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"Spiral" is a general term describing a circular pathway in space. Without getting into mathematical formulas to describe the different types of spirals suffice it to say that, at the high school level, a spiral, as in the case of a whirlpool, can be seen to have a decreasing diameter along the medial axis of the spiral. In contrast, the diameter of a helix, such as a DNA molecule, is uniformly constant. Wrap a wire around a cone and then remove the cone; the shape of the wire is representative of a spiral. Wrap a wire around a cylinder and then remove the cylinder; the shape of the wire is representative of a helix. Pakrutoy

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Q: What is the difference between a spiral and a helix?
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What is a inclined plane wrapped around a cylinder?

That describes a screw or a bolt, or a similar device.


An inclined planes twisted into a spiral is call a what?

A helicoid. The outer edge is a helix but since it is a plane, not a line, it becomes a helicoid.


What is the mathematical equation for a 3-D spiral helix?

x = A*cos(t) , y = A*sin(t) , z = B*t Equations for a helix that has a radius of "A" and rises by 2*pi*B units per turn "B" could also be the the pitch (distance between threads on a bolt"), it is the change in height of the helix after one full rotation. You can parameterize the equation and get r(t) = A*cos(t)i + A*sin(t)j + B*tk , where i,j,&k are vectors "t" is in radians and is equated to the angular revolution as you progress along the helix. So if you where to make two full circles around your helix then t = 4*pi. If your helix was centered around the position (0,0,0) and it had a radius of 4, then at t=0 your (x,y,z) location would be (4,0,0). If you then made two full circles around the helix your (x,y,z) location would be (4,0,4*pi)


Does a spiral staircase have a constant slope?

Previous answer: "No because the line is not straight and the points of the slop is in different ares." The above is ambiguous. You need to define the term slope. The slope of a helix (or any curve) is normally defined as the slope of a line that is tangent to the helix (curve). And then you need to define, slope with respect to what? Normally that would be slope with respect to a horizontal plane. That slope, by definition, is constant for a helix with a vertical axis. The value of the slope of such a helix is pitch / (2*pi*R), where R is the radius from the axis. Then you have to consider where on the staircase you are. A staircase is not a single helix. It has width, or different radii. If you are walking up stairs at a constant radius R from the axis (on a helix), then the slope is constant. In any case, the average slope of the stairs varies with the radius R on which you are walking, so that would not be a constant.


What is difference between as on and as at?

difference between as on and as at