n-Geometry

Geometry of iterative n-Points/n-Lines/n-Gons

Geometric Entities in an n-Element Framework

n-POINT	n-ANGLE
nP-1	notes on nP-Objects
	Level-up-constructions
nP-n-Luc-1	nP-Level-up Constructions
nP-n-Luc1	nP-Mean Vector Point




	Points
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
nP-n-L1	nP-MVP-Eulerline
nP-n-L2	nP-LSD-Line








	Transformations
nP-n-Tf1	nP-CC Moebius Conjugate
nP-n-Tf2	nP-Linear Pole




	* ODD ITEMS *
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



	* EVEN ITEMS *
nP-e-Tf1	nP-Pedal Point
nP-e-Tf2	nP-AntiPedal Point

n-LINE	n-LATERAL
nL-1	notes on nL-Objects
	Level-up-constructions
nL-n-Luc-1	nL-Level-up Constructions
nL-n-Luc1	nL-Level-up Constr. Type 1
nL-n-Luc2	nL-Level-up Constr. Type 2
nL-n-Luc3	nL-Level-up Constr. Type 3
nL-n-Luc4	nL-Level-up Constr. Type 4
nL-n-Luc5	nL-Level-up Constr. Type 5
	Points
nL-n-P1	nL-Centric Focus
nL-n-P2	nL-Morley’s Centroid
nL-n-P3	nL-Morley’s Circumcenter
nL-n-P4	nL-Morley’s 2^nd Orthocenter
nL-n-P5	nL-Morley’s 2^nd Circle Center
nL-n-P6	nL-Least Squared Distances Point
nL-n-P7	nL-Hervey Point
nL-n-P8	nL-MVP Centroid
nL-n-P9	nL-MVP Circumcenter
nL-n-P10	nL-MVP Orthocenter
nL-n-P11	nL-MVP Nine-point Center
nL-n-P12	nL-QL-P4 Par1/Par2-Hom.Center
nL-n-P13	nL-QL-P28 Par1/Par2-Hom.Center
nL-n-P14	nL-QL-P29 Par1/Par2-Hom.Center
nL-n-pi	nL-Morley’s recursive pi points
nL-n-gi	nL-Morley’s recursive gi points
	Lines
nL-n-L1	nL-Morley’s Eulerline
nL-n-L2	nL-MVP Eulerline
nL-n-iL1	nL-Morley’s Axes
	Circles
nL-n-Ci1	nL-Center Circle
nL-n-Ci2	nL-Second Circle
	Curves
nL-n-Cv1	nL-Morley’s Mono EnnaCardioid
nL-n-iCv1	nL-Morley’s Multiple EnnaCardioids
nL-n-Cv2	nL-Morley’s Limacon
	Transformations
nL-n-Tf1	nL-Orthopole
nL-n-Tf2	nL-Orthopolar
nL-n-Tf3	nL-2^nd Generation nL-Orthopole
nL-n-Tf4	nL-2^nd Generation nL-Orthopolar
nL-n-Tf5	nL-Linear Polar

	* ODD ITEMS *
nL-o-P1	nL-Morley’s 1^st Orthocenter
nL-o-P2	nL-Clifford’s Circle Center
nL-o-L1	nL-Line Inscr. EnnaDeltoidCenters
nL-o-L2	nL-Morley’s Line of Orthocenters
nL-o-Ci1	nL-Clifford’s Circle
nL-o-2L1	nL-Orthogonal Ortho Axes

	* EVEN ITEMS *
nL-e-P1	nL-Morley’s EnnaDeltoid Center
nL-e-P2	nL-Clifford’s Point
nL-e-L1	nL-Morley’s Ortho Directrix
nL-e-L2	nL-Morley’s Alt. Iine of Orthocenters
nL-e-Cv1	nL-Morley’s Inscribed EnnaDeltoid

n-GON	n-GON
nG-1	Notes on the n-Gon
nG-n-iRg1	Petr-Douglas-Neumann-n-Gons
nG-n-L1	nG-Centroids Line

Naming Convention Note:

Items labeled with nP-n-, nL-n-, or nG-n- represent constructs valid for all values of n = 3, 4, 5, and higher.
Items labeled with nP-o-, nL-o-, or nG-o- apply only to odd values of n = 3, 5, 7, and higher.
Items labeled with nP-e-, nL-e-, or nG-e- apply only to even values of n = 4, 6, 8, and higher.

Example interpretations:
nP-n-P1 → 3P-n-P1, 4P-n-P1, 5P-n-P1, …
nP-o-P1 → 3P-o-P1, 5P-o-P1, 7P-o-P1, …
nP-e-P1 → 4P-e-P1, 6P-e-P1, 8P-e-P1, …

Prefix Meaning	Applicable n-values	Specific Instances
`nP-n-`, `nL-n-`, `nG-n-`	All n ≥ 3	`3P-n-`, `4P-n-`, `5P-n-*`, …
`nP-o-`, `nL-o-`, `nG-o-`	Odd n ≥ 3	`3P-o-`, `5P-o-`, `7P-o-*`, …
`nP-e-`, `nL-e-`, `nG-e-`	Even n ≥ 4	`4P-e-`, `6P-e-`, `8P-e-*`, …

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