University:
Massachusetts Institute of Technology
Course:
4.105 | Geometric Disciplines and Architecture Skills: Reciprocal Methodologies
Academic year:

2022
Views:

92

Pages:

20
Author:

etatsalteresiis

Exercise 1 Plane Figures 1 Descriptive Geometry and Projection descriptive geometry and projection parallel orthographic projection with planes of projection normal to object edges parallel orthographic projection with planes of projection normal to object edges 2 Descriptive Geometry and Projection parallel orthographic projection with planes of projection plumb to one another, but not normal to all objects descriptive geometry and projection parallel orthographic projection with planes of projection plumb to one another, but not normal to all object edges 2 3 descriptive geometry and projection Descriptive Geometry and Projection parallel orthographic projection with planes of projection oblique to one another, parallel orthographic and oblique to most object edges projection with planes of projection oblique to one another, and oblique to most object edges 4 descriptive geometry and projection Descriptive Geometry and Projection conventions and termonology conventions and terminology vertical projection horizontal projection 5 arrange 4 trace points in vertical projection ARRANGE 4 TRACE POINTS IN VERTICAL PROJECTION 6 6 connectAND the EXTEND points and extend projector lines CONNECT THE POINTS PROJECTOR LINES projector lines are always perpendicular to the axis projector lines are always perpendicular to the axis 7 7 define a plane the horizontal trace DEFINE A PLANE THROUGH THE through HORIZONTAL TRACE any three non-colinear points define a plane any three non-colinear points define a plane 8 8 find fourth point using crossing lines FIND FOURTH POINT USING CROSSING LINES the ‘marionette’ method acts to ensure planarity of the surface through lines the “marionette” method acts to ensure planarity of the surface through lines inscribed on its face inscribed on its face 9 9 complete figure in PROJECTION horizontal projection COMPLETE FIGURE IN HORIZONTAL the composite of both projections now describe a unique plane figure; the next theshape composite step is to find the ‘true ’ of both projections now describes a unique plane figure; the next step is to find the “true shape” 10 10 inscribe a level line on the plane INSCRIBE A LEVEL LINE ON THE PLANE a level line is horizontal in the vertical projection; it traces the intersection of a level line is horizontal in the vertical projection; it traces the intersection of the oblique plane with a second horizontal plane the oblique plane with a second horizontal plane 11 11 find the level line in thePROJECTION horizontal projection FIND THE LEVEL LINE IN THE HORIZONTAL a projector line from l in the vertical projection meets l in the horizontal projection a projector line from l in the vertical projection meets l in the horizontal projection 12 12 establish a new vertical plane of projection ESTABLISH A NEW VERTICAL PLANE PROJECTION make this plane perpendicular to the level line in the horizontal projection make this plane perpendicular to the level line in the horizontal projection 13 13 transfer traces to new projection TRANSFER TRACES TO NEW PROJECTION use a divider to duplicate distances from the original vertical projection use a divider to duplicate distances from the original vertical projection 14 14 transferTRACES remaining traces to reveal view of plane TRANSFER REMAINING TO REVEAL EDGE VIEWedge OF PLANE by chosing a projection plane perpendicular to the level line, we have assured an edge view by choosing a projection plane perpendicular to the level line, we have assured an edge view 15 15 establish new plane of projection ESTABLISH A NEW PLANEaOF PROJECTION create an axis parallel to the edge view of the oblique plane create an axis parallel to the edge view of the oblique plane 16 16 transfer traces to new projection TRANSFER TRACES TO NEW PROJECTION PLANE plane again transfer measurements from the previous projection using a divider again transfer measurements from the previous projection using a divider 17 17 completed is theOF true of the oblique THE COMPLETEthe FIGURE IS THEfigure TRUE SHAPE THEshape OBLIQUE the true shape is the only cut piece that can be oriented to form the plane figure described the true shape is the only cut piece that can be oriented to form the plane figure described 18 18 repeat this for 3FACES adjoining faces REPEAT THIS PROCESS FOR process 3 ADJOINING start on one edge in the original projection, add 2 new traces, and describe a start on one edge in the original projection, add 2 new traces, and describe a new quadrilateral plane figure. new quadrilateral plane figure. repeat all processes necessary to fully define this second plane and find its true shape. repeat all processes necessary to fully define this second plane and find its true shape. add 2planes moretoquadrilateral the open vertices to close the overall figure. 2 more quadrilateral the open vertices toplanes close theto overall figure. add 19 19 build a model of the FORM completed form BUILD A MODEL OF THE COMPLETED using the true shapes of all 4 faces (copied, and scaled if necessary), construct using the the object from bristol board true shapes of all 4 faces (copied, and scaled if necessary), construct the object from bristol board make marking to indicate the orientation of the model in relation to the drawing. make markings to indicate the orientation of the model in relation to the drawing. 20 20

Step-by-step Tutorial on Descriptive Geometry and Projection

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