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' Associated Nasik Magic Cubes (m = 2x + 1, m >= 9, gcd(m, 3 x 5 x 7) = m)

' Tested with Office 2007 under Windows 7

Dim R37(3, 7)

Sub AssNasik23b()

y = MsgBox("Locked", vbCritical, "Routine AssNasik23b")
End

' Read Rectangle R37 from Spreadsheet (line format)

m = 21

For j10 = 2 To 19       'line number 2 ... 19 or 20 ... 5395 in Worksheet 'R37'

Sheets.Add: sht1 = ActiveSheet.Name: Sheets(sht1).Name = "Cubes" + CStr(j10)

k1 = 1: k2 = 0
For j20 = 1 To 21
    k2 = k2 + 1: If k2 = 8 Then k2 = 1: k1 = k1 + 1
    R37(k1, k2) = Sheets("R37").Cells(j10, j20).Value
Next j20
k1 = 0: k2 = 0

i1 = 0: j1 = 0: j2 = 0
For k = 0 To m - 1
For i = 0 To m - 1
i1 = i1 + 1
For j = 0 To m - 1
j1 = j1 + 1: j2 = j2 + 1

    b = i + 2 * j + 4 * k + 3
    c = i - 2 * j + 4 * k + 1
    While c < 0
        c = c + m
    Wend
    d = i + 2 * j - 4 * k - 1
    While d < 0
        d = d + m
    Wend
    
    b1 = b Mod m
    c1 = c Mod m
    d1 = d Mod m
    
    a = S21(b1) * m ^ 2 + S21(c1) * m + S21(d1) + 1

'   Print Cube

    If j1 = m + 1 Then j1 = 1
    If j2 = m ^ 2 + 1 Then j2 = 1: i1 = i1 + 1
    Cells(i1 + 1, j1 + 1).Value = a

'   print Components

'   Cells(i1 + 1, j1 + 1 + 9).Value = b1
'   Cells(i1 + 1, j1 + 1 + 18).Value = c1
'   Cells(i1 + 1, j1 + 1 + 27).Value = d1

Next j
Next i
Next k

Next j10

End Sub

Function S21(x)
    
    x1 = x Mod 3
    y1 = x Mod 7
    S21 = R37(x1 + 1, y1 + 1) - 1

End Function

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