a manufacturing process for a bevel gear forging die relating to an embodiment of the present invention is described next with reference to diagrams . first , a completed bevel gear forging die 10 is described while referring to fig1 ( hereafter , the up - down direction of fig1 will be referred to as the up - down direction of the bevel gear forging die 10 ). as shown in fig1 the bevel gear forging die 10 comprises a plurality of tooth molds 12 , for forming tooth grooves at the bevel gear , located in a spoke shape , and tooth grooves 14 , for forming teeth at the bevel gear , formed between the tooth molds 12 . each of the tooth molds 12 has a tooth mold side face ( tooth face ) 12 a , a tooth mold upper face 12 b , and a tooth mold face ( tooth base ) 12 c . each of the tooth grooves 14 has a tooth groove anterior face ( large diameter ) 14 a and a tooth groove bottom face ( tooth end ) 14 b . the base portion of the bevel gear forging die 10 has a bottom face 18 surrounded by the tooth molds 12 and the tooth grooves 14 . the central portion of the bottom face 18 has a circular opening 17 formed therein . the bevel gear forging die 10 is formed by machining a raw material by means of a radius end mill . here , the term “ radius end mill ” refers to an end mill in which side cutting blades and end cutting blades are connected by r - shaped ( arc - shaped ) cutting blades . the side cutting blades extend in a screw shape about the axis of the tool , and the end cutting blades extend from the outer edge of the tool toward the axis of the tool along the forward end face of the tool . [ 0054 ] fig2 and 3 show an example of a radius end mill 30 having two blades . a cutting blade 32 of the radius end mill 30 comprises a side cutting blade 32 a , an r - shaped cutting blade 32 b connected to the side cutting blade 32 a , and an end cutting blade 32 c extending from the r - shaped cutting blade 32 b toward an axis 30 a of the tool 30 . the cutting blade 32 has a chip disposal groove 36 provided thereon , this chip disposal groove 36 extending along the direction of the axis 30 a . the radius end mill 30 is connected to an nc machine ( not shown ) and , while rotating along the axis 30 a , performs machining of material either in a direction perpendicular to or along the axial direction ( depending on how it is deployed ). the bevel gear forging die 10 is processed from an intermediate material 10 a shown in fig4 and 5 . the intermediate material 10 a is material that has been forge molded and has a high degree of hardness . the intermediate material 10 a has a stepped portion 11 formed on its upper portion . connected to the stepped portion 11 is a concave cone shaped member 21 , and at a lower end of the concave cone shaped member 21 is a horizontal bottom face 13 that is connected to the concave cone shaped member 21 . the central portion of the bottom face 13 has an opening 17 formed therein . as shown in fig6 when the bevel gear forging die 10 is to be processed , the radius end mill 30 is first deployed along the circumference direction of the intermediate material 10 a , this performing rough processing on a side face 11 a and lower end face 11 b of the stepped portion 11 . during this processing , each time the radius end mill 30 rotates once in the circumference direction , it is deployed slightly toward the side face 11 a and the lower end face 11 b . accordingly , with each rotation of the radius end mill 30 , the side face 11 a and the lower end face 11 b are gradually machined . here , the term rough processing refers to a machining process whereby , prior to the final processing , a single round of processing results in as large a cut as possible . next , as shown in fig7 rough processing is performed on the bottom face 13 by deploying the radius end mill 30 in the circumference direction of the intermediate material 10 a . each time the radius end mill 30 rotates once in the circumference direction , it is deployed slightly toward the bottom face 13 . accordingly , the bottom face 13 is gradually machined with each rotation cycle of the radius end mill 30 . the rough processing performed on the bottom face 13 forms a bottom face 18 of the bevel gear forging die 10 , this bottom face 18 being yet to undergo final processing . further , as shown in fig9 it is also possible to form the stepped portion 11 with the radius end mill 30 using an intermediate material 10 a , shown in fig8 that does not have the stepped portion 11 and bottom face 13 formed thereon . when the rough processing has been completed at the stepped portion 11 and the bottom face 13 of the intermediate material 10 a , the rotating radius end mill 30 is deployed simultaneously in the direction perpendicular to its axial direction and in the direction parallel to its axial direction . in a movement parallel to its axis , the radius end mill 30 is pulled in a reward direction as shown by the number 19 in fig1 . the radius end mill 30 is not pushed in a forward direction for cutting the intermediate material 10 a . the deployment of the rotating radius end mill 30 forms grooves 15 in the concave cone shaped member 21 ( hereafter , deploying the radius end mill 30 simultaneously in the direction perpendicular to its axial direction and in the direction parallel to its axial direction in the reward direction ( diagonal deployment ) will be referred to as chip - completion processing ). the same radius end mill 30 is used for processing the groove 15 as is used for processing the stepped portion 11 and the bottom face 13 . fig1 shows the completed grooves 15 . tooth grooves 14 are formed by further processing the grooves 15 ; this is described later . [ 0060 ] fig1 shows an intermediate stage in the processing of the grooves 15 . the radius end mill 30 repeatedly performs the chip - completion processing , thereby gradually processing the grooves 15 . during the course of the chip - completion processing , the radius end mill 30 moves from the bottom face 18 , reaches the stepped portion 11 , and then is separated from the intermediate material 10 a . the radius end mill 30 then returns to the bottom face 18 , and the chip - completion processing is then repeated . the groove 15 is rough processed up to the depth indicated by the broken line 15 a . the reason the groove 15 is not machined beyond the outer side of the broken line 15 a ( the right side in fig1 ) is that the tooth grooves 14 are narrow toward their lower sides , and machining beyond the line 15 a would cut into the tooth molds 12 . in this manner , by performing chip - completion processing by means of the radius end mill 30 , the shape can be broadly machined with a single deployment of the radius end mill 30 . after the radius end mill 30 has completed processing one groove 15 , the radius end mill 30 processes the neighboring groove 15 . by repeatedly processing the grooves 15 in sequence , radially extending grooves 15 can be formed along the entire circumference of the concave cone shaped member 21 . the radius end mill 30 is a tool whose main purpose is to machine raw material by being deployed in a direction perpendicular to its axis . for this reason , the side cutting blades 32 a of the radius end mill 30 have a high machining ability . consequently , when the radius end mill 30 is deployed simultaneously in the axial direction and the direction perpendicular to the axial direction , processing is better performed if the side cutting blades 32 a , rather than the end cutting blades 32 c , perform the machining . as a result , when the radius end mill 30 performs the chip - completion processing ( simultaneous deployment in the axial reward direction and the direction perpendicular to the axial direction ), the grooves 15 can be processed efficiently using the side cutting blades 32 a . if the radius end mill 30 is moved simultaneously in the axial forward direction and the direction perpendicular to the axial direction , the end cutting blades 32 c , rather than the side cutting blades 32 a , perform the machining , and efficiency will be lowered . after the grooves 15 have been processed , as shown in fig1 , concave members 23 on the upper part of the grooves 15 are rough processed by means of the radius end mill 30 . the same radius end mill 30 is used for processing the concave members 23 as was used for processing the stepped portion 11 , the bottom face 13 , and the grooves 15 . in this manner , the same radius end mill 30 can be used even if the shapes to be formed differ , thereby reducing the effort required in replacing the radius end mill 30 with a different end mill . as shown in fig1 , the radius end mill 30 forms the concave portion 23 while performing tricolloid processing . tricolloid processing consists of the radius end mill 30 rotating along an axial direction ( see the arrow indicated by 30 e ) while the axis itself rotates ( see the arrow indicated by 30 d ). when the radius end mill 30 performs tricolloid processing , the concave portion 23 can be processed efficiently . fig1 shows the concave portions 23 after they have been processed . after the concave portions 23 are processed , the radius end mill 30 is replaced by a radius end mill 30 with a diameter smaller than that used for processing the stepped portion 11 , the bottom face 18 , the grooves 15 , and the concave portions 23 . as shown in fig1 , the grooves 52 are formed as the radius end mill 30 repeats chip - completion processing and further cuts into the grooves 15 . the grooves 52 are gradually formed as the radius end mill 30 repeats the chip - completion processing . when the radius end mill 30 reaches the concave portion 23 , it separates from the intermediate material 10 a , returns toward the bottom face 18 , and then recommences the chip - completion processing of the grooves 52 . the grooves 52 are formed up to the broken line shown by 52 a . fig1 shows the completed state of the grooves 52 . furthermore , as shown in fig1 , by deploying the radius end mill 30 in the direction of either the arrow shown by 42 or the arrow shown by 43 , the tooth molds 12 and the tooth grooves 14 can be rough processed . next , the same radius end mill 30 as used for processing the grooves 52 is used to rough process the tooth molds 12 and the tooth grooves 14 . as shown in fig1 and fig1 , the radius end mill 30 is deployed simultaneously in the circumference direction and the diameter direction of the intermediate material 10 a , thereby processing the tooth mold side face 12 a and the tooth mold face 12 c of the tooth molds 12 , and the tooth groove anterior faces 14 a of the tooth grooves 14 . the tooth molds 12 and the tooth grooves 14 are formed by the radius end mill 30 gradually machining towards the outer diameter of the intermediate material 10 a . the present process is started from the upper part of the intermediate material 10 a , and machining is performed until it is 50 μm short of that required for the final processing . after machining has been performed until it is short of that required for the final processing , the radius end mill 30 is deployed in a slightly downward direction . the radius end mill 30 then repeatedly machines the tooth molds 12 and the tooth grooves 14 while being deployed in the circumference direction and the diameter direction . when the tooth molds 12 and the tooth grooves 14 have been processed , the lower end face 11 b of the stepped portion 11 is cut into , this forming the tooth mold upper faces 12 b therein . as shown in fig1 , the radius end mill 30 processes the tooth molds 12 and the tooth grooves 14 up to a depth corresponding to the bottom face 18 ( that is , up to the broken line 54 ). processing the tooth grooves 14 up to a depth corresponding to the bottom face 18 forms the tooth groove bottom face 14 b . in this manner , the bevel gear forging die 10 is formed in the shape shown in fig1 this being before final processing is performed . next , the final processing is performed . in the final processing , the tooth molds 12 and the tooth grooves 14 etc . molded by means of the rough processing are machined to a depth of 50 μm . as shown in fig2 , the radius end mill 30 is used to perform the final processing on the tooth mold upper face 12 b . next , the radius end mill 30 is used to perform the final processing on the tooth molds 12 and the tooth grooves 14 . during this process , as in the case of rough processing described with the aid of fig1 and 19 , the radius end mill 30 is deployed simultaneously in the circumference direction and the diameter direction of the intermediate material 10 a , and processes the tooth molds 12 and the tooth grooves 14 . when the upper portions of the tooth molds 12 and the tooth grooves 14 have been processed up to the given depth , the radius end mill 30 is deployed in a slightly downwards direction , and the tooth molds 12 and the tooth grooves 14 are repeatedly processed further . after the radius end mill 30 has reached the lowest portion , the final processing of the tooth groove bottom face 14 b and the bottom face 18 is also completed . if it is necessary to have a small r - shape in the corner common to the two faces , final processing is performed using a bowl end mill having a smaller diameter . the bevel gear forging die 10 is completed by means of the above processes . [ 0070 ] fig2 shows a corner 46 which connects the tooth mold side face 12 a and the tooth groove bottom face 14 b , and shows the tooth groove bottom face 14 b being processed by the radius end mill 30 . during this process , the radius end mill 30 is deployed in a direction perpendicular to the face of the paper on which fig2 is presented . an r - shape having the same shape as the r - shaped cutting blade 32 b is formed in the corner 46 by the r - shaped cutting blade 32 b of the radius end mill 30 . instead of using the radius end mill 30 , such an r - shape can alternatively be created by means of a bowl end mill . however , the entirety of the cutting blade of the bowl end mill is r - shaped . for this reason , using a bowl end mill to form the corner 46 shape does not allow simultaneous processing of the tooth groove bottom face 14 b . consequently , incomplete machining of the tooth groove bottom face 14 b results , and the bowl end mill must be deployed several times in order to process the tooth groove bottom face 14 b . compared to using the radius end mill 30 , an excessive number of tools must be used ; moreover , adjoining small r - shape is formed on the tooth groove bottom face 14 b ( the final shape is uneven ). accordingly , using the radius end mill 30 rather than the bowl end mill reduces the number of tools that must be used , and a good quality final shape can be achieved . when the r - shape of the r - shaped cutting blades 32 b of the radius end mill 30 is identical with the r - shape of the bowl end mill , the diameter of the radius end mill 30 can be made larger than that of the bowl end mill . consequently , the rigidity of the radius end mill 30 in its axial direction is greater than that of the bowl end mill . when the rigidity is greater , the movement of the cutting blades ( the recess of the cutting blades ) during the machining process is smaller . consequently , compared to the case where the bowl end mill is used , using the radius end mill 30 allows more precise processing . moreover , when the r - shape of the r - shaped cutting blades 32 b of the radius end mill 30 is identical with the r - shape of the bowl end mill , since the diameter of the radius end mill 30 can be made larger than that of the bowl end mill , the peripheral speed of the cutting blades ( the side cutting blades 32 a , the r - shaped cutting blades 32 b , and the end cutting blades 32 c ) of the radius end mill 30 is greater than the bowl end mill . when the moving speed of the cutting blades is greater , a high machining speed can be achieved . in order to increase the life of the bevel gear forging die 10 , the intermediate material 10 a to be processed by the radius end mill 30 is one with a high degree of hardness ( usually , this is a material with a rockwell hardness of 60 hrc or greater ). as an example of desirable dimensions , when processing a material with a high degree of hardness , the radius of the r - shaped cutting blade 32 b can be 0 . 5 mm , with a tolerance of plus or minus 5 μm , with the tolerance of the central location ( number 71 in fig2 ) of the r - shaped cutting blade 32 b being plus or minus 5 μm . by using a radius end mill 30 with such dimensions , material with a high degree of hardness can be processed with high precision . the radius of the r - shaped cutting blade 32 b is determined from a fact that the bevel gear forging die 10 has a minimal processing radius of 0 . 5 mm . in other words , in order to guarantee precision in the bevel gear , if the allowable minimum value of an r - shape ( for example , the corner 46 ) of the bevel gear forging die 10 is kept at 0 . 5 mm , the value of the radius of the r - shaped cutting blade 32 b of the radius end mill 30 is set at an identical value , i . e ., 0 . 5 mm . in this manner , the curvature or radius of the radius end mill 30 is determined on the basis of the allowable processing values of the unprocessed material . moreover , by increasing the cross - sectional ratio of the radius end mill 30 , it is possible to increase its rigidity along the axial direction thereof , thereby increasing processing accuracy . here , cross - sectional ratio is defined as the ratio of the segment ( measured from the external diameter ) that does not have a groove cut into it , to the lateral cross - section of the radius end mill . normally , the anterior end of the cutting blade 32 of the radius end mill 30 has a concave member 61 formed therein , this being shown by the broken line in fig2 . when the concave member 61 is provided , end points ( r rests ) of the r - shaped cutting blades 32 b each have an edge ( angle ) 64 formed thereon . when the edge 64 is formed thereon , an appropriate bottom face machining roughness cannot be achieved . in other words , the edges 64 result in traces of processing remaining on the raw material after the processing has been completed . in order to prevent this from happening , it is desirable to provide on the end cutting blade 32 a plane portion 62 connected to the r - shaped cutting blades 32 b . the plane portion 62 extends along a direction perpendicular to the axial direction of the tool 30 . with such a configuration , since the r - shaped cutting blades 32 b smoothly connect to the plane portion 62 , the edges 64 are not formed . consequently , an appropriate bottom face machining roughness can be achieved ( i . e ., the traces of processing can be suppressed ). moreover , providing the plane portion 62 on the radius end mill 30 causes the plane portions 62 to form a plane face perpendicular to the axial direction on the raw material . as a result , the plane portions 62 levels the material while the cutting progresses ; this also suppresses the traces of processing . [ 0078 ] fig2 shows a schematic view of a design shape ( the shape aimed for ) and an actual processing shape ( the shape that is actually formed as a result of processing ) of raw material processed by means of a bowl end mill 90 . end cutting blade portions of the bowl end mill 90 have a slow peripheral speed . as a result , as shown on the left side of fig2 , if the bowl end mill 90 performs processing by being deployed in a direction perpendicular to its axial direction , the raw material is chipped by the end cutting blades , and the actual processing shape is formed instead of the intended design shape . when the raw material is processed using the side faces of the cutting blades of the bowl end mill 90 ( the right side of fig2 ), the recess of the cutting blades resulting from the movement of the bowl end mill 90 causes the actual processing shape to be formed instead of the intended design shape . [ 0080 ] fig2 shows a schematic view of a design shape ( the shape aimed for ) and an actual processing shape ( the shape that is actually formed as a result of processing ) of raw material processed by means of a radius end mill 30 . the diameter of the radius end mill 30 is the same as the above - mentioned bowl end mill 90 . as shown on the left side of fig2 , when the radius end mill 30 performs processing by being deployed in a direction perpendicular to its axial direction , the radius end mill 30 , unlike the bowl end mill 90 , performs the machining by means of the r - shaped blades 32 b and the end cutting blades 32 c , these having a fast peripheral speed . as a consequence , unlike the case with the bowl end mill 90 , the material does not get chipped , and the actual processing shape corresponds to the intended design shape . when the radius end mill 30 is deployed in its axial direction and the raw material is processed by means of the side cutting blades 32 a ( the right side of fig2 ), the recess of the cutting blades resulting from the movement of the radius end mill 30 causes the actual processing shape to be different from the intended design shape . consequently , when the position of bowl end mill 90 relative to the raw material is to be corrected so as to account for the difference between the actual processing shape and the intended design shape , both the chipping of the raw material due to the end cutting blades and the movement of the blades must be taken into account . by contrast , using the radius end mill 30 requires only that the recess of the blades is taken into account . as a result , using the radius end mill 30 rather than the bowl end mill 90 allows the nc construction device to store a simpler program relating to the process . as described earlier , a radius of the radius end mill and a radius of the bowl end mill is probably the same in the cases where the corner r member has the same radius . if a thick radius end mill is used , the movement of the cutting blade is small , and this further simplifies the program which sets the tool path . a specific example of an embodiment of the present invention is presented above , but this merely illustrates some possibilities of the invention and does not restrict the claims thereof . the art set forth in the claims includes variations , transformations and modifications to the specific example set forth above . furthermore , the technical elements disclosed in the present specification or figures may be utilized separately or in all types of conjunctions and are not limited to the conjunctions set forth in the claims at the time of submission of the application . furthermore , the art disclosed in the present specification or figures may be utilized to simultaneously realize a plurality of aims or to realize one of these aims .