20caeb4f-4788-43cc-8295-631a22912ff7 17 15 12 decimal

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

Mesh U, V  within the bounds L, H L H N xd U 0 : dx H L - N / : i 1 N 1 + (range U i el L dx i * dx - (+ : for U 41 line :

Generate the symmetric square matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

u v f u v + :

L 1 - :

H 1 :

N 10 :

U L H N xd :

V U :

data x y f U V Sym :

data max 2

x y M Spline A M 112 M cols submatrix : B M 2 M rows 11 submatrix : C M 2 M rows 2 M cols submatrix : j 1 A length 2 range CC j el B C 1 C rows j j submatrix y linterp : for A transpose CC x linterp 51 line :

New x/y U stack V transpose data stack augment :

New 11 mat x/y 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 11 - 2 - 1.8 - 1.6 - 1.4 - 1.2 - 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.8 - 1.8 - 1.6 - 1.4 - 1.2 - 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.6 - 1.6 - 1.4 - 1.2 - 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.4 - 1.4 - 1.2 - 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.2 - 1.2 - 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 01 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 1 0.2 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 1 1.2 0.4 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 1 1.2 1.4 0.6 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 0.8 0.2 - 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 10 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 21212 mat 11 mat

<= Introduce the 3D surface plot u v q u v u v New Spline 31 mat :

M u v q 1 - 11 - 1 N N CreateMesh :

ω Ω1 1000 ω cos ω sin - 0 ω sin ω cos 33 mat :

Матрица преобразования для поворота вокруг оси y ω Ω2 ω cos 0 ω sin 010 ω sin - 0 ω cos 33 mat :

Матрица преобразования для поворота вокруг оси z ω Ω3 ω cos ω sin - 0 ω sin ω cos 000133 mat :

α 0.25 - (π * :

β 0.25 - (π * :

φ 0.25 - (π * :

θ 0.345 π * :

<= Rotate around Y

γ α Ω1 β Ω2 * φ Ω3 * eval :

M f B M θ Ω3 * γ * eval : B 1 col B 2 col augment 21 line :

x y axes x y / - :

plot M f :

plot axes 2 1 sys

α β φ θ 41 mat ° 45 - 45 - 45 - 62.1 41 mat

| | Orientation |

<= Rotate around Y

zoom 5 :

M zoom *

Add 3 legs to the picnic table

L 1.5 - 0 1.25 - range : H 00 0.25 range : Y L H stack : locateleft 2.5 - : i 1 Y rows range X i el locateleft : for X 21 line Left X Y augment : 61 sys

L 1.5 - 0 1.25 - range : H 00 0.25 range : Y L H stack : locatecntr 0 : i 1 Y rows range X i el locatecntr : for X 21 line Cntr X Y 1.4 - augment : 61 sys

L 1.5 - 0 1.25 - range : H 00 0.25 range : Y L H stack : locateback 0 : i 1 Y rows range X i el locateback : for X 21 line back X Y 1.4 + augment : 61 sys

L 1.5 - 0 1.25 - range : H 00 0.25 range : Y L H stack : locateright 2.5 : i 1 Y rows range X i el locateright : for X 21 line Right X Y augment : 61 sys

θ rot θ cos θ sin - θ sin θ cos 22 mat :

θ π 6 / - :

Plot back θ rot * plot θ rot * Left θ rot * Right θ rot * Cntr θ rot * 51 sys :

Plot