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Cone Pot Labels

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Alex- Posted messages 3004 Registration date   Status Member Last intervention   -
Hello,

I want to dress a cone-shaped pot with a label, but I can't seem to size the label to fit the shape of the pot properly. Please help me, thank you.

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2 answers

  1.
    Alex- Posted messages 3004 Registration date   Status Member Last intervention   964
     
    Hello,

    I need to know if you want to create a montage (sticking a label on a photo or a perspective drawing of a pre-existing conical object) or if you actually want to make a pattern for a label that will be printed and this print glued onto an existing real cone.

    If it's the second option (the pattern), it's just a problem of descriptive geometry to trace the development of a conical surface.

    For that, you need to know the radius of the base circle and the height of your cone in order to trace the pattern, which will have the shape of a portion of a circular surface. To draw this pattern, you will need to calculate the radius of this circular portion as well as its angle.

    Let's assume the radius of the base circle is 2 cm and the height of the cone is 5 cm. There is a right triangle that passes inside your cone in which the longest right angle is the height of your cone, the smallest is the radius of your base, and the hypotenuse is the radius of your pattern. With Pythagoras, we can find this radius since we can calculate the hypotenuse:

    5² + 2² = hypotenuse²
    therefore
    hypotenuse = √29, which is 5.385 cm

    Next, the length of the circular portion of your pattern is equal to the perimeter of the base circle, so:

    perimeter of the circle and thus length of the curved segment of your pattern: 2πR
    which is 4π

    Then, you need to calculate the perimeter of the circle in which the circular portion representing your pattern is inscribed and make a cross product to find the last missing element: the angle.

    The perimeter of the circle in which your pattern is inscribed is:

    2π x 5.385, which is 10.77π

    thus the angle of your pattern:

    (4π x 360) / 10.77π = 4523.89 / 33.83 = 133.72°

    Therefore, your pattern will be a portion of a circle contained within an angle of 133.72° and with a radius of 5.385 cm.

    If needed, provide the dimensions of your cone for recalculation.
    2
  2. contrariness Posted messages 343 Registration date   Status Member Last intervention   6 243
     
    I believe there are software programs for managing anamorphosis, but if it's for a one-time use, you'll get a faster result by creating a paper mock-up to place on the object and making small adjustments to achieve the desired result.
    1