Basic Graphics #8 - Wave

 

8.  WAVE

WAVE  #1

SAVE AS

>>> import turtle

>>>

>>> Pt = turtle.Turtle()

>>>

>>> def SquareArcAC(radius):

         n = radius/57.35

         a = n/2

         for i in range(4):

              Pt.forward(radius)

              Pt.left(90)

         Pt.forward(a)

         Pt.left(1)

         for i in range(89):

              Pt.forward(n)

              Pt.left(1)

         Pt.forward(a)

>>> def SquareArcC(radius):

         n = radius/57.35

         a = n/2

         for i in range(4):

              Pt.forward(radius)

              Pt.right(90)

         Pt.forward(a)

         Pt.right(1)

         for i in range(89):

              Pt.forward(n)

              Pt.right(1)

         Pt.forward(a)

 

>>>

>>> Pt.backward(200)

>>> Pt.right(90)

>>>

>>> SquareArcAC(100)

>>> SquareArcAC(100)

>>>

>>> SquareArcC(100)

>>> SquareArcC(100)

>>>

>>>

>>> turtle.done()

>>> 

SAVE

 

TILES

The tiles used here, are –

            SquareArcAC(radius)

            Square  Arc  Anti-Clockwise

            Which turns to the    left

 

            SquareArcC(radius)

            Square  Arc  Clockwise

            Which turns to the    right

 

POSITION

Firstly,

The  Pt  has been positioned,

so that the wave will end up being centred in the screen.

 

ARRANGEMENT

Two anti-clockwise Square Arcs,

are followed by,

two clockwise Square Arcs.

 

This arrangement produces,

the    Wave    mechanism.

We can simplify the    Wave    mechanism,

in  Wave  #2 -

WAVE  #2

 

SAVE AS

>>> import turtle

>>>

>>> Pt = turtle.Turtle()

>>>

>>> def SquareArcAC(radius):

         n = radius/57.35

         a = n/2

         for i in range(4):

              Pt.forward(radius)

              Pt.left(90)

         Pt.forward(a)

         Pt.left(1)

         for i in range(89):

              Pt.forward(n)

              Pt.left(1)

         Pt.forward(a)

>>> def SquareArcC(radius):

         n = radius/57.35

         a = n/2

         for i in range(4):

              Pt.forward(radius)

              Pt.right(90)

         Pt.forward(a)

         Pt.right(1)

         for i in range(89):

              Pt.forward(n)

              Pt.right(1)

         Pt.forward(a)

 >>> def Wave(radius):

         for i in range(2):

             SquareArcAC(radius)

         for i in range(2):

             SquareArcC(radius)

 

         

>>>

>>> Pt.backward(200)

>>> Pt.right(90)

>>>

>>> Wave(100)

>>>

>>>

>>> turtle.done()

>>> 

SAVE

 

 

For a Wave of any size,

we introduced, into the mechanism,

the variable -

            radius

 

Here, 

 

radius  =  number of pixels distance,

                from the centre of the rotation, 

                to its arc,

                which is also the length of the side of the square,

                in the SquareArc tiles

SquareArcAC(radius)    and    

SquareArcC(radius)

need to have  radius  inside them.

 

This is because, they are inside 

Wave(radius),

and this syncs them with

Wave(radius).

              

 

Then,

all we have to do,

to draw a wave of a certain size,

is write the  Wave(radius)  mechanism, in the program,

and put in the size of the radius that we want, for example -

           

Wave(100)

(c) Katherine Stuart 2020

Dochas Books Film