 Giza
 Spheres

 ```...here... the LL line... centered 120 cubits south of the south edge of G1 is expanded in width to 120 cubits wide ```
 (click pix for hi-rez)
 ```LL line 120 cubits wide north extension = -280 mid: -220 - 120 = -340 south extension = -400 ``` ```...to meet the edge of S1 ...being the sphere of G1 based on its height of 280 n having a diameter of 560 ```
 ```G1 as the model center north extension = +220 midpoint coords = 0 south extension = -220 ``` ```S1 as the sphere of G1 north extension = +280 midpoint as G1 = 0 south extension = -280 ``` ```that's the one on the right... projecting out from G1 center... on the left we have its mirror... with 120 cubits between the pair... ``` ```S1m ... S1's mirror... north extension = -400 mid: -220-60-60 = -680 south extension = -960 ``` ```...so, a second sphere is introduced ...centered: 680 cubits south of G1 ...where, it too, is tangent to... the LL, line made 120 cubits wide ```
 ```...but, that's not quite on the same line with G2 ``` ```below... S2, G2's sphere is added G2 center = ( -638.50 , -675.50 ) ``` ```G2 has a 411 cubit square base ...and its height is... 274.5 ``` ```thus, S2 is given a diameter of 549 ```
 ```the red sphere is a copy of S2 with same cubits south of G1: 675.5 but due south of G1 so 0 cubits east-west ``` ```S2m = ( 0 , -675.5 ) ```
 ```the cage around it is the first mirror: S1m (cloud texture above) ...moved onto G2's line so... 680 - 675.5 = 4.5 (notice it's half of 9) keeps S1's 560 diameter but now moved to align to that same center... so, the mirror spheres ...are now aligned... ``` ```S1m = ( 0 , -675.5 ) ```
 ```G1m new positionings... north extension = -395.5 mid: -220-60-60 = -675.5 south extension = -955.5 ``` ```S1 = ( 0 , 0 ) S1m = ( 0 , -675.5 ) S2m = ( 0 , -675.5 ) S2 = ( -638.5 , -675.5 ) ``` ```120 / 1.5 = 80 (3/4) 120 / 2 = 60 (half) 120 / 3 = 40 (-20) 120 / 4 = 30 (-10) 120 / 5 = 24 (-6) 120 / 6 = 20 (-4) ```
 ```120 / 7 = 17.142857 142857... which is ~pi (22/7) + 14 22 / 7 = 3.142857 142857... ``` ```120 / 8 = 15 ( -(22/7) - 1 ) 120 / 9 = 13.333... (-5/3) 120 / 10 = 12 tenth, (-4/3) 120 / 11 = 10.909090... from 12 = -1.0909090... ``` ```120 / 12 = 10 120 / 13 = 9.230769 230769... from 10 = -0.769230 769230... ``` ```120 / 14 = 8.57 142857 142857... ```
 ```120 / 15 = 8 120 / 16 = 7.5 ``` ```120 / 17 = 7.0588235294117647058823529411765... 120 is very round 17 is very prime ```
 ```120 / 18 = 6.666... (20/3) ... (120/17) - (120/18) = 0.392156862745098 0392156862745098... ```
 ```120 / 19 = 6.315789473684210526 315789473684210526... 120 / 20 = 6 120 / 21 = 5.7 142857 142857... 120 / 22 = 5.454545... 120 / 23 = 5.2173913043478260869565 2173913043478260869565... 120 / 24 = 5 120 / 25 = 4.8 120 / 26 = 4.615384 615384... 120 / 27 = 4.444... 120 / 28 = 4.2857 142857 142857... 120 / 29 = 4.1379310344827586206896551724 1379310344827586206896551724... 120 / 30 = 4 ```
 ```120 / 31 = 3.870967741935483870967741935483 120 / 32 = 3.75 120 / 33 = 3.636363... 33.333..= 3.6 120 / 34 = 3.5294117647058823 5294117647058823... 120 / 35 = 3.42857 142857 142857... 120 / 36 = 3.333... 120 / 37 = 3.243 243 243... 120 / 38 = 3.157894736842105263 157894736842105263... 120 / 39 = 3.076923 076923 076923 076923... 120 / 40 = 3 ```
 ```22 / 7 = 3.142857 142857 142857 142857... ... pi = 3.1415926535897932384626433832795.... diff. = 0.00126448926734961868021375957764 ``` ```...just over one and 1/4 thousandths ```  Giza
 Spheres