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| Option Explicit
Option Base 1
DefSng A-Z
Const pi = 3.14159265358979
Const sin60 = 0.866025403784439
Const cos60 = 0.5
Const tg60 = 1.73205080756888
Const DotsIn1 As Integer = 100 ' ×èñëî òî÷åê â ñòîðîíå ðàâíîñòîðîííåãî òðåóãîëüíèêà
Const H1 = DotsIn1 * sin60
Const C1 = -DotsIn1 * sin60
Const C2 = DotsIn1 * sin60 * 3
Const ScaleMin = DotsIn1 / 2 ' Ìèíèìàëüíàÿ âåëè÷èíà ñòîðîíû îñêîëêà
Const ScaleKoef = DotsIn1 / 2 'Äîïîëíèòåëüíûé ñëó÷àéíûé ôàêòîð óâåëè÷åíèÿ ñòîðîíû îñêîëêà
Const N As Integer = 10 ' ×èñëî ôèãóð ïåðâè÷íîé ãåíåðàöèè
Const ÑTri As Integer = 18 ' ×èñëî çåðêàëíûõ òðåóãîëüíèêîâ â ðÿäó
Const RTri As Integer = 4 ' ×èñëî ïàð ðÿäîâ çåðêàëíûõ òðåóãîëüíèêîâ
Const ZTri As Integer = ÑTri * RTri * 2 ' ×èñëî çåðêàëíûõ òðåóãîëüíèêà
Const M As Integer = ZTri * N ' ×èñëî âñåõ ôèãóð
Const Accuracy = 0.00003
Dim NVersh(M) As Integer, X(7, M), Y(7, M)
Sub Generate()
Dim e As Integer, i As Integer, j As Integer, k As Integer, q As Integer, AB, Phi
Dim ShColor(M) As Long
Dim MyShape As Shape
Dim VertArray()
Randomize Timer
Application.ScreenUpdating = False
For Each MyShape In Worksheets(1).Shapes
If MyShape.AutoShapeType > 0 Then
MyShape.Delete
End If
Next
ReDim VertArray(1 To 2, 1 To 2)
For i = 1 To 12
VertArray(1, 1) = (i - 0.5) * DotsIn1
VertArray(1, 2) = 0
VertArray(2, 1) = (i - 0.5 + 4) * DotsIn1
VertArray(2, 2) = H1 * 8
Set MyShape = Worksheets(1).Shapes.AddPolyline(VertArray)
With MyShape
.Line.Weight = 0.5
.Line.ForeColor.RGB = &H0
End With
VertArray(1, 1) = (i - 0.5) * DotsIn1
VertArray(1, 2) = 0
VertArray(2, 1) = (i - 0.5 + 4) * DotsIn1
VertArray(2, 2) = -H1 * 8
Set MyShape = Worksheets(1).Shapes.AddPolyline(VertArray)
With MyShape
.Line.Weight = 0.5
.Line.ForeColor.RGB = &H0
End With
Next
For i = 1 To 4
VertArray(1, 1) = 0
VertArray(1, 2) = H1 * (9 - 2 * i)
VertArray(2, 1) = (i - 0.5) * DotsIn1
VertArray(2, 2) = H1 * 8
Set MyShape = Worksheets(1).Shapes.AddPolyline(VertArray)
With MyShape
.Line.Weight = 0.5
.Line.ForeColor.RGB = &H0
End With
VertArray(1, 1) = 0
VertArray(1, 2) = H1 * (2 * i - 1)
VertArray(2, 1) = (i - 0.5) * DotsIn1
VertArray(2, 2) = 0
Set MyShape = Worksheets(1).Shapes.AddPolyline(VertArray)
With MyShape
.Line.Weight = 0.5
.Line.ForeColor.RGB = &H0
End With
Next
For i = 1 To 8
VertArray(1, 1) = 0
VertArray(1, 2) = H1 * i
VertArray(2, 1) = 12 * DotsIn1
VertArray(2, 2) = H1 * i
Set MyShape = Worksheets(1).Shapes.AddPolyline(VertArray)
With MyShape
.Line.Weight = 0.5
.Line.ForeColor.RGB = &H0
End With
Next
For i = 1 To N
NVersh(i) = 3
Do
j = 1
X(j, i) = DotsIn1 * (Rnd() * 0.6 + 0.7)
Y(j, i) = H1 * Rnd()
j = 2
AB = ScaleMin + ScaleKoef * Rnd()
Phi = (Rnd() - 0.5) * 2 * pi
X(j, i) = X(1, i) + AB * Cos(Phi)
Y(j, i) = Y(1, i) + AB * Sin(Phi)
j = 3
AB = ScaleMin + ScaleKoef * (Rnd() - 0.5)
Phi = Phi + pi * (0.5 + 0.4 * (Rnd() - 0.5)) * (2 * CInt(Rnd()) - 1)
X(j, i) = X(1, i) + AB * Cos(Phi)
Y(j, i) = Y(1, i) + AB * Sin(Phi)
Loop Until CheckTriZone(i)
ShColor(i) = Color_Random(i)
Call CutPlate(i, tg60, C1, 0.5 * DotsIn1, 1 * DotsIn1, 1)
Call CutPlate(i, -tg60, C2, 1 * DotsIn1, 1.5 * DotsIn1, 1)
Call CutPlate(i, 0, 0, 0.5 * DotsIn1, 1.5 * DotsIn1, -1)
For j = 1 To NVersh(i)
X(j, i + 2 * N) = X(j, i)
Y(j, i + 2 * N) = Y(j, i)
X(j, i + 3 * N) = X(j, i)
Y(j, i + 3 * N) = -Y(j, i) + 2 * H1
Call ReflectPoint(X(j, i), Y(j, i), X(j, i + 2 * N), Y(j, i + 2 * N), C1, 1)
X(j, i + 1 * N) = X(j, i)
Y(j, i + 1 * N) = -(Y(j, i) - H1) + H1
Call ReflectPoint(X(j, i + 4 * N), Y(j, i + 4 * N), X(j, i + 2 * N), Y(j, i + 2 * N), C2, -1)
X(j, i + 5 * N) = X(j, i + 4 * N)
Y(j, i + 5 * N) = -(Y(j, i + 4 * N) - H1) + H1
Next j
NVersh(i + N) = NVersh(i)
NVersh(i + 2 * N) = NVersh(i)
NVersh(i + 3 * N) = NVersh(i)
NVersh(i + 4 * N) = NVersh(i)
NVersh(i + 5 * N) = NVersh(i)
ShColor(i + N) = ShColor(i)
ShColor(i + 2 * N) = ShColor(i)
ShColor(i + 3 * N) = ShColor(i)
ShColor(i + 4 * N) = ShColor(i)
ShColor(i + 5 * N) = ShColor(i)
Next
For i = 1 To N
k = 0
AB = -1
For e = 6 To (ÑTri - 1) * 2 Step 6
k = k + 1
AB = -AB ' 1- é çíàê ñäâèãà ïî âûñîòå
For j = 1 To NVersh(i)
Phi = -1
For q = 0 To 5
Phi = -Phi ' 2- îé çíàê ñäâèãà ïî âûñîòå
X(j, i + (e + q) * N) = X(j, i + (e - 6 + q) * N) + 1.5 * DotsIn1
Y(j, i + (e + q) * N) = Y(j, i + (e - 6 + q) * N) + H1 * AB * Phi
Next q
Next j
Next e
For e = 6 To ÑTri * 2
NVersh(i + e * N) = NVersh(i)
ShColor(i + e * N) = ShColor(i)
Next e
Next i
For i = 1 To N
For k = 1 To RTri - 1
For q = 0 To ÑTri * 2 - 1
For j = 1 To NVersh(i)
X(j, i + k * ÑTri * 2 * N + q * N) = X(j, i + q * N)
Y(j, i + k * ÑTri * 2 * N + q * N) = Y(j, i + q * N) + H1 * 2 * k
NVersh(i + k * ÑTri * 2 * N + q * N) = NVersh(i)
ShColor(i + k * ÑTri * 2 * N + q * N) = ShColor(i)
Next j
Next q
Next k
Next i
For i = 1 To M
ReDim VertArray(1 To NVersh(i) + 1, 1 To 2)
For j = 1 To NVersh(i)
VertArray(j, 1) = X(j, i)
VertArray(j, 2) = Y(j, i)
Next j
VertArray(NVersh(i) + 1, 1) = X(1, i)
VertArray(NVersh(i) + 1, 2) = Y(1, i)
Set MyShape = Worksheets(1).Shapes.AddPolyline(VertArray)
With MyShape
.Fill.ForeColor.RGB = ShColor(i)
.Fill.Transparency = 0.5
.Line.Weight = 0
End With
Next
Application.ScreenUpdating = True
End Sub
Function CheckTriZone(i As Integer) As Boolean
Dim j As Integer
CheckTriZone = False
For j = 1 To 3
If Y(j, i) - (tg60 * X(j, i) + C1 - H1 * 0.2) < -Accuracy Then
If Y(j, i) - (-tg60 * X(j, i) + C2 - H1 * 0.2) < -Accuracy Then
CheckTriZone = True
Exit Function
End If
End If
Next j
End Function
Sub CutPlate(i As Integer, Koef, C, Xmin, Xmax, UpDown As Integer)
Dim j As Integer, k As Integer
Dim x1, x2, x3, x0
Dim y1, y2, y3, y0
j = 1
Do Until j > NVersh(i)
x2 = X(j, i): y2 = Y(j, i)
If (y2 - (Koef * x2 + C)) * UpDown > Accuracy Then
x0 = X(j, i): y0 = Y(j, i)
If j = 1 Then
x1 = X(NVersh(i), i)
y1 = Y(NVersh(i), i)
Else
x1 = X(j - 1, i)
y1 = Y(j - 1, i)
End If
If j = NVersh(i) Then
x3 = X(1, i)
y3 = Y(1, i)
Else
x3 = X(j + 1, i)
y3 = Y(j + 1, i)
End If
If (y3 - (Koef * x3 + C)) * UpDown < -Accuracy Then
Call CutLine(x2, y2, x3, y3, Koef, C)
If Abs(x3 - x2) > Accuracy Or Abs(y3 - y2) > Accuracy Then
X(j, i) = x2
Y(j, i) = y2
End If
If (y1 - (Koef * x1 + C)) * UpDown < -Accuracy Then
Call CutLine(x0, y0, x1, y1, Koef, C)
If Abs(x0 - x2) > Accuracy Or Abs(y0 - y2) > Accuracy Then
If x0 >= Xmin And x0 <= Xmax Then
For k = NVersh(i) To j Step -1
X(k + 1, i) = X(k, i)
Y(k + 1, i) = Y(k, i)
Next k
NVersh(i) = NVersh(i) + 1
End If
X(j, i) = x0
Y(j, i) = y0
End If
End If
ElseIf (y1 - (Koef * x1 + C)) * UpDown < -Accuracy Then
Call CutLine(x2, y2, x1, y1, Koef, C)
If Abs(x1 - x2) > Accuracy Or Abs(y1 - y2) > Accuracy Then
X(j, i) = x2
Y(j, i) = y2
End If
End If
End If
j = j + 1
Loop
End Sub
Sub CutLine(x1, y1, x2, y2, Koef, C)
Dim Koef2, C3
If Abs(x1 - x2) < Accuracy Then
y1 = Koef * x1 + C
Else
Koef2 = (y2 - y1) / (x2 - x1)
C3 = y1 - Koef2 * x1
If Koef <> Koef2 Then
x1 = (C3 - C) / (Koef - Koef2)
y1 = Koef * x1 + C
End If
End If
End Sub
Sub ReflectPoint(xNew, yNew, xOld, yOld, C, UpDown As Integer)
Dim Cos2_m_Sin2, DobleSinCos
Cos2_m_Sin2 = Cos(-UpDown * pi / 3) ^ 2 - Sin(-UpDown * pi / 3) ^ 2
DobleSinCos = 2 * Cos(-UpDown * pi / 3) * Sin(-UpDown * pi / 3)
xNew = xOld * Cos2_m_Sin2 + (C - yOld) * DobleSinCos
yNew = xOld * -DobleSinCos + (C - yOld) * Cos2_m_Sin2 + C
End Sub
Function Color_Random(i As Integer) As Long
Dim j
Select Case i
Case 1
Color_Random = RGB(255, Rnd() * 255, 0)
Case 2
Color_Random = RGB(Rnd() * 255, 255, 0)
Case 3
Color_Random = RGB(0, 255, Rnd() * 255)
Case 4
Color_Random = RGB(0, Rnd() * 255, 255)
Case 5
Color_Random = RGB(Rnd() * 255, 0, 255)
Case 6
Color_Random = RGB(255, 0, Rnd() * 255)
Case Else
j = Rnd() * 3
Select Case j
Case 0 To 1
Color_Random = RGB(200 + Rnd() * 55, Rnd() * 255, 0)
Case 1 To 2
Color_Random = RGB(0, 200 + Rnd() * 55, Rnd() * 255)
Case 2 To 3
Color_Random = RGB(Rnd() * 255, 0, 200 + Rnd() * 55)
End Select
End Select
End Function |
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