nP - OBJECTS  (Objects in an n-Angle)

Objects with n=natural number

n-Point (n-angle)
General Information
nP-1 Systematics for describing nP-Centers

Points/Centers in an n-Point
nP-n-P1 nP-MVP Centroid
nP-n-P2 nP-MVP Circumcenter
nP-n-P3 nP-MVP Orthocenter
nP-n-P4 nP-MVP Nine-point Center
nP-n-P5 nP-CC Moebius Center

Lines in an n-Point
nP-n-L1 nP-MVP-Eulerline
nP-n-L2 nP-LSD-Line

Transformations in an n-Point
nP-n-Tf1 nP-CC Moebius Conjugate
nP-n-Tf2 nP-Linear Pole

Level-up Constructions
nP-n-Luc1 nP-Mean Vector Point

Even Items in an n-Point
nP-e-Tf1 nP-Pedal Point
nP-e-Tf2 nP-AntiPedal Point

Odd Items in an n-Point
nP-o-Tf1 nP-Pedal Circle
nP-o-Tf2 nP-Pedal Circle Center
nP-o-Tf3 nP-AntiPedal Circle
nP-o-Tf4 nP-AntiPedal Circle Center

Ref-xx References


Objects with n=specific number

2P-s-iRg1 2P-Regular Lighthouse n-Gons

5-Point (Pentangle)
General Information
5P-1 Notes on the Pentangle

Points/Centers in a 5-Point
5P-s-P1 5P-Circumscribed Center
5P-s-P2 5P-Involutary Center
5P-s-P3 5P-Quang Duong's Point
5P-Keizer-Schmidt Center
5P-s-P5 5P-Schmidt Point
5P-s-P6 5P-Miquel Point
5P-s-2P1 5P-Involutary Double Point

Line in a 5-Point
5P-s-L1 5P-Schmidt Line

Conic in a 5-Point
5P-s-Co1 5P-Circumscribed Conic

Transformations in a 5-Point
5P-s-Tf1 5P-Line of Involution Centers
5P-s-Tf2 5P-Line of Involutary Conjugates
5P-s-Tf3 5P-Orthopole
5P-s-Tf4 5P-Orthopolar Line
5P-s-Tf5 5P-Conical Pole
5P-s-Tf6 5P-cb Conjugate
5P-s-Tf7 5P-Schmidt Transformation
5P-s-Tf8 5P-CSC Conjugate

6-Point (Hexangle)
Points/Centers in a 6-Point
6P-Schmidt Point
6P-Cayley Bacharach Point Circular Cubic

Circle in a 6-Point
6P-s-Ci1 6P-CSC Circle

Transformations in a 6-Point
6P-s-Tf1 6P-Schmidt Transformation
6P-s-Tf2 7th Point Tangent

7-Point (Heptangle)
Points/Centers in a 7-Point
7P-s-P1 7P-Schmidt Point / Focus Circular Cubic
7P-s-P2 CB-pivot of the 7P-Circular Cubic
7P-s-P3 7P-s-Cu1 Tangential of 7P-s-P2

Cubic in a 7-Point
7P-s-Cu1 7P-Circular Cubic

Transformation in a 7-Point
7P-s-Tf1 7P-CB Conjugate

8-Point (Octangle)
Points/Centers in an 8-Point
8P-s-P1 8P-Cayley-Bacharach Point

Transformation in a 8-Point
8P-s-Tf1 8P  9th Point Tangent

9-Point (Nonangle)
Cubic in a 9-Point
9P-s-Cu1 9P-Cubic

14-Point (Tetradecangle)
Quartic in a 14-Point
14P-s-Qu1 14P-Quartic