Geometric Dissections
Author : Gavin Theobald
20th November 2024 - Added four way dissection of {3} to {4} to {6} to {8}.
20th November 2024 - Improved four way dissection of {3} to {4} to {8} to {6/2}.
18th November 2024 - Improved dissection of {4} to {84}.
16th November 2024 - Improved dissection of {4} to {56}.
14th November 2024 - Improved dissection of {4} to {48}.
13th November 2024 - Improved dissection of {4} to {60}.
21st October 2024 - Replaced {3} to {8/2} dissection page.
18th October 2024 - Added {10} to n×{10} dissection page.
16th October 2024 - Added dissection of {6} to 9×{3}.
15th October 2024 - Added {6} to n×{6} dissection page.
16th September 2024 - Replaced dissection of {6} to 2×{6}.
10th January 2024 - Added {3} to n×{3} and
{6} to n×{3} dissection pages.
19th December 2023 - Added dissection of {6} to {7/2}.
13th December 2023 - Improved dissection of {4} to {9/2}.
11th December 2023 - Improved dissection of {10} to {8/2}.
4th December 2023 - Improved dissection of {8/2} to {10/2}.
30th November 2023 - Improved dissection of {6} to {8/2}.
29th November 2023 - Improved dissections of {8/2} to {7},
{6/2},
{8/3} and
{L}.
2nd October 2023 - Improved dissection of {R×} to {7/2}.
29th September 2023 - Added optimised rectangle dissection page.
4th July 2023 - Replaced dissection of {4} to {7/2}.
22nd March 2019 - Added dissections of {20} to 2×{20} and
{24} to 2×{24}.
19th March 2019 - Improved dissection of {4} to {23}.
18th March 2019 - Improved dissection of {4} to {29}.
15th March 2019 - Added hole dissection of [4] to [13].
14th March 2019 - Added hole dissections of [4] to [11] and
[4] to [20].
9th March 2019 - Improved dissection of {4} to {27}.
9th March 2019 - Added hole dissection of [4] to [10/2].
8th March 2019 - Improved dissection of {4} to {25}.
6th march 2019 - Added hole dissections of [4] to [7/3] and
[4] to [10/3].
5th March 2019 - Added hole dissections of [4] to [16] and
[4] to [18].
4th March 2019 - Added hole dissection of [4] to [14].
1st March 2019 - Improved dissection of {8/2} to {8/3}.
22nd February 2019 - Added hole dissection of [4] to [9/3].
19th February 2019 - Added hole dissections of [3] to [8/2] and
[6] to [8/2].
18th February 2019 - Improved dissection of {R2} to {8/2}.
18th February 2019 - Improved dissection of {4} to 2×{12/3}.
14th February 2019 - Improved dissection of {4} to {12/3}.
27th January 2019 - Added hole dissection of [5/2] to [6/2] to [8/3].
9th January 2019 - Added hole dissections of [4] to [10/4] and
[4] to [12/5].
8th January 2019 - Added hole dissections of [4] to [G] and
[4] to [L].
7th January 2019 - Added hole dissection of [4] to [6] to [8] to [10] to [12].
29th January 2019 - Added a multiple hole dissection page.
9th January 2019 - Added many more hole dissections.
31st December 2018 - Added more hole dissections.
26th December 2018 - Added hole dissections.
30th November 2018 - Modified dissection of {6} to {14}.
29th November 2018 - Added dissection of {6} to {9/2}.
2nd November 2018 - Improved dissection of {6} to {14}.
25th October 2018 - Added colour option for some dissections.
24th October 2018 - Improved dissections of {6} to {12/3}.
19th October 2018 - Added dissection of {6} to {12/3}.
11th October 2018 - Replaced dissection of {6} to {11}.
8th October 2018 - Added dissection of {6} to {20}.
5th October 2018 - Added dissections of {3} to {20} and
{5} to {20}.
3rd October 2018 - Added dissection of {6} to {16}.
2nd October 2018 - Added dissections of {3} to {16} and
{5} to {16}.
1st October 2018 - Improved dissection of {5} to {14}.
30th September 2018 - Improved dissection of {3} to {14}.
20th September 2018 - Added dissection of {6} to {14}.
15th September 2018 - Added hexagon series page.
23rd August 2018 - Added dissection of {9} to {18/2}.
19th August 2018 - Added dissection of {9} to {R2}.
17th August 2018 - Added dissection of {9} to {R√2}.
3rd August 2018 - Added dissection of {4} to {100}.
29th July 2018 - Added dissection of {4} to {90}.
28th July 2018 - Added dissection of {4} to {80}.
27th July 2018 - Added dissection of {4} to {70}.
30th March 2018 - Improved dissection of {4} to {46}.
23rd March 2018 - Improved dissections of {4} to {50} and
{4} to {60}.
22nd March 2018 - Improved dissections of {4} to {48} and
{4} to {56}.
20th March 2018 - Improved dissections of {4} to {52} and
{4} to {54}.
19th March 2018 - Improved dissections of {4} to {44} and
{4} to {58}.
17th March 2018 - Improved dissection of {4} to {42}.
15th March 2018 - Replaced dissection of {4} to {36}.
14th March 2018 - Improved dissection of {4} to {34}.
13th March 2018 - Replaced dissection of {4} to {36}.
13th March 2018 - Improved dissection of {4} to {40}.
10th March 2018 - Improved dissections of {4} to {36} and
{4} to {38}.
9th March 2018 - Improved dissection of {4} to {34}.
8th March 2018 - Improved dissection of {4} to {32}.
7th March 2018 - Improved dissection of {4} to {30}.
2nd March 2018 - Improved dissections of {4} to {18},
{4} to {26} and
{4} to {28}.
9th February 2018 - Improved dissections of {4} to {46} and {4} to {60}.
9th February 2018 - Added dissection of {4} to {58}.
8th February 2018 - Added dissection of {4} to {56}.
7th February 2018 - Improved dissection of {4} to {50}.
7th February 2018 - Added dissection of {4} to {52}.
6th February 2018 - Improved dissection of {4} to {54}.
5th February 2018 - Improved dissection of {4} to {48}.
4th February 2018 - Replaced dissection of {4} to {46}.
3rd February 2018 - Added dissections of {4} to {42}, {4} to {50} and {4} to {60}.
3rd February 2018 - Replaced dissections of {4} to {18} and
{4} to {20}.
2nd February 2018 - Improved dissections of {4} to {54}.
1st February 2018 - Improved dissections of {4} to {44} and {4} to {48}.
27th January 2018 - Added dissections of silver rectangle and domino.
22nd January 2018 - Added dissection of {4} to {48}.
18th January 2018 - Added dissection of {4} to {29}.
17th January 2018 - Added dissection of {4} to {46}.
16th January 2018 - Added dissection of {4} to {44}.
15th January 2018 - Added dissection of {4} to {27}.
14th January 2018 - Improved dissection of {4} to {18}.
12th January 2018 - Improved dissections of {4} to {14} and
{4} to {16}.
12th January 2018 - Added dissection of {4} to {42}.
11th January 2018 - Replaced dissections of {4} to {20},
{4} to {22} and
{4} to {24}.
10th January 2018 - Added dissections of {4} to {38} and {4} to {40}.
9th January 2018 - Added dissections of {4} to {23} and
{4} to {25}.
4th January 2018 - Improved dissection of {4} to {21}.
3rd January 2018 - Improved dissection of {4} to {18}.
2nd January 2018 - Improved dissection of {4} to {24}.
1st January 2018 - Replaced dissections of {4} to {18} and {4} to {24}.
30th December 2017 - Improved dissections of {4} to {30}, {4} to {32}, {4} to {34} and {4} to {36}.
29th December 2017 - Improved dissections of {4} to {26} and {4} to {28}.
28th December 2017 - Improved dissection of {4} to {22}.
27th December 2017 - Improved dissection of {4} to {20}.
3rd December 2017 - Improved dissection of {4} to {22}.
2nd December 2017 - Replaced dissection of {4} to {18}.
10th November 2017 - Updated the bibliography to include Frederickson’s new book.
11th May 2017 - Added another dissection of {4} to augmented square.
9th May 2017 - Added more dissections of {4} to truncated and augmented squares.
28th April 2017 - Added dissections of {4} to truncated and augmented squares.
28th April 2017 - Added yet more spherical dissections.
14th April 2017 - Added more spherical dissections.
13th April 2017 - Added stereographic views of spherical dissections.
11th April 2017 - Added yet more spherical dissections.
9th April 2017 - Added more spherical dissections.
7th April 2017 - Added new spherical dissections.
6th March 2017 - Several new surface dissections.
19th December 2016 - Added dissections of {4} to {32} and {34}.
11th December 2016 - Improved dissection of {4} to {30}.
8th December 2016 - Improved dissection of {4} to {28}.
5th December 2016 - Improved dissection of {4} to {26}.
2nd December 2016 - Improved dissection of {4} to {19}.
30th November 2016 - Improved dissection of {4} to {22}.
28th November 2016 - Improved dissection of {4} to {24}.
26th November 2016 - Improved dissection of {4} to {20}.
18th November 2016 - Added dissection of {4} to two {10/4}s.
17th November 2016 - Added dissection of {4} to crescent.
16th November 2016 - Added dissection of {4} to two {M}s.
15th November 2016 - Added dissection of {4} to {M}.
14th November 2016 - Added dissection of {4} to two {12/3}s.
2nd January 2016 - Added solid dissection of rhombic triacontahedron to cube.
13th December 2015 - Improved dissection of {6/2} to {10/2}.
26th December 2014 - Added solid dissection of stellated rhombic dodecahedron to rhombic dodecahedron.
24th December 2014 - Added solid dissection of stellated rhombic dodecahedron to cube.
29th November 2014 - Added dissection of {3} to {4} to {6} to {12}.
11th November 2014 - Added dissection of {3} to {7} to {6/2}.
8th November 2014 - Added dissection of {3} to {4} to {6} to {6/2}.
7th November 2014 - Improved dissection of {3} to {6} to {6/2}.
22nd February 2014 - Improved dissection of {6} to {10/2}.
20th February 2014 - Improved dissection of {7} to {10/2}.
1st February 2014 - Improved dissection of {8} to {10/2}.
January 2014 - Added new dissections of {4} to polygon and polygram.
7th January 2014 - Improved dissection of {4} to {5} to {8}.
2nd January 2014 - Improved dissection of {6} to {8}.
15th December 2012 - Added dissection of {L} to {Lc}.
14th December 2012 - Improved dissection of {4} to two {Gc}s.
10th December 2012 - Improved dissection of {L} to {8/2}.
9th December 2012 - Added dissection of {4} to two {Lc}s.
7th December 2012 - Added dissection of {4} to two {Gc}s.
6th December 2012 - Added dissection of {6} to {8}.
5th December 2012 - Added dissection of {3} to {8}.
1st December 2012 - Added triangle series dissection page.
23rd November 2012 - Improved dissection of {4} to {4}+{8}+{12}+{16}.
21st November 2012 - Replaced dissections of {8} to {G} and {8} to {L}.
20th November 2012 - Improved dissections of {4} to {3}+{4}+{5}+{6}+{7}+{8} and {4}+{5}+{6}+{7}+{8}.
19th November 2012 - Improved dissections of {4} to {3}+{8}, {4}+{8}, {6}+{8}, {8}+{10} and {8}+{12}.
18th November 2012 - Replaced dissection of {4} to two {8}s.
8th October 2012 - Added dissections of {8}, {8/2} and {G} to {12/3}.
22th April 2012 - Added dissections of {9} to {10/2}.
20th April 2012 - Added dissections of {10/2} to {12/2}.
19th April 2012 - Added dissections of {8/2} to {10/2}.
10th April 2012 - Added dissections of {5/2} to {10/2}.
9th April 2012 - Added dissections of {8/3}, {Rϕ}, {G} and {L} to {10/2}.
6th April 2012 - Added dissections of {12} and {6/2} to {10/2}.
5th April 2012 - Added dissection of {7} to {10/2}.
4th April 2012 - Added dissection of {8} to {10/2}.
30th March 2012 - Added dissection of {6} to {10/2}.
28th March 2012 - Improved dissection of {3} to {10/2}.
28th October 2011 - Improved dissection of {4} to {6}+{8}+{10}+{12}.
17th October 2011 - Improved dissection of {4} to two {11}s.
15th October 2011 - Added dissection of {4} to {4}+{8}+{12}+{16}.
14th October 2011 - Added dissections of {4} to {6}..{12}.
10th October 2011 - Added dissection of {4} to {4}+{7}+{10}.
8th October 2011 - Added sqaure series dissection page.
9th July 2011 - Improved dissection of {10} to {12/2}.
1st July 2011 - Improved dissection of {10} to {10/2}.
30th April 2011 - Added dissection of {5} to {14}.
14th April 2011 - Added dissection of {5} to {15}.
13th April 2011 - Added dissection of {5} to {13}.
8th February 2011 - Improved dissection of {4} to {5} to {6}.
5th February 2011 - Improved dissections of {4} to {6} to {8} and {4} to {6} to {6/2}.
1st January 2011 - Added dissections of {4} to {12/3} and {4} to {12/4}.
30th December 2010 - Added dissections of {4} to two {Rϕ}s and {Rϕ} to two {Rϕ}s.
29th December 2010 - Added dissections of {4} to two {G}s and {4} to two {L}s.
29th December 2010 - Added dissections of {G} to two {G}s and {L} to two {L}s.
29th December 2010 - Added dissection of {6} to {9/3}.
28th December 2010 - Added dissection of {7} to {7/3}.
28th December 2010 - Added dissection of {9/2} to {9/4}.
28th December 2010 - Added dissections of {10/3} to {10/4}, {14/2} to {14/5} and {14/4} to {14/6}.
10th December 2010 - Added four way dissection of {3} to {4} to {8} to {6/2}.
29th October 2010 - Improved dissection of {8} to {G}.
28th October 2010 - Added dissection of {7} to {14/2}.
23rd October 2010 - Improved dissection of {12} to {12/2}.
19th October 2010 - Added dissection of {8} to {16/2}.
12th October 2010 - Added dissection of {12} to {12/5}.
9th October 2010 - Improved dissection of {12} to {12/3}.
20th September 2010 - Added three way dissection of {3} to {6} to {8}.
19th September 2010 - Added three way dissection of {4} to {5} to {6/2}.
17th September 2010 - Added three way dissection of {3} to {6} to {12}.
16th September 2010 - Added three way dissection of {6} to {12} to {6/2}.
15th September 2010 - Added three way dissection of {4} to {5} to {12}.
14th September 2010 - Added three way dissection of {4} to {5} to {8}.
13th September 2010 - Added three way dissection of {4} to {8} to {6/2}.
11th September 2010 - Added dissection of {16} to two {16}s.
10th September 2010 - Added dissections of {n} to two {n}s.
9th September 2010 - Added dissections of {n} to {2n} and {m} to {m/n}.
8th September 2010 - Added dissection of {7} to two {7}s.
7th September 2010 - Added dissections of {9} to two {9}s and {11} to two {11}s.
3rd September 2010 - Added dissection of {7} to {7/2}.
2nd September 2010 - Added dissection of {4} to two {11}s.
28th August 2010 - Improved dissection of {4} to two {9}s.
27th August 2010 - Added dissections of {12/3} to two {12/3}s and {12/4} to two {12/4}s.
25th August 2010 - Improved dissection of {4} to two {8/2}s.
21st August 2010 - Improved dissection of {4} to two {12/2}s.
21st August 2010 - Added more pdf versions of dissections.
8th August 2010 - Improved dissection of {5} to {12/2}.
5th August 2010 - Added dissection of {12/2} to two {12/2}s.
4th August 2010 - Improved dissection of {8/3} to {12/2}.
3rd August 2010 - Added dissection of {5} to {10/2}.
31st July 2010 - Improved dissection of {4} to {10/3}.
8th September 2009 - Improved dissection of octagonal prism to cube.
5th May 2009 - Improved dissection of {6} to {11}.
25th April 2009 - Added dissection of {8} to {11}.
11th March 2009 - Added dissection of {11} to {6/2}.
28th February 2009 - Added dissection of {11} to {L}.
16th February 2009 - Added dissection of {7} to {11}.
31st January 2009 - Added dissection of {4} to two {12/2}s.
22nd January 2009 - Added golden rectangle dissections.
15th January 2009 - Added latin cross dissections.
31st December 2008 - Added greek cross dissections.
19th October 2008 - Added dissection of triangular prism to cube.
13th October 2008 - Added dissections of heptagonal and octagonal prisms to cube.
1st March 2008 - Added dissection of {9} to {8/2}.
23rd February 2008 - Corrected dissection of rhombic dodecahedron to cube.
22nd October 2007 - Added dissection of pentagonal prism to cube.
16th October 2007 - Improved dissection of rhombic dodecahedron to cube.
14th October 2007 - Improved dissection of truncated octahedron to cube.
11th October 2007 - Added dissection of hexagonal prism to cube.
15th September 2007 - Added more three way dissections.
7th July 2007 - Started adding three way dissections.
3rd July 2007 - Replaced dissection of {6} to {12/2}.
26th June 2007 - Replaced dissection of {4} to {18}.
18th June 2007 - Added dissection of {10} to {8/2}.
15th June 2007 - Improved dissection of {3} to {8/2}.
13th June 2007 - Added dissection of {7} to {8/2}.
11th June 2007 - Added dissection of {10} to {12/2}.
10th June 2007 - Added dissection of {9} to {12/2}.
5th June 2007 - Replaced dissection of {4} to two {5}s and {4} to two {6}s. Added dissection of {5/2} to {8/2}.
1st June 2007 - Added dissection of {8/3} to {12/2}.
31st May 2007 - Added dissection of {4} to two {8/2}s.
29th May 2007 - Added dissection of {5} to {12/2}.
25th May 2007 - Added dissection of {8/2} to {8/3}.
24th May 2007 - Added dissection of {8/2} to {12/2}.
21st May 2007 - Added dissection of {5/2} to {12/2}.
12th May 2007 - Added dissections of {5} to {8/2}, {8} to {12/2} and {12} to {12/2}.
8th May 2007 - Added dissection of {8} to {8/2}.
7th May 2007 - Added dissection of {7} to {12/2}.
5th May 2007 - Added dissection of {6/2} to {8/2}.
1st May 2007 - Replaced dissection of {6} to {12} with new version. Added dissection of {6} to {8/2}.
23rd April 2007 - Added dissection of {12} to {8/2}.
21st April 2007 - Added dissections of {6/2} to two {6/2}s and of {3} to {8/2}.
24th March 2007 - Added two to one dissections.
22nd March 2007 - Added dissection of {4} to latin cross. Improved dissection of latin cross to curved greek cross.
18th March 2007 - Improved dissection of {4} to curved greek cross.
14th March 2007 - Added dissection of {6} to {18}.
10th March 2007 - Added dissection of {3} to {14} and improved dissection of {6} to {6/2}.
5th November 2006 - Added dissection of {3} to {7/3}.
29th October 2006 - Replaced dissection of {4} to {21} with cleaner solution.
27th October 2006 - Added dissection of {3} to {13}.
25th October 2006 - Corrected mistake in solution of {3} to {11}. Added dissection of {3} to {10/3}.
5th October 2006 - Replaced dissection of {6} to {10} with different solution.
6th September 2006 - Added dissection of {4} to {28}.
5th August 2006 - Added dissection of {4} to {26}.
4th August 2006 - Improved dissection of {4} to {22}.
2nd August 2006 - Improved dissection of {4} to {11} and {4} to {54}. New dissections of {3}, {5} and {6} to {11} and of {4} to {22}.
28th May 2006 - Improved dissection of {4} to {21}.
24th March 2006 - Added dissection of {4} to two {6/2}s.
23rd March 2006 - Added dissection of {4} to two {8/3}s.
22nd March 2006 - Replaced dissection of {7} to {10} with cleaner solution.
21st March 2006 - Improved dissection of {4} to two {7}s.
11th February 2006 - Added dissection of {4} to two {9}s.
31st January 2006 - Added dissection of {4} to two {5/2}s.
12th January 2006 - Improved dissections of {5} to {8} and {7} to {8}.
2nd January 2006 - Added dissections of square to two polygons.
1st January 2006 - Added surface dissections.
5th December 2005 - Further updates to methods.
1st December 2005 - Updated description of the PT2 method.
25th November 2005 - Updated methods.
23th November 2005 - Added methods.
25th October 2005 - Improved dissection of {4} to {36}.
24th October 2005 - Improved dissections of {4} to {19} and {36}.
25th August 2005 - Further improvement of {4} to {30}.
19th August 2005 - Improved dissection of {4} to {30}.
17th August 2005 - Improved dissection of {4} to {36}.
13th August 2005 - Added new dissection of {4} to {36}.
10th August 2005 - Added new dissection of {4} to {30}.
18th June 2005 - Added new dissection of {4} to {9/4}.
30th May 2005 - Added new dissection of {4} to {7/2}.
27th May 2005 - Added new dissections of {4} to {10/2}.
22th May 2005 - Added new dissection of {4} to {7/2}.
12th May 2005 - Added new dissection of {4} to {7/3}.
11th May 2005 - Added new dissection of {4} to {10/3}.
9th May 2005 - Added new dissection of {4} to {9/3}.
6th May 2005 - Improved dissections of {4} to {11}.
5th May 2005 - Added improved dissections of {4} to {13} and {12/2}.
29th April 2005 - Added new dissection of {4} to {9}.
31st January 2005 - Improved dissection of {4} to {10/2}.
28th December 2004 - Added dissection of {4} to {10/2}.
24th December 2004 - Added dissection of {4} to {9/2}.
22nd December 2004 - Added dissection of {4} to {7/2}.
24th August 2004 - Added new dissection of {4} to {12/2} that does not require any pieces to be turned over.
30th April 2004 - Added dissection of {3} to {10/4}.
8th April 2004 - Major update. Added a number of new dissections. Added display of overlays.
26th March 2004 - Added a number of new dissections.
24th March 2004 - Added dissection of {5} to {10}.
17th March 2004 - Added large images.
15th March 2004 - Added dissections of {6} to {10} and {8/3}.
23rd Febuary 2004 - Added improved dissections of {9} and removed SVG index.
23rd January 2004 - Added dissections of {4} to {19} and {21}.
19th December 2003 - Improved dissection of {4} to {54}.
16th December 2003 - Improved dissection of {4} to {18}.
12th December 2003 - Improved dissections of {4} to {15} and {17}. Added solid dissections (HTML only).
26th September 2003 - Moved site to btconnect.
19th September 2003 - Added dissections of {4} to {n} for n>10.
6th January 2002 - Added dissection of {4} to {14} in 10 pieces.
17th August 2001 - Added solid dissections (SVG only).
6th July 2001 - First version.