
Post by danuthorincas on Aug 29, 2022 18:31:30 GMT
429 is what I got for air bubbles floating to top last row doesn't make cut inside 600 pixel square, almost but not quite. Screenshot 600 x 600 window. Now Easter Eggs is a different story! How did you calculate ?Thanks



Post by plus on Aug 30, 2022 2:33:18 GMT
pi = 3.141592 ' cos(30) = x / hypt so x (the vertical dist between circle centers) = 50 cos(30) or 50*cos(2*pi/12) ' cos(30) = x/50 ' = the difference in vertical height of circle centers ' 30 degrees = 1/12 of circle = 2*pi/12 cch = 50 * cos(2*pi/12) ' circle center height from one layer to next is this print "The first and last row are at least 25 away from edge." print "The difference between each row height of circles is then ";cch 'the first layer of circle is 25 from edge row = 1 h = 25 ' to middle of first row of circles cnt = 12 toggle = 0 print "Row", "Height", "Count" print row, h, cnt [anotherRow] if h + cch + 25 <= 600 then ' last row needs another radius height to clear the last edge 'add another row row = row + 1 if toggle then cnt = cnt + 12 else cnt = cnt + 11 h = h + cch 'this is centers of circle stack height not the very top, another 25! toggle = 1  toggle print row, h, cnt goto [anotherRow] end if
The first and last row are at least 25 away from edge. The diffeence between each row height of circles is then 43.3012729 Row Height Count 1 25 12 2 68.3012729 23 3 111.602546 35 4 154.903819 46 5 198.205092 58 6 241.506365 69 7 284.807637 81 8 328.10891 92 9 371.410183 104 10 414.711456 115 11 458.012729 127 12 501.314002 138 13 544.615275 150
Also confirmed on the Engineering Calculator here: www.engineeringtoolbox.com/circleswithinrectangled_1905.htmlAttachments:



Post by plus on Aug 30, 2022 16:13:33 GMT
Here is an illustration to help with the Geometry / Trig of determining the Vertical Height between layers of Circles: Attachments:

