Method for printing a three-dimensional object

1. A method for printing a three dimensional object comprising:

a. providing a support structure, a rotatable build platform having a center and disposed on the support structure, and a print head,

b. calculating a distance of an object from the center of the rotatable build platform,

c. rotating the build platform,

d. slideably moving the build platform disposed on the support structure, and

e. printing the object on the build platform with the print head.

2. The method according to claim 1 , wherein the printing step comprises extruding a plastic.

3. The method according to claim 1 , further comprising moving the print head away from the build platform a predetermined distance and extruding a second layer on a first layer of extruded plastic.

4. The method according to claim 1 , wherein the steps of rotating and sliding are performed concurrently.

5. The method according to claim 1 , where the steps of rotating, sliding, and printing are performed concurrently.

6. The method according to claim 1 , further comprising calculating the inertia generated by the build platform and a partially printed object.

7. The method according to claim 6 , further comprising providing a driver for rotating the build platform and adjusting a drive current for the driver according the calculated inertia generated by the build platform and the partially printed object.

8. The method according to claim 7 , wherein a polar coordinate system is used to calculate the distance of the object from the center of the rotatable build platform.

9. The method according to claim 1 , further comprising rotating the build platform an angle, wherein the angle is based on a desired resolution and the distance of the object from the center of the rotatable build platform.

10. The method according to claim 1 , further comprising comparing a desired resolution to the distance the rotatable platform will move relative to a tip of a nozzle of the print head when the rotatable build platform is rotated a given angle.

11. The method according to claim 10 , further comprising skipping a printing step and rotating the build platform twice the given angle if the desired resolution is greater than the distance the rotatable platform will move relative to a tip of a nozzle when the rotatable build platform is rotated the given angle.

12. The method of claim 1 , wherein the build platform moves slidably in a linear direction in a horizontal plane.

13. A method for printing a portion of a layer of a three dimensional (3D) object comprising:

a. providing a support structure, a rotatable build platform having a center and disposed moveably on the support structure, and a print head including a nozzle having an extrusion tip;

b. moving the build platform in a horizontal plane, relative to the extrusion tip of the nozzle, including at least one or both of rotating the build platform a given angle and sliding the build platform a given distance in a linear direction;

c. extruding a melted plastic through the extrusion tip while moving the build platform relative to the extrusion tip, for printing a portion of a layer of an object on the build platform; and

d. during a step of moving that consists of rotating the build platform the given angle with the extrusion tip positioned at a distance from the center of the rotatable build platform that is calculated using a polar coordinate system, skipping an extruding step and rotating the build platform twice the given angle if a desired resolution of the three dimensional object is greater than a distance the rotatable platform will move, relative to the extrusion tip, when rotated the given angle.

14. The method according to claim 13 , further comprising providing a driver for rotating the build platform, calculating the inertia generated by the build platform and a partially printed object, and adjusting a drive current for the driver according the calculated inertia generated by the build platform and the partially printed object.

15. The method according to claim 13 for printing an additional layer of the 3D object, further comprising moving the print head vertically away from the build platform a predetermined distance, and printing a portion of a second layer on a first layer of the object.