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+---- Thread: Aliens Among Us (/showthread.php?tid=958)
Aliens Among Us - bplus - 10-10-2022
I just saw a video and hey they are right here in this!
Code: (Select All)
_Title "Pascal Triangle display exercise 2018-01-13 bplus"
'2018-01-13 Pascal Triangle.txt for JB 2015-10-31 MGA/B+
_Define A-Z As _INTEGER64
Const xmax = 1200
Const ymax = 400
Screen _NewImage(xmax, ymax, 32)
_ScreenMove 100, 60
printline = 2
For row = 0 To 20
build$ = ""
printline = printline + 1
For column = 0 To row
build$ = build$ + Right$(Space$(7) + Str$(binom(row, column)), 7)
Next
Locate printline, (150 - Len(build$)) / 2
Print build$
Next
Sleep
Function binom (n, m)
binom = fac(n) / (fac(m) * fac((n - m)))
End Function
Function fac (n)
f = 1
For i = 1 To n
f = f * i
Next
fac = f
End FunctionTo be continued... as soon as I get it coded ;-))
Meanwhile wonder WTH?
Oh better yet, try to anticipate where I am going with this.
RE: Aliens Among Us - bplus - 10-10-2022
Finally got the code to match a couple other forums but only a few really look like aliens.
Wait... how would I know what aliens look like?
RE: Aliens Among Us - James D Jarvis - 10-10-2022
You have me intrigued.
RE: Aliens Among Us - bplus - 10-10-2022
I better not build it up too much. I saw it here, 55 secs to 1:15 secs, https://www.youtube.com/watch?v=o1eLKODSCqw
I checked to see if done anywhere else, ie in code, no but I found this too,
https://www.reddit.com/r/visualizedmath/comments/7pgf5n/pascals_triangle_represented_in_binary/
And here is code that draws out the "aliens":
Code: (Select All)
_Title "Pascal Triangle Aliens Among Us" '2022-10-10 bplus
_Define A-Z As _INTEGER64
Screen _NewImage(500, 500, 32)
_ScreenMove 350, 100
For row = 0 To 20 ' level on pyramind 0 is 1, 1 is 1,1 2 is 1,2,1...
Print "Row"; row
For col = 0 To row
b$ = Dec2Bin$(binom(row, col))
'Print b$; ",";
h = (1 + Len(b$)) * 20
For y = 1 To Len(b$)
If Mid$(b$, y, 1) = "1" Then Line (250 - 10 * row + col * 20, 500 - h + y * 20)-Step(20, 20), _RGB32(0, 180, 0), BF
Next
Next
Sleep
Cls
Next
Function binom (n, m)
binom = fac(n) / (fac(m) * fac((n - m)))
End Function
Function fac (n)
f = 1
For i = 1 To n
f = f * i
Next
fac = f
End Function
Function Dec2Bin$ (integerBase10 As _Integer64) 'no more &B because easier to add than to remove
Dim j As Integer, b$
If integerBase10 = 0 Then Dec2Bin$ = "0": Exit Function
While 2 ^ j <= integerBase10
If (integerBase10 And 2 ^ j) > 0 Then b$ = "1" + b$ Else b$ = "0" + b$
j = j + 1
Wend
Dec2Bin$ = b$
End FunctionThe coefficients are converted from decimal to binary and 1's draw green square, 0's stay black and squares stacked from highest power of 2 to 2^0 times 1 or 0 each column is a coefficient on the given row ie (a + b) ^ row
Marvin, Headphones, Janus, L-afant, and Humph!
RE: Aliens Among Us - Pete - 10-17-2022
Oh, so that's the other use of Pascal's Triangle! Who'd-a-thunk?
Pete
