<p> Spool to file in there </p>

9c9ecdee-b979-40c2-89d2-125170e9bcce 5 15 12 decimal

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

The Trifolium Eol project

x y Φ3 x 2^y 2^+ (2^1 x 3^3 x * y 2^* - (* - : x y Φ6 x 2^y 2^+ (4^1 x 3^3 x * y 2^* - (2^* - : x C 1 x 2^- sqrt : plot first the Sixfolium 41 line

x C Re x C Re - Φ3 3 1 sys

y F x y Φ3 0 ≡ x solve maple :

y F_Z_Z_Z 1 -_Z + (* 2 y 2^* + (* 3 y 2^* + (* y 4^+ RootOf

y F x y Φ3 0 ≡ x solve allvalues maple :

The Maple advanced expansion is in term of solutions "RootOf". The command "allvalues" restricts to explicit solutions wrt 't'. "simplify" is not needed either. "RootOf" has workaround Smath.

x c 1 x 2^- sqrt ± :

junction 0.5625 - 0.5625 - f 1 el + 15 black 15 mat :

x f x y Φ3 0 ≡ y solve maple :

plot x f 1 el x f 2 el x f 3 el x f 4 el 41 sys :

plot x c junction 3 1 sys

Solving for the junction ... value in the Trifolium domain x f 1 el x f 3 el - abs 0 ≡ x 0.563 - 0.562 - solve 0.5625 - f 1 el 21 mat 0.562500000000 - 0.726184377414 21 mat

junction 0.5625 - 0.5625 - f 1 el + 15 black 15 mat :

x f x 32 x * + 916 x * + sqrt - (* - sqrt 2 sqrt / x 32 x * + 916 x * + sqrt - (* - sqrt 2 sqrt / - x 32 x * + 916 x * + sqrt + (* - sqrt 2 sqrt / x 32 x * + 916 x * + sqrt + (* - sqrt 2 sqrt / - 41 mat :

x f 1 el x f 2 el x f 3 el x f 4 el junction 5 1 sys

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

N 90 :

u 0 0.5625 - N xd : v 10 N xd : 21 line

The 3 lobes complete through two branches each for a total of 6 circulations

b1 i 1 u rows range U1 i el u i el f 1 el eval : for u U1 Re augment 21 line :

b3 i 1 v rows range U3 i el v i el f 1 el eval : for v U3 augment 21 line :

b5 i 1 u rows range U5 i el u i el f 2 el eval : for u U5 Re augment 21 line :

b2 i 1 u rows range V2 i el u i el f 3 el eval : for u u reverse : V2 V2 Re reverse : 21 line u V2 augment 31 line :

b4 i 1 v rows range V4 i el v i el f 2 el eval : for v v reverse : V4 V4 reverse : 21 line v V4 augment 31 line :

b6 i 1 u rows range V6 i el u i el f 4 el eval : for u u reverse : V6 V6 Re reverse : 21 line u V6 augment 31 line :

Unexplained shadow in context

b1 b2 b3 b4 b5 b6 6 1 sys

specific construction for Eol Trifolium ... ... can't explain ?

v v reverse : V V reverse : 21 line

Enable/disable observe Eol

<p> Spool to file in there </p>

CWD C:\SmathFile CurrentDirectory :

b2 CWD b2 wfile 1

b2 CWD b2 rfile :

b4 CWD b4 wfile 1

b4 CWD b4 rfile :

b6 CWD b6 wfile 1

b6 CWD b6 rfile :

b1 CWD b1 wfile 1

b1 CWD b1 rfile :

b3 CWD b3 wfile 1

b3 CWD b3 rfile :

b5 CWD b5 wfile 1

b5 CWD b5 rfile :

f1 b1 b2 stack : f2 b3 b4 stack : f3 b5 b6 stack : Eol f1 f2 f3 stack : 41 sys

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

Rotation system
plot arguments . t Eol x c Hub 31 sys

θ π 5 / - :

=======================================================

Smath 2D vectros rotation system t Eol Eol θ π 30 / t * + rot * eval :

Hub 00.15 red 15 mat : step1 060 range : 21 line

Smath "Wind Mill" project

t Eol x c Hub 3 1 sys f1 f2 f3 3 1 sys Eol

R 1 : r 1 - 3 / : L 2 r * : 13 mat

start 0 : end 6 π * : 12 mat

Logo t start end start 0.1 + (range : i 1 t rows range Xp i el r L + (r R / t i el * t i el + cos * R r + (r R / t i el * cos * + eval : Yp i el r L + (r R / t i el * t i el + sin * R r + (r R / t i el * sin * + eval : 21 line for Xp Yp augment 31 line :

Δ 0.0625 :

N end start (- Δ / : 301.59

Logo Logo :

t vx r L + (r R / start Δ t * + (* start + Δ t * + cos * R r + (r R / start Δ t * + (* cos * + eval : t vy r L + (r R / start Δ t * + (* start + Δ t * + sin * R r + (r R / start Δ t * + (* sin * + eval : τ 0 N range : (Mathcad FRAME ≡ Ellipse t vx t vy . 15 red 15 mat : 41 sys

Logo Ellipse 2 1 sys

a 0.5 : b 1 : Φ π : 13 mat

start 2 π * - : end 2 π * : 12 mat

P2 t start end start 0.1 + (range : i 1 t rows range X i el b t i el * a * t i el Φ + cos (2^* eval : Y i el a t i el * b * t i el Φ + sin (2^* eval : 21 line for X Y augment 31 line :

Δ 0.25 :

P2 P2 :

N end start (- Δ / : 50.27

t vx b start Δ t * + (* a * start Δ t * + Φ + cos (2^* eval : t vy a start Δ t * + (* b * start Δ t * + Φ + sin (2^* eval : τ 0 N range : (Mathcad FRAME ≡ Gozilla t vx t vy . 15 red 15 mat : 41 sys

Gozilla testing his birthday ladder

P2 Gozilla 2 1 sys