Geometric Dissections
History
- 10th January 2025 - Added book improvement pages:
- 8th January 2025 - Added second dissection of {4} to {8/3}.
- 6th January 2025 - Extended the bibliography.
- 3rd January 2025 - Replaced dissection of {6/2} to {12/2}.
- 2nd January 2025 - Added variable tessellations page.
- 27th December 2024 - Added english language selection.
- 26th December 2024 - Improved display of strips.
- 23rd December 2024 - Added tessellations from strips page.
- 19th December 2024 - Added completed tessellations page.
- 18th December 2024 - Added anchor points to T strip overlays.
- 16th December 2024 - Replaced dissection of {6} to {9}.
- 13th December 2024 - Added dissection of {4} to {24/2}.
- 10th December 2024 - Improved dissection of {4} to {16/2}.
- 9th December 2024
- 8th December 2024 - Improved dissection of {5/2} to {8/2}.
- 6th December 2024
- 5th December 2024
- 4th December 2024 - Added dissection of {R√2} to {12/3}.
- 27th November 2024 - Added dissection of {10} to {12/3}.
- 26th November 2024 - Added dissection of {8/3} to {12/3}.
- 25th November 2024
- 24th November 2024 - Added dissection of {5} to {12/3}.
- 23rd November 2024
- 22nd November 2024 - Improved dissection of {6} to {12/3}.
- 21st November 2024 - Added new method pages.
- 20th November 2024
- 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 dissection of {3} to {8/2}.
- 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
- 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
- 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
- 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}.
- 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}.
- 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
- 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
- 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.
- Added dissections of {G} to two {G}s and {L} to two {L}s.
- Added dissection of {6} to {9/3}.
- 28th December 2010
- Added dissection of {7} to {7/3}.
- Added dissection of {9/2} to {9/4}.
- 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.
- 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.