A head device for a three-dimensional modeling equipment that radiates modeling light in a predetermined scanning pattern to a modeling plane comprising a first axis and a second axis perpendicular to each other, the head device comprising: a modeling light source array having a plurality of modeling light sources arranged in a line in a direction parallel to the first axis, wherein a length of the modeling light source array is a length or more of at least one side of the modeling plane, wherein a plurality of modeling beams generated in the plurality of modeling light sources form and apply one line scan having a direction of the first axis on the modeling plane to enhance modeling speed; a light guide unit comprising a polygon mirror and installed at a predetermined position of an upper portion of the modeling plane and having a function of reflecting modeling beams from the modeling light source array to apply the modeling beams on the modeling plane, and the light guide unit makes the one line scan of the first axis step to a direction of the second axis preventing an omitted portion from occurring when radiating modeling beams to the modeling plane; and a control unit that controls to interlock driving of the modeling light source array and the light guide unit, and to synchronize the plurality of modeling light sources for simultaneously applying to the modeling plane; wherein the light guide unit continuously or intermittently moves one line scan on the modeling plane to radiate modeling light to an entire surface of the modeling plane, wherein the polygon mirror of the light guide unit has a predetermined number of light reflecting surfaces at a side surface thereof and has a sectional shape of a regular polygon and installed using a polygon mirror axis parallel to the first axis as a rotation center axis, the polygon mirror has a cross-section of one of: a square, a regular pentagon, or a regular octagon, wherein the control unit controls an amplitude or a frequency of the modeling beams in order to correct a difference of path lengths necessary when the modeling beams arrive at each point forming the modeling plane or a difference of modeling beam output densities at the each point caused according to a difference of incident angles of the modeling beams to make uniform modeling beam output densities. a modeling light source array having a plurality of modeling light sources arranged in a line in a direction parallel to the first axis, wherein a length of the modeling light source array is a length or more of at least one side of the modeling plane, wherein a plurality of modeling beams generated in the plurality of modeling light sources form and apply one line scan having a direction of the first axis on the modeling plane to enhance modeling speed; a light guide unit comprising a polygon mirror and installed at a predetermined position of an upper portion of the modeling plane and having a function of reflecting modeling beams from the modeling light source array to apply the modeling beams on the modeling plane, and the light guide unit makes the one line scan of the first axis step to a direction of the second axis preventing an omitted portion from occurring when radiating modeling beams to the modeling plane; and a control unit that controls to interlock driving of the modeling light source array and the light guide unit, and to synchronize the plurality of modeling light sources for simultaneously applying to the modeling plane; wherein the light guide unit continuously or intermittently moves one line scan on the modeling plane to radiate modeling light to an entire surface of the modeling plane, wherein the polygon mirror of the light guide unit has a predetermined number of light reflecting surfaces at a side surface thereof and has a sectional shape of a regular polygon and installed using a polygon mirror axis parallel to the first axis as a rotation center axis, the polygon mirror has a cross-section of one of: a square, a regular pentagon, or a regular octagon, wherein the control unit controls an amplitude or a frequency of the modeling beams in order to correct a difference of path lengths necessary when the modeling beams arrive at each point forming the modeling plane or a difference of modeling beam output densities at the each point caused according to a difference of incident angles of the modeling beams to make uniform modeling beam output densities.