■等面単体の体積(その287)

  (a−√(1/2))^2+b^2+(c−√(1/2))^2+(d−1)^2+(e−√3)^2=5

  (a−√2)^2+(b−√3)^2+c^2+d^2+e^2=5

  (a−√8)^2+b^2+c^2+d^2+e^2=8

  (a−√(9/2))^2+b^2+(c−√(9/2))^2+d^2+e^2=9

  (a−√2))^2+b^2+(c−√2))^2+(d−2)^2+e^2=8

[1]a=s/√2+√2,b=√3,c=s/√2,d=s,e=s√3

a=3/√2,b=√3,c=1/√2,d=1,e=√3のとき,NG

a=1/√2,b=√3,c=−1/√2,d=−1,e=−√3のとき,NG

[2]a=s/√2+√8,b=0,c=s/√2,d=s,e=s√3

a=5/√2,b=0,c=1/√2,d=1,e=√3のとき,NG

a=3/√2,b=0,c=−1/√2,d=−1,e=−√3のとき,NG

[3]a=s/√2+3/√2,b=0,c=s/√2+3/√2,d=s,e=s√3

a=4/√2,b=0,c=4/√2,d=1,e=√3のとき,NG

a=2/√2,b=0,c=2/√2,d=−1,e=−√3のとき,NG

  (a−√(1/2))^2+b^2+(c−√(1/2))^2+(d−1)^2+(e−√3)^2=5

  (a−√2)^2+(b−√3)^2+c^2+d^2+e^2=5

  (a−√8)^2+b^2+c^2+d^2+e^2=8

  (a−√(9/2))^2+b^2+(c−√(9/2))^2+d^2+e^2=9

  (a−√2))^2+b^2+(c−√2))^2+(d−2)^2+e^2=8

[4]a=s/√2+√2,b=0,c=s/√2+√2,d=s+2,e=s√3

a=3/√2,b=0,c=3/√2,d=3,e=√3のとき,NG

a=1/√2,b=0,c=1/√2,d=1,e=−√3のとき,NG

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