- tiled grid
The horizontal lines are parallel but appear tilted. This apparently simple illusion was invented by Johann Zollner in 1860.
To
New
# set default screen, pen and turtle values
ResetAll SetScreenSize [400 400] HideTurtle
SetSC Black SetPC Green SetPS 1 PenUp
End
To
GridSq
:
Order
:
Side
# draw tile at each column x row position
LocalMake "
Offset
(1+
:
Order
)/2
For (List "
Col
1
:
Order
) [
For (List "
Row
1
:
Order
) [
SetXY
:
Side
*(
:
Col
-
:
Offset
)
:
Side
*(
:
Row
-
:
Offset
)
Tile
:
Col
:
Row
:
Side
] ]
End
To
Tile
:
Col
:
Row
:
Side
SetH 90+180 *(Mod
:
Row
2)-90*(Mod
:
Col
2)
Back
:
Side
/2 Right 90 Back
:
Side
/2
PenDown Repeat 4 [Forward
:
Side
Left 90]
ForEach "
P
[1 -1] [
Repeat 2 [
Left
:
P
*22.5 Forward 0.46*
:
Side
Back 0.46*
:
Side
Right
:
P
*22.5 Forward 0.4*
:
Side
Left
:
P
*22.5 Forward 0.46*
:
Side
Back 0.46*
:
Side
Right
:
P
*22.5 Forward 0.6*
:
Side
Left
:
P
*90]
Right
:
P
*90 Back
:
Side
Right
:
P
*90 Back
:
Side
Left
:
P
*90] PenUp
End
To
Go
:
Order
New
GridSq
:
Order
384/
:
Order
End