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R O O F S     solution :








in the top view we can see rays extending out from each corner of the roof in a 45 degree angle . In reality these rays are the slopes of the slanted roof . the longer the ray - the higher it lifts the roof .








in order to solve the roof - one has to : continue the two rays that come out of the two opposite corners of each line of the roof - until they meet each other and create a triangle . the larger this triangle is - the higher is the roof under it .






from the top of each triangle we draw straight lines which in reality are the horizontal ridges of the roof . the shorter the triangle is - the lower is the height of its ridge , and vice versa .






now we continue the rays from each corner of the roof until they connect to the ridges of the roof .






to complete the roof , we connect one ridge to the other with a 45 degree line .




A N O T H E R     W A Y :



- we know that the highest roof in reality will be represented in the top view by the largest rectangle .

- we have to look at the top view and find which is the largest rectangle there ( it never appears as a complete rectangle , and we must complete it in our imagination).

- once we have it - we solve it as if it is all by itself .

- then we solve the slopes and ridges of the lower roofs and connect them to the highest roof .

- at last we erase parts of the lines where the higher roof joins the lower one and becomes one plane .



O T H E R     R O OF S :



the roof on the house with the patio :


- in this kind of house it is important to understand that the horizontal ridge in each part of the house is allways in the middle of that roof .

- we start by drawing the ridges first , then we draw the 45 degree rays from each of the outside corners of the roof until they meet the ridges .

- the inside corners of the roof are to be connected with 45 degrees rays to the ridges closest to them ( which are the lower ridges ) , and from there they connect with 45 degree lines to the higher ridges .


the roof on the house connected to a flat wall :


- this kind of roof is solved by drawing first the horizontal ridge in the middle of the roof which starts from the flat wall . from here on we solve the rest of the roof as usuall .




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