;108 point cell with 5(+1) radii: 4*(1+(2+1)+5+8+10) points with mostly equal angles.

;Essentially four 27-point cells with a bar connecting two of those.

;Radii r2 and r2b are typically very close together and setting them to be equal 

;yields a cell with only slightly more error.

;--

;Capable of supporting a 46x1in plate glass f/6 mirror w/ no refocusing and 10% obs.

;or a 65x2in pyrex f/5 mirror w/ no refocusing and 10% obstruction.

;40x1in plate f/6 RMS=2.21e-6 w/ no refocusing and 10% obs.

;45x1in plate f/6 RMS=3.36e-6 w/ no refocusing and 10% obs.

;40x2in pyrex f/5 RMS=7.51e-7 w/ no refocusing and 10% obs.

;50x2in pyrex f/5 RMS=1.29e-6 w/ no refocusing and 10% obs.

;60x2in pyrex f/5 RMS=2.96e-6 w/ no refocusing and 10% obs.

;--

;40 rings in the finite element mesh maxes out the memory on my Win2K box

;38 rings seems to run fine within the memory that I have (256MB)

;can be finicky to optimize.  if you "get lost", here are some known starting points:

;--

;1in plate glass f/6 w/ no refocus and 10% obstruction (@38rings)

;diameter: 889 rr1: 0.132412 r2: 0.330056 r2b: 0.32682 r3: 0.525917 r4: 0.728184 r5: 0.92279 a2: 16.0247 err: 1.24892e-06

;diameter: 914.4 r1: 0.132845 r2: 0.331153 r2b: 0.327457 r3: 0.528029 r4: 0.729408 r5: 0.923205 a2: 16.0463 err: 1.3958e-06

;diameter: 939.8 r1: 0.133347 r2: 0.334999 r2b: 0.327658 r3: 0.529239 r4: 0.729423 r5: 0.924726 a2: 16.0544 err: 1.51195e-06

;diameter: 965.2 r1: 0.133773 r2: 0.336073 r2b: 0.328293 r3: 0.531467 r4: 0.7306 r5: 0.925202 a2: 16.07 err: 1.61742e-06

;diameter: 990.6 r1: 0.134245 r2: 0.337298 r2b: 0.329002 r3: 0.533824 r4: 0.731767 r5: 0.925626 a2: 16.0858 err: 1.75428e-06

;diameter: 1016 r1: 0.134773 r2: 0.338683 r2b: 0.329794 r3: 0.536101 r4: 0.732877 r5: 0.926141 a2: 16.1016 err: 1.93535e-06

;diameter: 1041.4 r1: 0.135262 r2: 0.339905 r2b: 0.330502 r3: 0.538385 r4: 0.734089 r5: 0.926643 a2: 16.1176 err: 2.16038e-06

;diameter: 1066.8 r1: 0.135822 r2: 0.341182 r2b: 0.331236 r3: 0.540778 r4: 0.735332 r5: 0.927081 a2: 16.1337 err: 2.46516e-06

;diameter: 1092.2 r1: 0.136546 r2: 0.342894 r2b: 0.332186 r3: 0.543101 r4: 0.736527 r5: 0.927528 a2: 16.1497 err: 2.80602e-06

;diameter: 1117.6 r1: 0.138135 r2: 0.34606 r2b: 0.334277 r3: 0.544064 r4: 0.736925 r5: 0.929028 a2: 16.0593 err: 3.08096e-06

;diameter: 1143 r1: 0.138776 r2: 0.347632 r2b: 0.335136 r3: 0.54663 r4: 0.738277 r5: 0.929331 a2: 16.0806 err: 3.35624e-06

;diameter: 1168.4 r1: 0.139326 r2: 0.348878 r2b: 0.335857 r3: 0.5494 r4: 0.739955 r5: 0.929367 a2: 16.1032 err: 3.8325e-06

;diameter: 1193.8 r1: 0.140086 r2: 0.350694 r2b: 0.33685 r3: 0.55193 r4: 0.741251 r5: 0.929766 a2: 16.1263 err: 4.4268e-06

;diameter: 1219.2 r1: 0.140805 r2: 0.352371 r2b: 0.337779 r3: 0.554598 r4: 0.74275 r5: 0.929989 a2: 16.1498 err: 5.34916e-06

;diameter: 1244.6 r1: 0.141651 r2: 0.354279 r2b: 0.338853 r3: 0.557095 r4: 0.744021 r5: 0.930476 a2: 16.1736 err: 6.34365e-06

;diameter: 1270 r1: 0.14256 r2: 0.356302 r2b: 0.339994 r3: 0.559613 r4: 0.745269 r5: 0.93099 a2: 16.1976 err: 7.49116e-06

;--

;2in pyrex f/5 w/ no refocus and 10% obs. (@38 rings)

;diameter: 1016 r1: 0.128461 r2: 0.317558 r2b: 0.319199 r3: 0.50793 r4: 0.712814 r5: 0.919284 a2: 15.9711 err: 7.51216e-07

;diameter: 1143 r1: 0.129123 r2: 0.319488 r2b: 0.320281 r3: 0.51345 r4: 0.716441 r5: 0.920401 a2: 15.9991 err: 1.00266e-06

;diameter: 1270 r1: 0.129928 r2: 0.321949 r2b: 0.321618 r3: 0.519242 r4: 0.72025 r5: 0.921344 a2: 16.0272 err: 1.29225e-06

;diameter: 1397 r1: 0.130865 r2: 0.324863 r2b: 0.323173 r3: 0.525244 r4: 0.723992 r5: 0.922428 a2: 16.0553 err: 1.8347e-06

;diameter: 1524 r1: 0.131913 r2: 0.32814 r2b: 0.324896 r3: 0.531562 r4: 0.727797 r5: 0.9235 a2: 16.0837 err: 2.96367e-06

;diameter: 1651 r1: 0.133703 r2: 0.333178 r2b: 0.327364 r3: 0.53763 r4: 0.729938 r5: 0.926047 a2: 16.1032 err: 4.0129e-06

;diameter: 1778 r1: 0.135188 r2: 0.337783 r2b: 0.329757 r3: 0.544863 r4: 0.733184 r5: 0.927477 a2: 16.1324 err: 6.55647e-06

;diameter: 1905 r1: 0.138308 r2: 0.344981 r2b: 0.333324 r3: 0.550246 r4: 0.736075 r5: 0.929909 a2: 16.1574 err: 7.49958e-06

;diameter: 2032 r1: 0.140426 r2: 0.350561 r2b: 0.336196 r3: 0.55755 r4: 0.739715 r5: 0.931469 a2: 16.1881 err: 1.18022e-05

var r1  0.133347

var r2  0.334999

var r2b  0.327658

var r3  0.529239

var r4  0.729423

var r5  0.924726

var a2  16.0544

var m2  0 - a2

diameter 939.8

thickness 25.4

density 2.45e-06

modulus 6000

poisson 0.22

f-ratio 6

n-mesh-rings 38

rel-support-radii r1 r2 r3 r4 r5 r2 r2b

num-support 4 4 20 32 40 4 4

support-angle 0 a2 0 0 0 m2 45

basis-ring-size 4

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 4 point 0 0 point 6 0 point 1 0

part triangle 4 point 2 19 point 2 0 point 3 31

part triangle 4 point 3 1 point 4 2 point 4 1

part triangle 4 point 2 1 point 2 2 point 3 3

part triangle 4 point 3 4 point 4 6 point 4 5

part triangle 4 point 3 2 point 4 4 point 4 3

part triangle 4 point 5 1 point 3 6 point 2 3

part triangle 4 point 3 5 point 4 8 point 4 7

part triangle 4 point 3 8 point 4 10 point 4 9

part triangle 4 part 0 0 part 2 0 part 1 0

part triangle 4 part 3 0 part 4 0 part 5 0

part triangle 4 part 6 0 part 7 0 part 8 0

part triangle 4 part 9 0 part 10 0 part 11 0

part bar 1 part 12 0 part 12 1