CL=cut length if polygon side is 1
2 pieces	3 pieces	4 pieces	T5 2008 5 pieces	6 pieces
T2	T3	T4
CL=0.6734+	CL=0.8660+	CL=1.3051+	CL=1.5803+	CL=1.7321+
	S4
S2 1			S5	S6 2008
CL=1.0000	CL=1.6233+	CL=1.9755+	CL=2.5021+	CL=2.9399+
	P3	P4	P5	P6
CL=1.4310+	CL=2.1587+	CL=2.8340+	CL=3.3383+	CL=3.7420+
H2	H3	H4	H5	H6
CL=1.7321+	CL=2.5981+	CL=3.4641+	CL=4.3301+	CL=4.9137+
Hp4 Hp6 Hp3 Hp2 Hp5
CL=1.8351+	CL=3.1828+	CL=4.1800+	CL=5.1985+	CL=5.7635+
Principles for constructing equal area dissections with minimal cut length   ° straight lines or circle arcs   ° vertices with only 3 edges   ° equal angle vertices, 120°   ° joining border with right angle   ° Laplace rule: sum of signed curvatures at vertex is zero		I got very valuable hints from Warren D. Smith, 13.8.2007. The findings can nicely be verified with soap bubbles with well defined confinement and monolayers. See one picture for S6 from J.Reber.
			Warren D. Smith
	Zoomable pictures in pdf
Competitors:	Download of postscript pictures 15KB
T5b	T5c	T5d arcs
CL=1.6166+	?	CL=1.6145+	CL=1.3817+	CL=1.6037+
	P2b	P4a	P3a	S4a
CL=1.3422+	CL=1.5388+	CL=2.8485+	CL=2.2057+	CL=2.4192+
T4c Hall	P4c	P4b	P4e	S6a
CL=1.3173+	?	CL=2.9699+	CL=2.8587+	CL=2.9484+
P5a	P5b	P5c	P2a	S6b
CL=3.4410+	CL=3.5337+	CL=3.3892+	CL=1.4553+	CL=3.0000
	H5a	H5b	H6b	S6c
CL=2.9942+	CL=4.3541+	CL=4.3808+	?	?
H6a	H6d	H7a	H4a	Hp4a
CL=5.1962+	CL=5.1962+	CL=5.1962+	CL=3.7321+	CL=4.2201+
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