_a2_ _a1_ hence 'a1' becomes the previous step forward or 'fd' of the lt/fd code Where A is the constant 0.5° angular step of the polar r/phi code However completing the right-angled triangles between these and solvingįor lt and fd was somewhat clumsy so a similar method using the polar radii of iterations, previous 'b1', Using from the r/phi procedure, the cartesian coordinates of calculations of 3 iterations, previous, The scale factor 's' can be adjusted to alter the spacing between the lines and therefore theįollowing a comment made by Seth Tisue at CCL, June 2003, lt/fd procedures were explored and added Mathematical point of view but to display conversion to cartesian coordinates was used. The original spirals were generated with the polar, r/phi procedure, the more natural from a The Archimedes spiral is generated by a rotation plus a constant velocity crossways displacementĪs in the case of a gramophone record, giving an equidistance spacing between the lines.īoth the evolute and the logarithmic spirals are growth spirals in which the spacing between the To curves is developed, which may have other applications.Īnyone of three well known spirals can be displayed by selection at the CHOICE widget. If clicking does not initiate a download, try right clicking or control clicking and choosing "Save" or "Download".(The run link is disabled for this model because it was made in a version prior to NetLogo 6.0, which NetLogo Web requires.)Īlternative procedures for displaying spirals are examined and a procedure for matching equations (back to the NetLogo User Community Models) Beginners Interactive NetLogo Dictionary (BIND)
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