
; Lissajous variation 1 by Samuel Kilchenmann repeat 360 [setxy (sin(2 * repcount)) * 150 (sin(3 * repcount)) * 150]

; From http://utdallas.edu/~veerasam/logo/ setpensize 5 repeat 30 [setpencolor random 16 fd random 200 rt 90]

to square :length repeat 4 [forward :length right 90] end to flower repeat 36 [right 10 square 50] end flower

; Program from http://utdallas.edu/~veerasam/logo/
to tree :level :size :turn
if :level > 0 [
fd :size
lt :turn
tree :level - 1 :size * 0.9 :turn - 3
rt :turn
rt :turn
tree :level - 1 :size * 0.9 :turn - 3
lt :turn
pu bk :size pd
]
end
pu
back 200
pd
tree 12 40 25
; Moire by Yehuda Katz ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 180 [fd 500 bk 500 rt 2]

; Pentahexagon program by M.H. Elhefni ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 5 [repeat 6 [fd 100 lt 72] lt 144]

; A different tree taken from
; http://utdallas.edu/~veerasam/logo/
to tree :level :size
if :level > 0 [
setpensize :level/2
if :level < 3 [
setpencolor 10
]
if :level >= 3 [
setpencolor 0
]
fd :size
lt 10
tree :level-1 :size*0.8
rt 10
rt 30
tree :level-1 :size*0.8
lt 30
pu
back :size
pd
]
end
; this code just to put turtle at bottom
pu
back 200
pd
tree 13 60

; Lissajous variation 4 by Samuel Kilchenmann repeat 360 [setxy (sin(327 * repcount)) * 150 (sin(66 * repcount)) * 150]

; Hypercube program by Frak Caggiano from http://www.mathcats.com/gallery/15wordcontest.html repeat 8 [repeat 4 [rt 90 fd 100] bk 100 lt 45] ; comment at eol

repeat 10 [ right 36.0 repeat 5 [ forward 54 right 72.0]]

; Designs 1-5 program by Alex Mylonas' class ; from http://www.mathcats.com/gallery/15wordcontest.html ;repeat 36 [fd 60 rt 61 bk 80 lt 41 fd 85 rt 41] repeat 16 [fd 85 lt 60 fd 107 bk 72 lt 53 fd 74] ;repeat 100 [fd 5 + repcount rt 45 fd 10 + repcount rt 60] ;repeat 36 [repeat 36 [fd 10 rt 10] fd repcount rt 90 fd repcount] ;repeat 18 [repeat 5 [rt 40 fd 100 rt 120] rt 20]

; Kite and Dart Tiles by Dr Adam Chalcraft ; from http://drj11.github.io/curlylogo/gallery/ to dart :x pd lt 36 fd :x rt 144 fd :x * 0.618033988 lt 36 fd :x * 0.618033988 rt 144 fd :x rt 144 end to kite :x pd lt 36 fd :x rt 108 fd :x * 0.618033988 rt 36 fd :x * 0.618033988 rt 108 fd :x rt 144 end to dartn :n :x if :n == 0 [dart :x stop] kiten :n - 1 :x * 0.618033988 lt 144 pu bk :x dartn :n - 1 :x * 0.618033988 pu fd :x rt 144 end to lkiten :n :x lt 36 pu fd :x rt 144 kiten :n :x * 0.618033988 lt 144 pu bk :x rt 36 end to rkiten :n :x rt 36 pu fd :x lt 144 kiten :n :x * 0.618033988 rt 144 pu bk :x lt 36 end to kiten :n :x if :n == 0 [kite :x stop] lt 36 dartn :n - 1 :x * 0.618033988 rt 36 lkiten :n - 1 :x rkiten :n - 1 :x end ;home pu rt 90 fd 250 lt 90 bk 1500 dartn 9 3000

; Five Rose program by Paolo Passaro ; from http://www.mathcats.com/gallery/fiverosedetails.html repeat 1800 [rt repcount fd 10 lt repcount fd 5 rt repcount rt .1]

; Random squares from
; http://utdallas.edu/~veerasam/logo/
to sq :size
repeat 4 [
fd :size
rt 90
]
end
repeat 20 [
setpencolor random 16
setpensize random 5
sq random 200
rt random 360
]
; Designs 1-5 program by Alex Mylonas' class ; from http://www.mathcats.com/gallery/15wordcontest.html ;repeat 36 [fd 60 rt 61 bk 80 lt 41 fd 85 rt 41] ;repeat 16 [fd 85 lt 60 fd 107 bk 72 lt 53 fd 74] repeat 100 [fd 5 + repcount rt 45 fd 10 + repcount rt 60] ;repeat 36 [repeat 36 [fd 10 rt 10] fd repcount rt 90 fd repcount] ;repeat 18 [repeat 5 [rt 40 fd 100 rt 120] rt 20]

; Designs 1-5 program by Alex Mylonas' class ; from http://www.mathcats.com/gallery/15wordcontest.html ;repeat 36 [fd 60 rt 61 bk 80 lt 41 fd 85 rt 41] ;repeat 16 [fd 85 lt 60 fd 107 bk 72 lt 53 fd 74] ;repeat 100 [fd 5 + repcount rt 45 fd 10 + repcount rt 60] ;repeat 36 [repeat 36 [fd 10 rt 10] fd repcount rt 90 fd repcount] repeat 18 [repeat 5 [rt 40 fd 100 rt 120] rt 20]

; Polygon variation 1 by Paolo Passaro ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 4 [repeat 30 [lt 90 fd 4 rt 90 fd 4] rt 90]

; Brownian Motion by Erez Katz ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 10000 [fd 3 * ((-1) + random 2) rt 90 * random 4]

; Polygon variation 2 by Paolo Passaro ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 4 [repeat 20 [lt 160 fd 20 rt 160 fd 20] rt 90]

; Tadpole Chaos program ; from http://drj11.github.io/curlylogo/gallery/ to inspin :side :angle :inc :n repeat :n [ fd :side rt :angle + :inc * repcount ] end inspin 2 2 3.14159265359 22222

; Rose variation 1 by Keith Enevoldsen repeat 180 [seth repcount fd 200 * sin repcount*7 home]

to sawtooth right 45 forward 56.56 ; this is an comment at the end of a line left 135 forward 40 right 90 end to sawblade repeat 12 [ sawtooth right 30 ] end sawblade

; Designs 1-5 program by Alex Mylonas' class ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 36 [fd 60 rt 61 bk 80 lt 41 fd 85 rt 41] ;repeat 16 [fd 85 lt 60 fd 107 bk 72 lt 53 fd 74] ;repeat 100 [fd 5 + repcount rt 45 fd 10 + repcount rt 60] ;repeat 36 [repeat 36 [fd 10 rt 10] fd repcount rt 90 fd repcount] ;repeat 18 [repeat 5 [rt 40 fd 100 rt 120] rt 20]

to fern :size :sign if :size < 1 [ stop ] fd :size rt 70 * :sign fern :size * 0.5 :sign * (-1) lt 70 * :sign fd :size lt 70 * :sign fern :size * 0.5 :sign rt 70 * :sign rt 7 * :sign fern :size - 1 :sign lt 7 * :sign bk :size * 2 end ;; this code just to start turtle off in lower left corner pu bk 200 lt 90 fd 100 rt 90 pd fern 25 1

; Fanblade program from http://fmslogo.sourceforge.net/workshop/getting-started.shtml
to fanblade
repeat 2 [
forward 100
right 135
forward 20
right 45
]
end
to fan
repeat 8 [
fanblade
left 135
forward 20
]
end
fan
; Lissajous variation 2 by Samuel Kilchenmann repeat 360 [setxy (sin(89 * repcount)) * 150 (sin(179 * repcount)) * 150]

; Ellipse program by Paolo Passaro ; from http://www.mathcats.com/gallery/15wordcontest.html ; The eccentricity is e=0.5. If e = 0 you have a circle and if ; e < 0 or e > 0 you have an ellipse horizontal or vertical repeat 360 [rt repcount fd 1 lt repcount * 2 fd 0.5 rt repcount]

; Fan Flower by Keith Enevoldsen pu fd 100 pd repeat 12 [repeat 75 [fd 100 bk 100 rt 2] fd 250]

; Designs 1-5 program by Alex Mylonas' class ; from http://www.mathcats.com/gallery/15wordcontest.html ;repeat 36 [fd 60 rt 61 bk 80 lt 41 fd 85 rt 41] ;repeat 16 [fd 85 lt 60 fd 107 bk 72 lt 53 fd 74] ;repeat 100 [fd 5 + repcount rt 45 fd 10 + repcount rt 60] repeat 36 [repeat 36 [fd 10 rt 10] fd repcount rt 90 fd repcount] ;repeat 18 [repeat 5 [rt 40 fd 100 rt 120] rt 20]

; Dahlia program by David Eisenstat ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 8 [rt 45 repeat 6 [repeat 90 [fd 2 rt 2] rt 90]] ; The 6 can be replaced with 1 to 7 for other flowers. ; For numbers greater than 7, the patterns repeat. ; This will work without modification in absolutely all Logo implementations.

; Slalom Scrolls
repeat 2000 [
fd 5
rt (90 * sin repcount)
]
; Feathers by Marian Rosen ;repeat 12 [repeat random 50 [fd 100 bk 95 rt 2] rt 180] repeat 50 [repeat random 100 [fd 300 bk 295 rt 2] rt 180]

; Ten Rose program by Paolo Passaro ; from http://www.mathcats.com/gallery/fiverosedetails.html repeat 3600 [ fd 10 rt repcount + .2 ]

repeat 4 [ forward 100 right 90.0 ]

to tree :size if :size < 5 [forward :size back :size stop] forward :size/3 left 30 tree :size*2/3 right 30 forward :size/6 right 25 tree :size/2 left 25 forward :size/3 right 25 tree :size/2 left 25 forward :size/6 back :size end tree 150

; Lissajous variation 3 by Samuel Kilchenmann repeat 360 [setxy (sin(254 * repcount)) * 150 (sin(201 * repcount)) * 150]

repeat 5 [ forward 100 right 144.0 ]

; Samanid Mancala program taken from http://drj11.github.io/curlylogo/gallery/ setpencolor 9 pu bk 100 pd setpensize 8 repeat 7 [ fd 200 rt 360 * 1.5 / 7 fd 80 rt 360 * 1.5 / 7 ]

; Polygon variation 3 by Paolo Passaro ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 8 [repeat 20 [lt 170 fd 20 rt 170 fd 20] rt 45]

; Koch Curve program from ; http://utdallas.edu/~veerasam/logo/ to kochCurve :level :size if :level < 1 [ fd :size stop ] kochCurve :level - 1 :size / 3 lt 60 kochCurve :level - 1 :size / 3 rt 120 kochCurve :level - 1 :size / 3 lt 60 kochCurve :level - 1 :size / 3 end ;cs rt 90 kochCurve 4 200

; Dragon curve program based on
; http://drj11.github.io/curlylogo/gallery/
; which is adapted from Turtle Geometry: The Computer as a Medium for
; Exploring Mathematics
; by Harold Abelson and Adrea diSessa
to ldragon :size :level
if :level == 0 [
fd :size
stop
]
ldragon :size :level - 1
lt 90
rdragon :size :level - 1
end
to rdragon :size :level
if :level == 0 [
fd :size
stop
]
ldragon :size :level - 1
rt 90
rdragon :size :level - 1
end
; we don't support the next command yet
; cs setpw 1
pu fd 0.5 rt 90 fd 0.5 pd
ldragon 2 13
; Head program by Keith Enevoldsen ; from http://www.mathcats.com/gallery/15wordcontest.html repeat 38 [fd 5 rt 10] setx 55 setx 27 setxy 20 (-10) setx 27

; Roses program by Paolo Passaro
; from http://www.mathcats.com/gallery/fiverosedetails.html
to roses :l :n :k
; l is the step size
; n is the number of roses
; k is the order
repeat 360 * :n [
fd :l
rt repcount + ((2 * :k - :n) / ( 2 * :n))
]
end
;roses 5 5 3
;roses 5 7 3
;roses 5 10 7
roses 5 12 5

; Starfish Program by Paolo Passaro and Julie Clune ; from http://www.mathcats.com/gallery/15wordcontest.html ; and http://www.mathcats.com/gallery/fiverosedetails.html repeat 1800 [fd 10 rt repcount + .1 ]

; Eye by Paolo Passaro repeat 1800 [fd ln repcount bk 10*sin repcount rt 10]