%% pprcuts.txt %% Created by Laurence D. Finston Sat Jan 1 20:34:49 CET 2011 %%%% $Id: pprcuts.txt,v 1.15 2022/12/16 14:05:13 lfinsto1 Exp $ %% * (1) Copyright and License. %%%% This file is part of GNU 3DLDF, a package for three-dimensional drawing. %%%% Copyright (C) 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023 The Free Software Foundation, Inc. %%%% GNU 3DLDF 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 of the License, or %%%% (at your option) any later version. %%%% GNU 3DLDF 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 GNU 3DLDF; if not, write to the Free Software %%%% Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA %%%% GNU 3DLDF is a GNU package. %%%% It is part of the GNU Project of the %%%% Free Software Foundation %%%% and is published under the GNU General Public License. %%%% See the website http://www.gnu.org %%%% for more information. %%%% GNU 3DLDF is available for downloading from %%%% http://www.gnu.org/software/3dldf/LDF.html. %%%% Please send bug reports to Laurence.Finston@gmx.de %%%% The mailing list help-3dldf@gnu.org is available for people to %%%% ask other users for help. %%%% The mailing list info-3dldf@gnu.org is for sending %%%% announcements to users. To subscribe to these mailing lists, send an %%%% email with ``subscribe '' as the subject. %%%% The author can be contacted at: %%%% Laurence D. Finston %%%% c/o Free Software Foundation, Inc. %%%% 51 Franklin St, Fifth Floor %%%% Boston, MA 02110-1301 %%%% USA %%%% Laurence.Finston@gmx.de %% * (1) \input epsf \nopagenumbers %% Uncomment for A4 portrait \special{papersize=210mm, 297mm} \hsize=210mm \vsize=297mm \parindent=0pt \def\epsfsize#1#2{#1} \font\small=cmr8 \font\smalltt=cmtt8 \font\large=cmr12 \font\largebx=cmbx12 %% \font\Largebx=cmbx17 \advance\voffset by -1in \advance\voffset by 2cm \advance\hoffset by -1in \advance\hoffset by 2cm %% *** (3) Title page \pageno=-1 \begingroup \hsize=19cm %\pageno=0 \vskip1cm \centerline{Papercut Patterns} \vskip\baselineskip \centerline{Laurence D. Finston} \vskip\baselineskip \centerline{Created: January 1, 2011} \vskip\baselineskip \centerline{\hskip 1cm Last updated: January 5, 2011} \vskip0cm % {\small \hsize=.75\hsize %\hskip1cm \vbox{\vskip2\baselineskip This document is part of GNU 3DLDF, a package for three-dimensional drawing. \vskip\baselineskip !Copyright (C) 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023 The Free Software Foundation, Inc. \vskip\baselineskip GNU 3DLDF 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 of the License, or (at your option) any later version. \vskip\baselineskip GNU 3DLDF 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. \vskip\baselineskip You should have received a copy of the GNU General Public License along with GNU 3DLDF; if not, write to the Free Software Foundation, Inc.,\hfil\break 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA \vskip\baselineskip See the GNU Free Documentation License for the copying conditions that apply to this document. \vskip\baselineskip You should have received a copy of the GNU Free Documentation License along with GNU 3DLDF; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA \vskip\baselineskip The mailing list {\smalltt info-3dldf@gnu.org} is for sending announcements to users. To subscribe to this mailing list, send an email with ``subscribe $\langle$email-address$\rangle$'' as the subject. \vskip\baselineskip The webpages for GNU 3DLDF are here: {\smalltt http://www.gnu.org/software/3dldf/LDF.html} \vskip\baselineskip The author can be contacted at:\vskip\baselineskip Laurence D. Finston\hfil\break c/o Free Software Foundation, Inc.\hfil\break 51 Franklin St, Fifth Floor \hfil\break Boston, MA 02110-1301 \hfil\break USA \vskip.5\baselineskip Email: {\smalltt Laurence.Finston@gmx.de}\hfil\break GNU 3DLDF website: {\smalltt http://www.gnu.org/software/3dldf/LDF.html}}} \vskip1cm \par \endgroup \vfil\eject %% *** (3) \pageno=1 \headline={Papercut Patterns\quad % !Copyright {\copyright} 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023 The Free Software Foundation, Inc.\hskip2em % \folio\hskip2em Author: Laurence D. Finston\hfil} \begingroup \advance\hsize by -4cm \parskip=\baselineskip \centerline{{\largebx Papercut Patterns}} The technical drawings in this document can be used for creating papercut or works of art of a similar nature. They are meant for patterns with multiple lines of symmetry, such as papercuts made by folding and cutting patterns into two or more layers of the paper. Half of the drawings contain a circle divided into sections by two polygons, $p_1$ and $p_2$, where $p_2$ has twice as many sides as $p_1$. Put another way, the lines of $p_2$ divide each triangular section of $p_1$ into halves. The other half of the drawings contains one or more separate sections from the ``polygon-circle'' on the previous page. These sections can be used for creating patterns, which can then be transferred to the drawing with the entire ``polygon-circle''. The dashed grey lines can be used for aligning them with the corresponding lines on the drawing of the polygon-circle. %% !! START HERE: I need to add more sections and arrange them on the page. %% LDF 2011.01.02. More than one section can fit on a single page, but it requires some fiddling to get this right. As of this date (January 5, 2011), the author has only done this for the 5-gon/10-gon, 7-gon/14-gon and 9-gon/18-gon sections. \par \endgroup \vfil\eject %% *** (3) \parindent=0pt \advance\hoffset by -.5cm %% *** (3) 3-gon Circle \vbox to \vsize{% \line{\hskip-.5cm \epsffile{pprcut01.3}\hss} \vss} \vfil\eject %% *** (3) 3-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 3-gon/6-gon}} \vskip2cm \line{\hskip-.5cm \epsffile{pprcut01.103}\hss} \vss} \vfil\eject %% *** (3) 4-gon Circle \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.4}\hss} \vss} \vfil\eject %% *** (3) 4-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 4-gon/8-gon}} %\vskip-.875cm \vskip1.5cm \line{\hskip-.5cm \epsffile{pprcut01.104}\hss} \vss} \vfil\eject %% *** (3) 5-gon Circle \vbox to \vsize{% \line{\hskip-1.5cm\epsffile{pprcut01.5}\hss} \vss} \vfil\eject %% *** (3) 5-gon Sections \vbox to \vsize{% \centerline{\hskip-1cm{\largebx Section 5-gon/10-gon}} \vskip1.5cm \line{\epsffile{pprcut01.105}\hss} \vss} \vfil\eject %% *** (3) 6-gon Circle \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.6}\hss} \vss} \vfil\eject %% *** (3) 6-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 6-gon/12-gon}} \vskip1.5cm \line{\epsffile{pprcut01.106}\hss} \vss} \vfil\eject %% *** (3) 7-gon Circle \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.7}\hss} \vss} \vfil\eject %% *** (3) 7-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 7-gon/14-gon}} \vskip.5cm \line{\epsffile{pprcut01.107}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.8}\hss} \vss} \vfil\eject %% *** (3) 8-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 8-gon/16-gon}} \vskip1.5cm \line{\epsffile{pprcut01.108}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.9}\hss} \vss} \vfil\eject %% *** (3) 9-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 9-gon/18-gon}} \vskip.5cm \line{\epsffile{pprcut01.109}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.10}\hss} \vss} \vfil\eject %% *** (3) 10-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 10-gon/20-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.110}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.11}\hss} \vss} \vfil\eject %% *** (3) 11-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 11-gon/22-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.111}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.12}\hss} \vss} \vfil\eject %% *** (3) 12-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 12-gon/24-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.112}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.13}\hss} \vss} \vfil\eject %% *** (3) 13-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 13-gon/26-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.113}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.14}\hss} \vss} \vfil\eject %% *** (3) 14-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 14-gon/28-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.114}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.15}\hss} \vss} \vfil\eject %% *** (3) 15-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 15-gon/30-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.115}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.16}\hss} \vss} \vfil\eject %% *** (3) 16-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 16-gon/32-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.116}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.17}\hss} \vss} \vfil\eject %% *** (3) 17-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 17-gon/34-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.117}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.18}\hss} \vss} \vfil\eject %% *** (3) 18-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 18-gon/36-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.118}\hss} \vss} \vfil\eject %% *** (3) \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.19}\hss} \vss} \vfil\eject %% *** (3) 19-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 19-gon/38-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.119}\hss} \vss} \vfil\eject %% *** (3) 20-gon Circle \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.20}\hss} \vss} \vfil\eject %% *** (3) 20-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 20-gon/40-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.120}\hss} \vss} \vfil\eject %% *** (3) 21-gon Circle \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.21}\hss} \vss} \vfil\eject %% *** (3) 21-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 21-gon/42-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.121}\hss} \vss} \vfil\eject %% *** (3) 22-gon Circle \vbox to \vsize{% \line{\hskip-2cm \epsffile{pprcut01.22}\hss} \vss} \vfil\eject %% *** (3) 22-gon Sections \vbox to \vsize{% \centerline{\hskip-2cm{\largebx Section 22-gon/44-gon}} \vskip1.5cm \line{ \epsffile{pprcut01.122}\hss} \vss} \vfil\eject %% * (1) \bye