' Generates Magic Squares of order 3 for Odd Numbers
' Suitable for Concentric Lozenge Squares and Diamond Inlays

' Tested with Office 2007 under Windows 7

```Sub Priem3a()

Dim a1(121), a(9), b1(121), b(121), c(9)

y = MsgBox("Locked", vbCritical, "Routine Priem3a")
End

n1 = 0: n9 = 0: k1 = 1: k2 = 1: m1 = 1

'   Define Parameters

s1 =  39: nVar1 =  25: m2 = 13:
'   s1 =  75: nVar1 =  49: m2 = 25:
'   s1 = 123: nVar1 =  81: m2 = 41:
'   s1 = 183: nVar1 = 121: m2 = 61:

i2 = 0
For i1 = 1 To nvar1 Step 2                                       'odd
i2 = i2 + 1: a1(i2) = i1: b1(i1) = i1
Next i1

For j9 = m1 To m2                                                    'a(9)
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 160
a(9) = a1(j9)

For j8 = m1 To m2                                                    'a(8)
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 120
a(8) = a1(j8)

a(7) = s1 - a(8) - a(9):
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 110:
If b1(a(7)) = 0 Then GoTo 110

a(6) = 4 * s1 / 3 - a(8) - 2 * a(9):
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 110:
If b1(a(6)) = 0 Then GoTo 110

a(5) = s1 / 3:
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 110:
If b1(a(5)) = 0 Then GoTo 110

a(4) = -2 * s1 / 3 + a(8) + 2 * a(9):
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 110:
If b1(a(4)) = 0 Then GoTo 110

a(3) = -s1 / 3 + a(8) + 1 * a(9):
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 110:
If b1(a(3)) = 0 Then GoTo 110

a(2) = 2 * s1 / 3 - a(8):
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 110:
If b1(a(2)) = 0 Then GoTo 110

a(1) = 2 * s1 / 3 - a(9):
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 110:
If b1(a(1)) = 0 Then GoTo 110

'                         Exclude solutions with identical numbers

GoSub 800: If fl1 = 0 Then GoTo 110

'                         n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
n9 = n9 + 1: GoSub 650 'Print results (squares)

110 b(c(8)) = 0: c(8) = 0
120 Next j8

b(c(9)) = 0: c(9) = 0
160 Next j9

t2 = Timer

t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem3a")

End

'   Print results (selected numbers)

640 Cells(n9, 9).Select
For i1 = 1 To 9
Cells(n9, i1).Value = a(i1)
Next i1

Return

'   Print results (squares)

650 n1 = n1 + 1
If n1 = 5 Then
n1 = 1: k1 = k1 + 4: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 4
End If

Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = n9

i3 = 0
For i1 = 1 To 3
For i2 = 1 To 3
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return

'   Exclude solutions with identical numbers

800 fl1 = 1
For j1 = 1 To 9
a2 = a(j1): If a2 = 0 Then GoTo 810
For j2 = (1 + j1) To 9
If a2 = a(j2) Then fl1 = 0: Return
Next j2
810 Next j1
Return

End Sub
```