That should be easy enough to do.  I don't have the
equations memorized for this.  If it was me attempting
to do it, I'd start by grabbing any and all math and
physics books, and looking up pendulums and periods
and stuff like that.  Sooner or later if you do that,
you'll find the equation which describes the velocity
at any given point in the swing.

Once you know that, then you can go back to your
time slices and your bits, and then assign them so that
they come the closest possible at each point that you
have defined.

Grab all the books, blow the dust off, and have fun!!
This is a good one, and congratulations for doing it!
Let us know how it turns out.

Chuck

>
>
>---- Original Message ----
>From: bvd...@xplornet.com
>To: neonixie-l@googlegroups.com
>Subject: RE: [neonixie-l] Math wizzards....
>Date: Sat, 22 Feb 2014 11:43:44 -0500
>
>>Yes, I am with you so far. My challenge is to actually put that
>knowledge to
>>work, and find the correct numbers.
>>
>> 
>>
>>Cheers, Bill
>>
>> 
>>
>>From: neonixie-l@googlegroups.com
>[mailto:neonixie-l@googlegroups.com] On
>>Behalf Of Tidak Ada
>>Sent: Saturday, February 22, 2014 11:03 AM
>>To: neonixie-l@googlegroups.com
>>Subject: RE: [neonixie-l] Math wizzards....
>>
>> 
>>
>>Remember the swing velocity is a (co)sine function. The highest
>speed is in
>>the zero crossing the tops are the left and right ends of the swing
>with a
>>speed zero.
>>
>> 
>>
>>eric
>>
>> 
>>
>>  _____  
>>
>>From: neonixie-l@googlegroups.com
>[mailto:neonixie-l@googlegroups.com] On
>>Behalf Of Bill van Dijk
>>Sent: zaterdag 22 februari 2014 16:31
>>To: neonixie-l@googlegroups.com
>>Subject: [neonixie-l] Math wizzards....
>>
>>Hello,
>>
>> 
>>
>>I have built a clock controlled by a PIC with 6 numitrons in the
>centre.
>>Around them is a circle of 60LEDs which are programmed to display a
>number
>>of different patterns. I am currently working on a pendulum pattern
>which
>>uses the lower 30 LEDs. I have the software done, the challenge is
>this:
>>
>> 
>>
>>A pendulum has a period and an angular velocity that changes from 0
>at the
>>ends, and maximum in the center, following an equation. In the
>software I
>>currently have 36 time slices (program steps, 0 to 35) in a half
>period of
>>107 clock cycles, for a total of 3852 cycles for one swing (left or
>right). 
>>
>> 
>>
>>Looking at one swing, my challenge now is to divide the 36 program
>steps of
>>107 clock cycles such that the total number of clock cycles remains
>3852,
>>but the actual number of clock cycles per step are divided such as
>to
>>approximate the equation of one pendulum swing  (left or right). 
>>
>> 
>>
>>Anyone willing to take a stab at this?
>>
>> 
>>
>>Bill van Dijk
>>
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