Fibonacci Triangle Matrices
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12-20-2018, 02:29 PM
Post: #1
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Fibonacci Triangle Matrices
Original blog post: https://edspi31415.blogspot.com/2018/12/...nacci.html
This program is the request of John Cvetan. I thank you for your suggestion. To generate the Fibonacci triangle, 1. Let r the row and c be the column with f_0,0 = 1 f_1,0 = 1 f_1,1 = 1 f_2,1 = 1 2. Each row will be determined by adding the last two terms going diagonally. You can use one of two formulas: f_r,c = f_r-1,c + f_r-2,c f_r,c = f_r-1,c-1 + f_r-1,c-2 The Program FIBMAT FIBMAT generates a Fibonacci triangle in matrix form. It's the result is a triangle that is "tilted". n will need to be 3 or greater. Code: EXPORT FIBMAT(n) The Program FIBTRI This is a visual program for Fibonacci Triangle. FIBTRI(n) generates a visual Fibonacci Triangle - although I don't recommend going beyond 12 rows due to the constraints of the screen. I used the small font for the rows. HP Prime Program FIBTRI Code:
Hosoya, Haruo. "Fibonacci Triangle" Ochanomizu University, Tokyo, Japan. 1976. https://www.fq.math.ca/Scanned/14-2/hosoya.pdf |
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Messages In This Thread |
Fibonacci Triangle Matrices - Eddie W. Shore - 12-20-2018 02:29 PM
RE: Fibonacci Triangle Matrices - John Keith - 12-21-2018, 04:01 PM
RE: Fibonacci Triangle Matrices - Eddie W. Shore - 12-22-2018, 03:00 AM
RE: Fibonacci Triangle Matrices - DA74254 - 12-22-2018, 07:07 AM
RE: Fibonacci Triangle Matrices - Eric Rechlin - 12-22-2018, 03:01 PM
RE: Fibonacci Triangle Matrices - Albert Chan - 12-22-2018, 05:31 PM
RE: Fibonacci Triangle Matrices - compsystems - 12-22-2018, 06:33 PM
RE: Fibonacci Triangle Matrices - Eddie W. Shore - 12-23-2018, 09:33 PM
RE: Fibonacci Triangle Matrices - pier4r - 12-23-2018, 09:59 PM
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