e2650d7e-59b7-4047-860b-b8c21e840f7d 11 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Brute force manual scan/sort ...

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

R 001 - 7 - 6 - 9 - 3 - 56 - 48 - 101039 - 7 - 1078 - 34 - 1 - 10 - 46 - 3 - 209 - 3 - 152 mat :

data list ListCollect ct 1 : i list a ct el data i 1 el : b ct el data i 2 el : ct ct 1 + : 31 line for a b augment 31 line :

pts R o 6 black plot :

convex points scanner j 6 :

Rj R j 1 el R j 2 el augment . 20 black plot :

pts R Rj 3 1 sys

R j 1 el R j 2 el augment 8 - 1012 mat

sorted convex circulation convex 3279612817 mat :

inside of convex inner 145101113141518 mat :

cvx R convex ListCollect :

complete the plot cvxH cvx 6 - 9 - 12 mat stack :

INNER R inner ListCollect :

CVX cvxH o 6 black plot : INNER INNER . 14 black plot : 21 sys

CVX cvxH INNER 3 1 sys

cvx 6 - 9 - 1 - 7 - 1031078 - 1010 - 49 - 7 - 72 mat

cvxH 6 - 9 - 1 - 7 - 1031078 - 1010 - 49 - 7 - 6 - 9 - 82 mat

x cvxH 1 col :

y cvxH 2 col :

The convex hull 'cvxH' completes the plot. The lsst junction is deleted for the Polygon. Convex hull starts from the lowest true value.

Convex Polygon ...

Area Polygon wrt vertices coordinates A 12 / x i el y i 1 + el * x i 1 + el y i el * - (i 1 x rows 1 - sum * abs :

Perimeter  Polygon wrt vertices coordinates P x i 1 + el x i el - (2^y i 1 + el y i el - (2^+ sqrt i 1 x rows 1 - sum :

UnitGraphic UG 1 :

Center of gravity Xo 16 A * / x i el x i 1 + el + (x i el y i 1 + el * x i 1 + el y i el * - (* i 1 x rows 1 - sum * : Yo 16 A * / y i el y i 1 + el + (x i el y i 1 + el * x i 1 + el y i el * - (* i 1 x rows 1 - sum * : 21 mat

Area
Perimeter A P 21 mat UG 254.5 63.5 21 mat

CenterGravity Xo Yo 21 mat UG 1.532 - 1.484 21 mat

CVX cvxH Xo Yo + 40 blue 1 5 mat 3 1 sys

Area, Perimeter, Center of Gravity are in 'UnitGraphic' ...

jmG: 20230515