	data file	metapost
7	2.7427893802558012e-01	Image	data file	metapost
8	2.6028708335436745e-01	Image	data file	metapost
9	2.3062509502733750e-01	Image	data file	metapost
10	2.1822305684184828e-01	Image	data file	metapost
11	2.1250524102792528e-01	Image	data file	metapost
12	2.0226688675456159e-01	Image	data file	metapost
13	1.9430260240069025e-01	Image	data file	metapost
14	1.8550211907688524e-01	Image	data file	metapost
15	1.7965356720178663e-01	Image	data file	metapost
16	1.6941985335374918e-01	Image	data file	metapost
17	1.6567362523154619e-01	Image	data file	metapost
18	1.6063260426309445e-01	Image	data file	metapost
19	1.5832020913168113e-01	Image	data file	metapost
20	1.5224076296974490e-01	Image	data file	metapost
21	1.4894773459164054e-01	Image	data file	metapost
22	1.4368311855635948e-01	Image	data file	metapost
23	1.4123870585145107e-01	Image	data file	metapost
24	1.3829318669484678e-01	Image	data file	metapost
25	1.3354000644700678e-01	Image	data file	metapost
26	1.3175601283642202e-01	Image	data file	metapost
27	1.2862475532734835e-01	Image	data file	metapost
28	1.2757176879318896e-01	Image	data file	metapost
29	1.2594655595223636e-01	Image	data file	metapost
30	1.2202931661410486e-01	Image	data file	metapost