;81 point cell with 5(+1) radii: 3*(1+(2+1)+5+8+10) points with mostly equal angles. ;Essentialy three 27-point cells, each supporting 1/3 of the mirror. ;Radii r2 and r2b are typically very close together and setting them to be equal ;yields a cell with only moderately more error. ;Will support a 43x1in plate glass f/6 mirror w/ no refocusing and 10% obstruction. ;Will support a 62x2in pyrex f/5 mirror w/ no refocusing and 10% obstruction. ;40x1in plate f/6 RMS=3.03e-6 w/ no refocus and 10% obs. ;40x2in pyrex f/5 RMS=9.78e-7 w/ no refocus and 10% obs. ;50x2in pyrex f/5 RMS=1.85e-6 w/ no refocus and 10% obs. ;60x2in pyrex f/5 RMS=3.53e-6 w/ no refocus and 10% obs. ;-- ;can be finicky to optimize. ;best optimized without refocusing first, then turn it on if desired. ;if you "get lost", here are some known starting points: ;-- ;1in plate glass f/6 w/ no refocus and 10% obstruction (30 rings) ;diameter: 762 r1: 0.131624 r2: 0.326989 r2b: 0.324183 r3: 0.51394 r4: 0.722964 r5: 0.920466 a2: 21.3453 err: 1.05122e-06 ;diameter: 787.4 r1: 0.132034 r2: 0.327875 r2b: 0.324792 r3: 0.515622 r4: 0.724236 r5: 0.920943 a2: 21.3703 err: 1.17686e-06 ;diameter: 812.8 r1: 0.132484 r2: 0.328896 r2b: 0.325473 r3: 0.517563 r4: 0.725325 r5: 0.92145 a2: 21.3959 err: 1.31887e-06 ;diameter: 838.2 r1: 0.133026 r2: 0.330212 r2b: 0.32632 r3: 0.519503 r4: 0.726412 r5: 0.92191 a2: 21.4229 err: 1.476e-06 ;diameter: 863.6 r1: 0.13358 r2: 0.331576 r2b: 0.327184 r3: 0.521478 r4: 0.727488 r5: 0.922387 a2: 21.4493 err: 1.65134e-06 ;diameter: 889 r1: 0.134056 r2: 0.332701 r2b: 0.327909 r3: 0.523602 r4: 0.728792 r5: 0.922682 a2: 21.4749 err: 1.81367e-06 ;diameter: 914.4 r1: 0.134594 r2: 0.334023 r2b: 0.328741 r3: 0.525672 r4: 0.729946 r5: 0.923126 a2: 21.5011 err: 2.01453e-06 ;diameter: 939.8 r1: 0.135116 r2: 0.335308 r2b: 0.329544 r3: 0.527803 r4: 0.731154 r5: 0.923535 a2: 21.5267 err: 2.22888e-06 ;diameter: 965.2 r1: 0.135629 r2: 0.336572 r2b: 0.33033 r3: 0.530063 r4: 0.732425 r5: 0.923867 a2: 21.5519 err: 2.45876e-06 ;diameter: 990.6 r1: 0.136098 r2: 0.337693 r2b: 0.331039 r3: 0.532316 r4: 0.733774 r5: 0.924205 a2: 21.5767 err: 2.71028e-06 ;diameter: 1016 r1: 0.13656 r2: 0.338783 r2b: 0.331737 r3: 0.534539 r4: 0.73514 r5: 0.924592 a2: 21.6017 err: 3.03262e-06 ;diameter: 1041.4 r1: 0.137097 r2: 0.340322 r2b: 0.332529 r3: 0.536996 r4: 0.736265 r5: 0.925011 a2: 21.6198 err: 3.35108e-06 ;diameter: 1066.8 r1: 0.137585 r2: 0.341657 r2b: 0.333238 r3: 0.539475 r4: 0.7375 r5: 0.925408 a2: 21.6399 err: 3.75731e-06 ;diameter: 1092.2 r1: 0.138136 r2: 0.343179 r2b: 0.334043 r3: 0.541803 r4: 0.738632 r5: 0.925968 a2: 21.6602 err: 4.22528e-06 ;diameter: 1117.6 r1: 0.138712 r2: 0.344513 r2b: 0.334782 r3: 0.54428 r4: 0.739918 r5: 0.926396 a2: 21.6838 err: 4.80731e-06 ;diameter: 1143 r1: 0.139358 r2: 0.346003 r2b: 0.33561 r3: 0.546689 r4: 0.741111 r5: 0.926929 a2: 21.7077 err: 5.46536e-06 ;-- ;2in pyrex glass f/5 w/ no refocus and 10% obstruction (30 rings) ;diameter: 1016 r1: 0.12927 r2: 0.318867 r2b: 0.315614 r3: 0.507385 r4: 0.714963 r5: 0.917628 a2: 21.1629 err: 8.38718e-07 ;diameter: 1041.4 r1: 0.129576 r2: 0.319474 r2b: 0.31598 r3: 0.508292 r4: 0.715675 r5: 0.917883 a2: 21.1764 err: 9.03241e-07 ;diameter: 1066.8 r1: 0.129749 r2: 0.319841 r2b: 0.316247 r3: 0.50937 r4: 0.716332 r5: 0.918159 a2: 21.1943 err: 9.655e-07 ;diameter: 1092.2 r1: 0.12993 r2: 0.320097 r2b: 0.316456 r3: 0.509815 r4: 0.716926 r5: 0.918825 a2: 21.2106 err: 1.06969e-06 ;diameter: 1117.6 r1: 0.130144 r2: 0.320629 r2b: 0.316795 r3: 0.511475 r4: 0.717704 r5: 0.918705 a2: 21.2272 err: 1.1034e-06 ;diameter: 1143 r1: 0.130328 r2: 0.321042 r2b: 0.317076 r3: 0.512541 r4: 0.718356 r5: 0.919013 a2: 21.244 err: 1.17877e-06 ;diameter: 1168.4 r1: 0.130504 r2: 0.3213 r2b: 0.317283 r3: 0.513011 r4: 0.718976 r5: 0.91968 a2: 21.2597 err: 1.31648e-06 ;diameter: 1193.8 r1: 0.130753 r2: 0.321954 r2b: 0.317677 r3: 0.514633 r4: 0.719723 r5: 0.91961 a2: 21.2764 err: 1.34791e-06 ;diameter: 1219.2 r1: 0.130966 r2: 0.322458 r2b: 0.318 r3: 0.515694 r4: 0.720368 r5: 0.919942 a2: 21.2933 err: 1.44139e-06 ;diameter: 1244.6 r1: 0.131169 r2: 0.322893 r2b: 0.31829 r3: 0.516828 r4: 0.721042 r5: 0.920237 a2: 21.3101 err: 1.54068e-06 ;diameter: 1270 r1: 0.131407 r2: 0.32349 r2b: 0.318656 r3: 0.517926 r4: 0.721725 r5: 0.920515 a2: 21.3274 err: 1.64866e-06 ;diameter: 1295.4 r1: 0.131635 r2: 0.324018 r2b: 0.31899 r3: 0.519121 r4: 0.722462 r5: 0.920718 a2: 21.3444 err: 1.76879e-06 ;diameter: 1320.8 r1: 0.131884 r2: 0.324628 r2b: 0.319362 r3: 0.520262 r4: 0.723158 r5: 0.920976 a2: 21.3617 err: 1.90232e-06 ;diameter: 1346.2 r1: 0.132137 r2: 0.325239 r2b: 0.319735 r3: 0.521455 r4: 0.723872 r5: 0.921206 a2: 21.3789 err: 2.05335e-06 ;diameter: 1371.6 r1: 0.132433 r2: 0.326027 r2b: 0.320194 r3: 0.522665 r4: 0.724453 r5: 0.921515 a2: 21.3966 err: 2.19995e-06 ;diameter: 1397 r1: 0.132706 r2: 0.326702 r2b: 0.3206 r3: 0.523938 r4: 0.725098 r5: 0.921775 a2: 21.4142 err: 2.36188e-06 ;diameter: 1422.4 r1: 0.133006 r2: 0.32748 r2b: 0.321057 r3: 0.525208 r4: 0.725721 r5: 0.922044 a2: 21.4322 err: 2.533e-06 ;diameter: 1447.8 r1: 0.133264 r2: 0.328065 r2b: 0.321429 r3: 0.526591 r4: 0.726366 r5: 0.92229 a2: 21.4502 err: 2.7391e-06 ;diameter: 1473.2 r1: 0.133577 r2: 0.328874 r2b: 0.321901 r3: 0.527855 r4: 0.726993 r5: 0.922577 a2: 21.4682 err: 2.94371e-06 ;diameter: 1498.6 r1: 0.133914 r2: 0.329764 r2b: 0.322418 r3: 0.529102 r4: 0.727587 r5: 0.922895 a2: 21.4869 err: 3.15418e-06 ;diameter: 1524 r1: 0.13425 r2: 0.330643 r2b: 0.322933 r3: 0.530339 r4: 0.728194 r5: 0.923224 a2: 21.5058 err: 3.38313e-06 ;diameter: 1549.4 r1: 0.134592 r2: 0.331462 r2b: 0.323433 r3: 0.53159 r4: 0.728854 r5: 0.923525 a2: 21.5274 err: 3.64305e-06 ;diameter: 1574.8 r1: 0.134963 r2: 0.332378 r2b: 0.323985 r3: 0.532852 r4: 0.72948 r5: 0.923841 a2: 21.5496 err: 3.90978e-06 ;diameter: 1600.2 r1: 0.135322 r2: 0.333239 r2b: 0.324509 r3: 0.534105 r4: 0.730144 r5: 0.924153 a2: 21.572 err: 4.21017e-06 ;diameter: 1625.6 r1: 0.135697 r2: 0.334174 r2b: 0.325069 r3: 0.535366 r4: 0.73078 r5: 0.924482 a2: 21.594 err: 4.52144e-06 ;diameter: 1651 r1: 0.136058 r2: 0.335884 r2b: 0.327685 r3: 0.535187 r4: 0.732165 r5: 0.924649 a2: 21.5104 err: 4.63813e-06 ;diameter: 1778 r1: 0.137238 r2: 0.339657 r2b: 0.329675 r3: 0.542712 r4: 0.735943 r5: 0.925678 a2: 21.5444 err: 7.31459e-06 var r1 0.12927 var r2 0.318867 var r2b 0.315614 var r3 0.507385 var r4 0.714963 var r5 0.917628 var a2 21.1629 var m2 0 - a2 diameter 1016 thickness 50.8 density 2.23e-06 modulus 6400 poisson 0.2 f-ratio 5 n-mesh-rings 30 rel-support-radii r1 r2 r3 r4 r5 r2 r2b num-support 3 3 15 24 30 3 3 support-angle 0 a2 0 0 0 m2 60 basis-ring-size 3 basis-ring-min 0 rel-obs-radius 0.1 optimize r1 0.01 optimize r2 0.01 optimize r2b 0.01 optimize r3 0.01 optimize r4 0.01 optimize r5 0.01 optimize a2 1 part triangle 3 point 0 0 point 6 0 point 1 0 part triangle 3 point 2 14 point 2 0 point 3 23 part triangle 3 point 3 1 point 4 2 point 4 1 part triangle 3 point 2 1 point 2 2 point 3 3 part triangle 3 point 3 4 point 4 6 point 4 5 part triangle 3 point 3 2 point 4 4 point 4 3 part triangle 3 point 5 1 point 3 6 point 2 3 part triangle 3 point 3 5 point 4 8 point 4 7 part triangle 3 point 3 8 point 4 10 point 4 9 part triangle 3 part 0 0 part 2 0 part 1 0 part triangle 3 part 3 0 part 4 0 part 5 0 part triangle 3 part 6 0 part 7 0 part 8 0 part triangle 3 part 9 0 part 10 0 part 11 0