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A helix, sometimes also called a coil, is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (Steinhaus 1999, p. 229). It is for this reason that squirrels chasing one another up and...
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If velocity, acceleration, jerk, snap, crackle, and pop are the first, second, third, fourth, fifth, and sixth derivatives of position, what would a graph of y=1 on a pop v.s time graph look like converted to a position v.s time graph? - Quora
Answer (1 of 4): Other answers demonstrate the results of simple mathematical integration of the function:
pop(t) = 1
showing that position is a 5th power of time:
s(t) = kt^5
However, we know something about jerk, which is actually a real thing: the derivative of acceleration with respect to...
Spiral tool for grasshopper - Grasshopper - McNeel Forum
I see many interesting solutions for creating spiral surfaces in Grasshopper โฆhas anyone made an addon that mimics the rhino spiral toolโฆhas the same parameters of start and end radius, number of turns, axis, along a curveโฆso that all I need in rhino is the start point and a line or curve to act as the axis and the other choices can be made in grasshopper with slides for all the valuesโฆmaybe introduce an extra radius in between so that the spiral could have necks or bulges the way you can do wi...