VERSION 5.00
Begin VB.Form frmFlake 
   Caption         =   "Flake"
   ClientHeight    =   4335
   ClientLeft      =   2280
   ClientTop       =   900
   ClientWidth     =   5070
   LinkTopic       =   "Form1"
   PaletteMode     =   1  'UseZOrder
   ScaleHeight     =   4335
   ScaleWidth      =   5070
   Begin VB.TextBox txtTheta 
      Height          =   285
      Left            =   600
      MaxLength       =   3
      TabIndex        =   1
      Text            =   "60"
      Top             =   360
      Width           =   375
   End
   Begin VB.TextBox txtDepth 
      Height          =   285
      Left            =   600
      MaxLength       =   3
      TabIndex        =   0
      Text            =   "3"
      Top             =   0
      Width           =   375
   End
   Begin VB.PictureBox picCanvas 
      AutoRedraw      =   -1  'True
      Height          =   4335
      Left            =   1080
      ScaleHeight     =   285
      ScaleMode       =   3  'Pixel
      ScaleWidth      =   261
      TabIndex        =   4
      Top             =   0
      Width           =   3975
   End
   Begin VB.CommandButton cmdGo 
      Caption         =   "Go"
      Default         =   -1  'True
      Height          =   375
      Left            =   240
      TabIndex        =   2
      Top             =   840
      Width           =   615
   End
   Begin VB.Label Label1 
      Caption         =   "Theta"
      Height          =   255
      Index           =   1
      Left            =   0
      TabIndex        =   5
      Top             =   360
      Width           =   495
   End
   Begin VB.Label Label1 
      Caption         =   "Depth"
      Height          =   255
      Index           =   0
      Left            =   0
      TabIndex        =   3
      Top             =   0
      Width           =   495
   End
Attribute VB_Name = "frmFlake"
Attribute VB_GlobalNameSpace = False
Attribute VB_Creatable = False
Attribute VB_PredeclaredId = True
Attribute VB_Exposed = False
Option Explicit
Private Const PI = 3.14159
' Coordinates of the points in the initiator.
Private Const NUM_INITIATOR_POINTS = 3
Private InitiatorX(0 To NUM_INITIATOR_POINTS) As Single
Private InitiatorY(0 To NUM_INITIATOR_POINTS) As Single
' Angles and distances for the generator.
Private Const NUM_GENERATOR_ANGLES = 4
Private ScaleFactor As Single
Private GeneratorDTheta(1 To NUM_GENERATOR_ANGLES) As Single
' Draw the complete snowflake.
Private Sub DrawFlake(ByVal depth As Integer, ByVal length As Single)
Dim i As Integer
Dim x1 As Single
Dim y1 As Single
Dim x2 As Single
Dim y2 As Single
Dim dx As Single
Dim dy As Single
Dim theta As Single
    picCanvas.Cls
    ' Draw the snowflake.
    For i = 1 To NUM_INITIATOR_POINTS
        x1 = InitiatorX(i - 1)
        y1 = InitiatorY(i - 1)
        x2 = InitiatorX(i)
        y2 = InitiatorY(i)
        dx = x2 - x1
        dy = y2 - y1
        theta = ATan2(dy, dx)
        DrawFlakeEdge depth, x1, y1, _
            theta, length
    Next i
End Sub
' Recursively draw a snowflake edge starting at
' (x1, y1) in direction theta and distance dist.
' Leave the coordinates of the endpoint in
' (x1, y1).
Private Sub DrawFlakeEdge(ByVal depth As Integer, ByRef x1 As Single, ByRef y1 As Single, ByVal theta As Single, ByVal dist As Single)
Dim status As Integer
Dim i As Integer
Dim x2 As Single
Dim y2 As Single
    If depth <= 0 Then
        x2 = x1 + dist * Cos(theta)
        y2 = y1 + dist * Sin(theta)
        picCanvas.Line (x1, y1)-(x2, y2)
        x1 = x2
        y1 = y2
        Exit Sub
    End If
    ' Recursively draw the edge.
    dist = dist * ScaleFactor
    For i = 1 To NUM_GENERATOR_ANGLES
        theta = theta + GeneratorDTheta(i)
        DrawFlakeEdge depth - 1, x1, y1, theta, dist
    Next i
End Sub
Private Sub CmdGo_Click()
Dim depth As Integer
Dim length As Single
Dim theta As Single
Dim unit As Single
Dim vunit As Single
Dim hunit As Single
    picCanvas.Cls
    MousePointer = vbHourglass
    DoEvents
    ' Get the parameters.
    If Not IsNumeric(txtDepth.Text) Then txtDepth.Text = "5"
    depth = CInt(txtDepth.Text)
    ' Initialize the generator.
    If Not IsNumeric(txtTheta.Text) Then txtTheta.Text = "60"
    theta = CInt(txtTheta.Text) / 180 * PI
    ' See how big we can make the curve.
    vunit = 0.8 * picCanvas.ScaleHeight / (Sqr(3) * 4 / 3)
    hunit = 0.8 * picCanvas.ScaleWidth / 2
    If vunit < hunit Then
        unit = vunit
    Else
        unit = hunit
    End If
    length = 2 * unit
    ' Initialize the generator and initializer.
    InitializeGenerator theta, length
    ' Draw the snowflake.
    DrawFlake depth, length
    MousePointer = vbDefault
End Sub
' Initialize the generator for the indicated angle.
Private Sub InitializeGenerator(ByVal theta As Single, ByVal length As Single)
Dim xmid As Single
Dim ymid As Single
    ' Initialize the initiator's coordinates.
    xmid = picCanvas.ScaleWidth / 2
    ymid = picCanvas.ScaleHeight / 2
    InitiatorX(1) = xmid + length / 2
    InitiatorY(1) = ymid - length / 2 * Sqr(3) / 3
    InitiatorX(2) = xmid - length / 2
    InitiatorY(2) = InitiatorY(1)
    InitiatorX(3) = xmid
    InitiatorY(3) = ymid + length / 2 * Sqr(3) * 2 / 3
    InitiatorX(0) = InitiatorX(3)
    InitiatorY(0) = InitiatorY(3)
    ScaleFactor = 1 / (2 * (1 + Cos(theta)))
    GeneratorDTheta(1) = 0
    GeneratorDTheta(2) = theta
    GeneratorDTheta(3) = -2 * theta
    GeneratorDTheta(4) = theta
End Sub
Private Sub Form_Resize()
Dim wid As Single
    ' Make the picCanvas as big as possible.
    wid = ScaleWidth - picCanvas.Left
    If wid < 120 Then wid = 120
    picCanvas.Move picCanvas.Left, 0, wid, ScaleHeight
End Sub