pyramid3D

fde1c406-f559-4e66-89ce-4116c967583b 18 15 12 decimal

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

pyramid3D

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Euler

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

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

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

α π - 12 / :

β π 4 / :

φ π 4 / :

λ 0.5 - :

pyramid3D rows 498

γ α Ω1 β Ω2 * φ Ω3 * eval :

M pyramid3D :

45°<= 11 - 011000033 mat

45°=> 1101 - 1000033 mat

Horizontal 01010000033 mat

Vertical 10001000033 mat

pre-oriented γ 10001000033 mat :

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

step 00 range :

λ - ( M t f ( * λ M t f ( * 2 1 sys λ - ( M t f ( * λ M t f ( * 2 1 sys

x pyramid3D γ * 1 col : y pyramid3D γ * 2 col : t X x t el : t Y y t el : 12 mat 31 line

τ 1 pyramid3D rows range :

in this order M pyramid3D γ * :

sub M 1498 range 12 range el :

t 1 ≡ path 0.5 t X t Y 1 2 mat * : path path 0.5 t X t Y 1 2 mat * stack : if λ - ( sub * 2 1 sys

Credit and tanks to Gerard Bush ... for the pyramid3D construction ... Given below, collapsed ... March 22 2020 Orientation/plot/animation: Jean Giraud.

t 1 ≡ path 0.5 t X t Y 1 2 mat * : path path 0.5 t X t Y 1 2 mat * stack : if 1 10 1 10 - 2 2 mat 1.45 x * 6.25 + 3 1 sys pyramid3D construction

points 03 matrix :

offset 0 :

x y z w h d block3D points x y z x y h + z x y h + z d + x y z d + x y z x w + y z x w + y h + z x y h + z x w + y h + z x w + y h + z d + x y h + z d + x w + y h + z d + x w + y z d + x y z d + x w + y z d + x w + y z 163 mat : points 21 line :

n x y z w h d course3D n 0 > points points x y z w h d block3D n 1 - x w + y z w h d course3D stack : points if 11 line :

n m x y z w h d stagger3D offset offset ¬ : m 0 > offset points points n x y z w h d course3D x n w * + y h + z 13 mat n m 1 - x w 2 / + y h + z w h d stagger3D stack : points points n x y z w h d course3D x n w * + y h + z 13 mat n m 1 - x w 2 / - y h + z w h d stagger3D stack : if points if 21 line :

n m x y z w h d layer3D m 0 > points points n x y z w h d course3D x n w * + y z d + 13 mat n m 1 - x y z d + w h d layer3D stack : points if 11 line :

n x y z w h d pyramid3D n 0 > points points n n x y z w h d layer3D x n w * + y h + z n d * + x n w * + y h + z d 2 / + 23 mat n 1 - x w 2 / + y h + z d 2 / + w h d pyramid3D stack : points if 11 line :

pyramid3D 410 - 10 - 0555 pyramid3D :

pyramid3D rows 498