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PENTAGON

 

inscribed radius 

       (1+)/4            1              /(2)

superscribed radius  

       1                   -1           /

height                    

       (5+)/4                        /2

side                  

                  2       1

break     

       (3+)/4           -2    

height/side

       /2  

area/5             

       /4                  /4

area

area in square sides

                                            ()/4

 

                                                                            

DODECAHEDRON

 

edge length

                 1                2

inscribed radius

        1                  /2  /

center of edge radius

                  (3+ )/4      

superscribed radius 

                 /2      1

pentagon height

                 /2        /

pentagon area 

                           ()/4                                                     

surface area

       30       3

volume

       10      

                                                                         

 

ICOSAHEDRON

 

edge length

                   1                 

inscribed radius

       1                    /2      

center of edge radius

                  /2     

superscribed radius

                  /(2)     1

triangle height

      3           /2             

surface area

      30(7-3)           5              2(5-)

volume

      10(7-3)