QL-P18: Reflection of QL-P8 in QL-P12


QL-P18 is the Reflection of QL-P8 in QL-P12.

Special about this point is that it lies on QL-L9, the M3D Line.

Infovisual QL-P18-infovisual-cvt-01.png
1st CT-coordinate

l3 (m – n)2 (m + n) – 2 l2 (m2 – n2)2 – 2 m2 n2 (m2 – m n + n2) + l m n (m + n) (4 m2 – 7 m n + 4 n2)

1st DT-coordinate

(m2-n2) (l2 (l2+m2+n2) – 3 m2n2)

Properties
  • QL-P18 lies on these lines:
  • The 3 QA-versions of QL-P18 are collinear (note Eckart Schmidt).
  • QL-P18 is the centroid of the three collinear points QG-P15 on QL-L9 (Eckart Schmidt, October 9, 2013). See [34], QFG # 286 and # 357.



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