+
We now draw a picture of the figure resulting from the simple case - presuming we lay the flat sheet on the x-y plane with one vertex at the origin and the 8 cm side along the x- and the 10 cm side along the y-axis. Pi' are the points in the flat sheet which we cut into and form the bottom vertices of the box and the Qi's are the resulting top vertices.

Input := 


P1 = {ae,ae,0}; P2 = {ae,10-ae,0}; 

P3 = {8-ae,10-ae,0}; P4 = {8-ae,ae,0};

Q1 = {ae-be,ae-be,Sqrt[ae^2 - be^2]}; 

Q2 = {ae-be,10-ae+be,Sqrt[ae^2 - be^2]};

Q3 = {8-ae+be,10-ae+be,Sqrt[ae^2 - be^2]};

Q4 = {8-ae+be,ae-be,Sqrt[ae^2 - be^2]}; 

Input := 


pics = Show[Graphics3D[{PointSize[.02], Point[P1], 

     Point[P2], Point[P3], Point[P4],Point[Q1], 

     Point[Q2], Point[Q3], Point[Q4], 

     Thickness[.01], Line[{P1,P2}], Line[{P2,P3}], 

     Line[{P3,P4}], Line[{P4,P1}], Line[{Q1,Q2}], 

     Line[{Q2,Q3}], Line[{Q3,Q4}], Line[{Q4,Q1}], 

     Line[{P1,Q1}], Line[{P2,Q2}], Line[{P3,Q3}], 

     Line[{P4,Q4}] }],Boxed->False]


General::spell1: 

   Possible spelling error: new symbol name "pics"

     is similar to existing symbol "picc".



;[o]

General::spell1: 

   Possible spelling error: new symbol name "pics"

     is similar to existing symbol "picc".

Output =


-Graphics3D-