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; Copyright 2019, 2020 Kevin Ryde
;
; This file is part of Math-PlanePath.
;
; Math-PlanePath is free software; you can redistribute it and/or modify it
; under the terms of the GNU General Public License as published by the Free
; Software Foundation; either version 3, or (at your option) any later
; version.
;
; Math-PlanePath is distributed in the hope that it will be useful, but
; WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
; or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
; for more details.
;
; You should have received a copy of the GNU General Public License along
; with Math-PlanePath. If not, see <http://www.gnu.org/licenses/>.
; from http://mathworld.wolfram.com/HilbertCurve.html
PeanoMathworld {
Angle 4 ; 90 degrees
Axiom X
X = XFYFX+F+YFXFY-F-XFYFX
Y = YFXFY-F-XFYFX+F+YFXFY
}
PeanoDiagonal3 {
Angle 4 ; 90 degrees
Axiom FX
X = X-FY+FX++
Y = Y+FX-FY++
}
PeanoDiagonal3f {
Angle 4 ; 45 degrees
Axiom FX
X = Y+FX-FY ; to be applied an even number of times
Y = X-FY+FX
}
PeanoDiagonal3fr {
Angle 8 ; 45 degrees
Axiom FX
X = Y+F+FX-F-FY ; to be applied an even number of times
Y = X-F-FY+F+FX
}
; cf
; /usr/share/xfractint/lsystem/fractint.l
; Peano1
; Segment replacement in the manner of Mandelbrot, which is
; Peano's unit square shape, but not Peano's form as it doesn't
; transpose alternate segments.
; Peano2
; Sierpinski curve.
; Peano3
; Peano S shape midpoints.
; Local variables:
; compile-command: "xfractint type=lsystem lfile=peano.l lname=PeanoDiagonal3 params=4"
; End:
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