Phi (Golden Ration) Rules

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  • leehljp
    The Full Monte
    • Dec 2002
    • 8758
    • Tunica, MS
    • BT3000/3100

    #1

    Phi (Golden Ration) Rules

    I just noticed this on LeeValley's site:

    http://www.leevalley.com/US/wood/pag...=1,43513,57625

    Anyone use these? Kinda remind me of my appreciation of Center Finder Rules. It simplifies my calculations.

    There have been several posts in the past on the Golden Ration aspect but I don't remember any suggestions of Phi Rules. Apologies if they have been mentioned.
    Hank Lee

    Experience is what you get when you don't get what you wanted!
  • cwsmith
    Veteran Member
    • Dec 2005
    • 2804
    • NY Southern Tier, USA.
    • BT3100-1

    #2
    Read about them in a couple of my "furniture" books" and basically recall some discussion in that regard to an old high school drafting class; but, I haven't exercised the "golden ratio".
    Think it Through Before You Do!

    Comment

    • twistsol
      SawdustZone Patron
      • Dec 2002
      • 3104
      • Cottage Grove, MN, USA.
      • Ridgid R4512, 2x ShopSmith Mark V 520, 1951 Shopsmith 10ER

      #3
      I bought a book on this years ago, read it, forgot about it, and never used it for any design. I should probably dig it out again sometime and look at it again.
      Chr's
      __________
      An ethical man knows the right thing to do.
      A moral man does it.

      Comment

      • LCHIEN
        Super Moderator
        • Dec 2002
        • 21968
        • Katy, TX, USA.
        • BT3000 vintage 1999

        #4
        Unlike Pi and e there is not an exact number for Phi. Its an approximation and you can generally eyeball it. An accurate measure is not needed. If you need to know its roughly 1.6.

        If you're off a bit no one will notice, as opposed to being off center everyone will notice and the picture will hang crooked.

        So seems like a gimmick to me. If you can multiply by 1.6 you don't need the special ruler. Generally I eyeball a pleasing rectangle.
        Loring in Katy, TX USA
        If your only tool is a hammer, you tend to treat all problems as if they were nails.
        BT3 FAQ - https://www.sawdustzone.org/forum/di...sked-questions

        Comment

        • graysonh
          Forum Newbie
          • Jan 2014
          • 6
          • Placerville, CA

          #5
          I agree Loring, re eyeballing. it's truly amazing how the eye will gravitate toward the golden ratio.

          For the record it's "the whole is to the larger part as the larger part is to the smaller part". Ancient Greeks did not really use numbers!

          Comment

          • knotley
            Established Member
            • Apr 2003
            • 126
            • Canada.

            #6
            Originally posted by LCHIEN
            Unlike Pi and e there is not an exact number for Phi. ....
            That is news to math nerds everywhere. Pi, e AND Phi are all irrational and therefore not exact.
            I have used Phi and the Golden ratio in subwoofer design and cabinets. Sounds good and looks golden.

            Comment

            • scmhogg
              Veteran Member
              • Jan 2003
              • 1839
              • Simi Valley, CA, USA.
              • BT3000

              #7
              I made a caliper that helped me to use the golden ratio.

              http://www.bt3central.com/search.php?searchid=6495

              Steve
              I would never die for my beliefs because I might be wrong. Bertrand Russell

              Comment

              • LCHIEN
                Super Moderator
                • Dec 2002
                • 21968
                • Katy, TX, USA.
                • BT3000 vintage 1999

                #8
                Originally posted by knotley
                That is news to math nerds everywhere. Pi, e AND Phi are all irrational and therefore not exact.
                I have used Phi and the Golden ratio in subwoofer design and cabinets. Sounds good and looks golden.
                Sorry as an scientist/math person I know better but when I mean exact I was thinking like an engineer and I meant you can express it accurately to many decimal places, more than your math resolution...
                Pi is 3.1415926 (that's pretty much all an engineer needs for IEEE single precision floating point arthimetic)
                Phi is approx 1.6 ... or so. It's approximate and if your tried to express it to 6 decimal places and cut it that way I'd laugh at you.
                Last edited by LCHIEN; 05-06-2015, 06:59 PM.
                Loring in Katy, TX USA
                If your only tool is a hammer, you tend to treat all problems as if they were nails.
                BT3 FAQ - https://www.sawdustzone.org/forum/di...sked-questions

                Comment

                • leehljp
                  The Full Monte
                  • Dec 2002
                  • 8758
                  • Tunica, MS
                  • BT3000/3100

                  #9
                  Originally posted by LCHIEN
                  Sorry as an scientist/math person I know better but when I mean exact I was thinking like an engineer and I meant you can express it accurately to many decimal places, more than your math resolution...
                  Pi is 3.1415926 (that's pretty much all an engineer needs for IEEE single precision floating point arthimetic)
                  Phi is approx 1.6 ... or so.
                  I get it. Kinda of like the difference between "level" vs "flat". "Flat" is straight while "level" can be curved.
                  Last edited by leehljp; 05-05-2015, 05:56 AM.
                  Hank Lee

                  Experience is what you get when you don't get what you wanted!

                  Comment

                  • dangre
                    Norum Fewbie
                    • Oct 2009
                    • 78
                    • Gardnerville, NV
                    • BT3100-1

                    #10
                    Originally posted by leehljp
                    I get it. Kinda of like the difference between "level" vs "flat". "Flat" is straight while "level" can be curved.
                    Good, in that case, my tummy is level.
                    Dan

                    In a recent survey, 4 out of 5 hammers preferred thumbs.

                    Comment

                    • leehljp
                      The Full Monte
                      • Dec 2002
                      • 8758
                      • Tunica, MS
                      • BT3000/3100

                      #11
                      Originally posted by leehljp
                      I get it. Kinda of like the difference between "level" vs "flat". "Flat" is straight while "level" can be curved.
                      OK, I will hijack my own thread for a comment on my "level vs flat" comment to Loring.

                      I drive 35 miles one way several times a week. This section of Highway 61 in the MS Delta has almost 30 miles of straight road. No curve for that section period, not even a degree off. And the MS Delta is flat - "a subjective term" for now. On a clear night returning home, there is a night light that I can first spot at 9 miles away, providing the traffic sparse or none. The light is about 12 feet up a pole about 50 feet off the highway. At the 7 mile mark I can see it just above oncoming headlights at a distance. At 5 miles, it is above any cars in the distance, but not trucks. There are a couple depressions in the land for bayous, but once out, the land is still basically flat . . . except it is not flat. It is level - as level is to the curve of the earth. In my case there are no hills or swells or rises etc. The land (highway) is level at most any one point but it certainly is not flat.
                      Was that confusing?
                      Hank Lee

                      Experience is what you get when you don't get what you wanted!

                      Comment

                      • knotley
                        Established Member
                        • Apr 2003
                        • 126
                        • Canada.

                        #12
                        Originally posted by leehljp
                        OK, I will hijack my own thread for a comment on my "level vs flat" comment to Loring.

                        I drive 35 miles one way several times a week. This section of Highway 61 in the MS Delta has almost 30 miles of straight road. No curve for that section period, not even a degree off. And the MS Delta is flat - "a subjective term" for now. On a clear night returning home, there is a night light that I can first spot at 9 miles away, providing the traffic sparse or none. The light is about 12 feet up a pole about 50 feet off the highway. At the 7 mile mark I can see it just above oncoming headlights at a distance. At 5 miles, it is above any cars in the distance, but not trucks. There are a couple depressions in the land for bayous, but once out, the land is still basically flat . . . except it is not flat. It is level - as level is to the curve of the earth. In my case there are no hills or swells or rises etc. The land (highway) is level at most any one point but it certainly is not flat.
                        Was that confusing?
                        That was a great explanation. Wonderful.

                        Comment

                        • twistsol
                          SawdustZone Patron
                          • Dec 2002
                          • 3104
                          • Cottage Grove, MN, USA.
                          • Ridgid R4512, 2x ShopSmith Mark V 520, 1951 Shopsmith 10ER

                          #13
                          Just got home and found the book on the shelf. If you have a long plane trip coming up, you can get it on Amazon.

                          The Golden Ratio, The story of Phi. The world's most astonishing number
                          by Mario Livio.

                          With a title like that, how could I not pick it up and read it.
                          Chr's
                          __________
                          An ethical man knows the right thing to do.
                          A moral man does it.

                          Comment

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