Rules of Brahmagupta

MB3D
Here's the 64th entry in my pong with Glenda - recycledrelatives .  The reply to Stand Out -- Pong 63

See all the entries in our pong entries here - at :   Team Mysterious Ways

A little Mandelbulb3D shop talk for those interested - three active formula - _Transform, _AmazingBox and Amazing Box.
In the second formula slot there is a ManowarBulb formula but I set its iteration value to zero - effectively turning it off.  When I went to tidy-up and actually removed it, it had a slight, noticeable effect on the image.  I left it in at zero.

Mandelbulb3Dv18{
g.....x/...g2...w.....U...kDkTl6SwSgzEpFwubIE92E0V6THiZDLyXJd895tLBxz0ArzxbBSCvD
................................GaDBvKEj/02.......0b./..................c.2...wD
...Uz6/....L.....MU1/....2EaI....3....E3.....gTorpaL9yfD/M.........Q/pAnAt1....c
z.EnAnID12../2UaNaNaN4B2.NaNaNaN44.EOaNaNaNy3.2...........U0.....y1...sD...../..
.z1...kD6YJa/goBlt9EWQ1H0mPVycNmiwyccxfjmzAPZqDtxuPRjZFzH70dy8GVDIv7SCYDj8sQGQK/
Yuv.A46meJQjy2XUydfiMRcDU.....Y8A...lF........sD.6....sD..G.....................
.............oAnAt1...sD....zw1....................................Nvc7EX....k1.
.....Ksulz1.......kzSwzzz1.U..6.P....61...EB....m.w/Bc3.US.F....6/...I1.....SF52
...U.ydelyjeYFnzTeOgzf8No.6.1c..zzzz..EizccZWGyD6EdGkxmWcz1...........k.8.kXWF1.
.sM93P58iz9.MmnWK2zwz0........../EU0.wzzz1...........23...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1...................................gPhi0U7EgU7a9FoTu2.oQm2ooR7nueM.YXB
bYHkss6Ul/k6Ukl6SeIX2W5.a.l0a./JvKff.M029MmORFcEs/U7EgU7cNaAXB3.a.l0acvPv8Or.M02
9MG9tJpPl/U7EgU7...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................
E../.Ek6l6U.....I....U....kLI7LMiBbNj7LP..UQ..............................E/3IU.
...........BnAnAnAXwz.........xDAnAnAnAnKz1.....................................
................................................................................
...........................3....5....oIMixqRV7bEplaM..pPr/......................
.....MU/4.U.4........MaNaNaNa//kNaNaNaNa..QnAnAnAng../oAnAnAnAwD.......U4/2.....
..0H.1.......a2k................................................................
................................2....E/...U.....T3IPVdLOiRaEjV5.m/..............
............5g..................bNaNaNax6.2.......svzoAnAnAnA5.EBnAnAnAnkz1.....
..E1.pAnAnAnAH.E................................................................
..........................................U0....2....A....EEh3aSdtqNU6oPs/.IjR5.
......................k/9..................aNaNaNa/xz0......U0zjzzzzzzzLzz1.....
................................................................................
........................................................}


Rules of Brahmagupta

The rules governing the use of zero appeared for the first time in Brahmagupta's book Brahmasputha Siddhanta (The Opening of the Universe), written in 628 AD. Here Brahmagupta considers not only zero, but negative numbers, and the algebraic rules for the elementary operations of arithmetic with such numbers. In some instances, his rules differ from the modern standard. Here are the rules of Brahmagupta:

    The sum of zero and a negative number is negative.
    The sum of zero and a positive number is positive.
    The sum of zero and zero is zero.
    The sum of a positive and a negative is their difference; or, if their absolute values are equal, zero.
    A positive or negative number when divided by zero is a fraction with the zero as denominator.
    Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator.
    Zero divided by zero is zero.


en.wikipedia.org/wiki/0_%28num…