{"id":2536,"date":"2024-01-18T14:47:45","date_gmt":"2024-01-18T14:47:45","guid":{"rendered":"https:\/\/ludicumnew.org\/?p=2536"},"modified":"2024-07-02T21:25:26","modified_gmt":"2024-07-02T21:25:26","slug":"rmc-iv","status":"publish","type":"post","link":"https:\/\/ludicum.org\/en\/rmc-iv\/","title":{"rendered":"RMC IV 2015"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; make_equal=&#8221;on&#8221; use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; specialty=&#8221;on&#8221; background_color_2=&#8221;gcid-e428b4a0-8f75-478b-bc91-d4c919946667&#8243; padding_top_1=&#8221;0px&#8221; padding_top_2=&#8221;20px&#8221; padding_right_1=&#8221;0px&#8221; padding_right_2=&#8221;15px&#8221; padding_bottom_1=&#8221;0px&#8221; padding_bottom_2=&#8221;40px&#8221; padding_left_1=&#8221;0px&#8221; padding_left_2=&#8221;15px&#8221; padding_top_bottom_link_1=&#8221;false&#8221; padding_top_bottom_link_2=&#8221;false&#8221; padding_left_right_link_1=&#8221;false&#8221; padding_left_right_link_2=&#8221;false&#8221; _builder_version=&#8221;4.25.2&#8243; _module_preset=&#8221;default&#8221; width=&#8221;100%&#8221; max_width=&#8221;100%&#8221; inner_width=&#8221;100%&#8221; inner_max_width=&#8221;100%&#8221; custom_margin=&#8221;0px|0px|0px|0px|false|false&#8221; custom_padding=&#8221;0px|0px|0px|0px|false|false&#8221; border_width_top=&#8221;7px&#8221; border_color_top=&#8221;gcid-e428b4a0-8f75-478b-bc91-d4c919946667&#8243; locked=&#8221;off&#8221; global_colors_info=&#8221;{%22gcid-e428b4a0-8f75-478b-bc91-d4c919946667%22:%91%22border_color_top%22,%22background_color_2%22%93}&#8221;][et_pb_column type=&#8221;3_4&#8243; specialty_columns=&#8221;3&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_row_inner use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; make_equal=&#8221;on&#8221; _builder_version=&#8221;4.25.2&#8243; _module_preset=&#8221;default&#8221; width=&#8221;100%&#8221; max_width=&#8221;100%&#8221; custom_margin=&#8221;0px|0px|0px|0px|false|false&#8221; custom_padding=&#8221;40px|40px|10px|40px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column_inner saved_specialty_column_type=&#8221;3_4&#8243; _builder_version=&#8221;4.25.2&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;0px|0px|0px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_heading title=&#8221;Recreational Mathematics Colloquium IV&#8221; _builder_version=&#8221;4.25.2&#8243; _module_preset=&#8221;default&#8221; title_text_color=&#8221;#f29062&#8243; title_font_size=&#8221;22px&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_heading][et_pb_text _builder_version=&#8221;4.25.2&#8243; _module_preset=&#8221;default&#8221; text_orientation=&#8221;justified&#8221; custom_margin=&#8221;20px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p>&#8220;Recreational Mathematics&#8221; is a problematic expression. For some people, like most professional mathematicians, Mathematics is lots of fun; but for others, like some students, Mathematics can be a nightmare.<\/p>\n<p>Historically, we know that some mathematical research areas are deeply linked to puzzles and games : probability and chance games, graph theory and the Brigdes of K\u00f6nigsberg come to mind.<\/p>\n<p><a href=\"http:\/\/ludicum.org\/\" target=\"_blank\" rel=\"noopener\">Ludus Association<\/a>, the<span>\u00a0<\/span><a href=\"http:\/\/www.spm.pt\/\" target=\"_blank\" rel=\"noopener\">Portuguese Mathematical Society<\/a>, \u00a0<a href=\"http:\/\/chcul.fc.ul.pt\/\" target=\"_blank\" rel=\"noopener\"><span>Centro Interuniversit\u00e1rio de Hist\u00f3ria das Ci\u00eancias e da Tecnologia (CIUHCT)<\/span><\/a>, and\u00a0<a href=\"https:\/\/www.cienciaviva.pt\/\" target=\"_blank\" rel=\"noopener\">Ci\u00eancia Viva<\/a><span>\u00a0<\/span>will organize the Recreational Mathematics Colloquium IV.<\/p>\n<p><a class=\"external-link\" href=\"http:\/\/www.museus.ulisboa.pt\/\" target=\"_blank\" rel=\"noopener\">Museu Nacional de Hist\u00f3ria Natural e da Ci\u00eancia<\/a><span>\u00a0<\/span>will be our host.<\/p>\n<p>Our Colloquium will be a Show and Tell of bright pearls of Mathematics, with varied levels of sophistication, entertaining many audiences. Its main goal is to foster mathematical appreciation, an important step if we are to see improvements in the future generations.<\/p>\n<p>[\/et_pb_text][et_pb_tabs _builder_version=&#8221;4.25.2&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;20px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_tab title=&#8221;Organization&#8221; _builder_version=&#8221;4.24.0&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h3>Scientific Committee<\/h3>\n<ul type=\"square\">\n<li>Alda Carvalho, Portugal<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/www.wisdom.weizmann.ac.il\/~fraenkel\/\" target=\"_blank\" rel=\"noopener\">Aviezri Fraenkel<\/a>, Israel<\/li>\n<li>Carlos Pereira dos Santos, Portugal<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/www.solipsys.co.uk\/new\/ColinWright.html\" target=\"_blank\" rel=\"noopener\">Colin Wright<\/a>, UK<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/en.wikipedia.org\/wiki\/David_Singmaster\" target=\"_blank\" rel=\"noopener\">David Singmaster<\/a>, UK<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/sites.google.com\/site\/henriqueleitaosite\/\" target=\"_blank\" rel=\"noopener\">Henrique Leit\u00e3o,<\/a><span>\u00a0<\/span>Portugal<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/www.di.fc.ul.pt\/~jpn\/\" target=\"_blank\" rel=\"noopener\">Jo\u00e3o Pedro Neto<\/a>, Portugal<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/jnsilva.ludicum.org\/\" target=\"_blank\" rel=\"noopener\">Jorge Nuno Silva<\/a>, Portugal<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/www.mscs.dal.ca\/~rjn\/Home.html\" target=\"_blank\" rel=\"noopener\">Richard Nowakowski<\/a>, Canada<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/users.mct.open.ac.uk\/rjw22\/\" target=\"_blank\" rel=\"noopener\">Robin Wilson<\/a>, UK<\/li>\n<li>Thane Plambeck, USA<\/li>\n<\/ul>\n<ul type=\"square\"><\/ul>\n<h3>Organizing Committee<\/h3>\n<ul type=\"square\">\n<li>Alda Carvalho, Portugal<\/li>\n<li><a href=\"mailto:teixeiraanabela@gmail.com\" target=\"_blank\" rel=\"noopener\">Anabela Teixeira<\/a>, Portugal<\/li>\n<li><a href=\"mailto:pjfreitas@gmail.com\" target=\"_blank\" rel=\"noopener\">Pedro Jorge Freitas<\/a>, Portugal<\/li>\n<li><a class=\"external-link\" href=\"https:\/\/sites.google.com\/site\/cpshomepage\/principal\/home\" target=\"_blank\" rel=\"noopener\">Carlos Pereira dos Santos<\/a>, Portugal<\/li>\n<li><a class=\"external-link\" href=\"http:\/\/jnsilva.ludicum.org\/\" target=\"_blank\" rel=\"noopener\">Jorge Nuno Silva<\/a>, Portugal<\/li>\n<li><a href=\"mailto:xztiago@gmail.com\" target=\"_blank\" rel=\"noopener\">Tiago Hirth<\/a>, Portugal<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_tab][et_pb_tab title=&#8221;Program&#8221; _builder_version=&#8221;4.24.0&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p><strong>Saturday, 24<sup>th<\/sup><span>\u00a0<\/span>January<\/strong><br \/><span class=\"visualHighlight\"><\/span><\/p>\n<p>9:30 \u2013<span>\u00a0<\/span><span class=\"visualHighlight\">Opening Session<\/span><\/p>\n<p>10:00 \u2013 Mathemagic<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Jos\u00e9 Paulo Viana, Escola Secund\u00e1ria de Verg\u00edlio Ferreira<\/p>\n<p>10:30 \u2013 Meno&#8217;s slave, Lichtenberg, and bees don&#8217;t need formulas!<br \/>Carlos Pereira dos Santos, CEAFEL, Alda Carvalho, ISEL, Jorge Nuno Silva, CIUHCT-UL<\/p>\n<p>11:00 \u2013 Coffee-Break<\/p>\n<p>11:30 \u2013 Early topological puzzles<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 David Singmaster, London South Bank University<\/p>\n<p>12:00 \u2013 The History of Mathematics in the classroom \u2013 a recreational approach<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 Helder Pinto, CIDMA &#8211; University of Aveiro<\/p>\n<p>12:30 \u2013 Cards with memory<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ricardo Lopes &amp; Carolina Martins, Students, University of Lisbon<\/p>\n<p>12:45 \u2013 Speedcubing: taking the Rubik&#8217;s cube to the next level<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Vasco Vasconcelos, Student, ULisboa<\/p>\n<p>13:00 \u2013 Break for lunch<\/p>\n<p>14:30 \u2013 Planets, solids, curves, and myths\u00a0\u00a0<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Carlota Sim\u00f5es, University of Coimbra<\/p>\n<p>15:00 \u2013 On the relative value of chess pieces and their combinations<br \/>Pedro Palhares, CIEC, Institute of Education, University of Minho<\/p>\n<p>15:30 \u2013 The recreational Gerdes<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Jorge Nuno Silva, CIUHCT-UL<\/p>\n<p>16:00 \u2013 Coffee-Break<\/p>\n<p>16:30 \u2013 The games tree and arborescence<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ilda Perez, ULisboa<\/p>\n<p>17:00 \u2013 Mathematics of deaf young children<br \/>Laura Nunes, DMCE, CED Jacob Rodrigues Pereira \\ Casa Pia de Lisboa<\/p>\n<p><span>Carlos Pereira dos Santos, CEAFEL, Alda Carvalho, ISEL, Jorge Nuno Silva, CIUHCT-UL<\/span><\/p>\n<p>17:15 \u2013 Latin Erdos, a mathematical app<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span>\u00a0<\/span><span>F\u00e1bio Rito,<\/span><span>ULisboa,<\/span><span>\u00a0Bruno Fernandes,\u00a0<\/span><span>ULisboa,\u00a0<\/span><span>Jorge Nuno Silva CIUHCT-UL<\/span><\/p>\n<p>17:30 \u2013 Knight&#8217;s tours and its history<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Joaquim Eurico Nogueira, New University of Lisbon<\/p>\n<p>18:00 \u2013<span>\u00a0<\/span><span class=\"visualHighlight\">Welcome Cocktail<\/span><\/p>\n<p><strong>Sunday, 25<sup>th<\/sup><span>\u00a0<\/span>January<\/strong><\/p>\n<p>9:30 \u2013\u00a0Digital clock festival<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Aviezri S Fraenkel, Weizmann Institute of Science<\/p>\n<p>10:00 \u2013 Kindergarten activities for early mathematics<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ricardo Teixeira, University of Azores, Carlos Pereira dos Santos, CEAFEL<\/p>\n<p>10:30 \u2013 Edwinn Abbott Abbott and the fourth-dimensional world<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Tereza B\u00e1rtlov\u00e1, Charles University<\/p>\n<p>11:00 \u2013 Coffee-Break<\/p>\n<p>11:30 \u2013 An interesting flipping puzzle<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Colin Wright, Liverpool Mathematical Society<\/p>\n<p>12:00 \u2013 Hands-on symmetry<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Andreia Hall, University of Aveiro<\/p>\n<p>12:30 \u2013 When in Lisbon, look at the pavement!<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Alda Carvalho, ISEL, Carlos P. Santos, CEAFEL<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ricardo Teixeira, UA, Jorge Nuno Silva, CIUHCT-UL<\/p>\n<p>13:00 \u2013 Break for lunch<\/p>\n<p><span class=\"visualHighlight\">Open Show<\/span><\/p>\n<p><span class=\"visualHighlight\">16:00 &#8211; C\u00edrculo M\u00e1gico de Lisboa<\/span><\/p>\n<p><span class=\"visualHighlight\">17:10 &#8211; Mathematical Circus &#8211; Open Show<\/span><\/p>\n<p><strong>Monday, 26th January<\/strong><\/p>\n<p>09:30 \u2013 Street Maths: What\u2019s the chance of that?<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Steve Humble, Newcastle University<\/p>\n<p>10:00 \u2013\u00a0 Raising public awareness of Mathematics: outreach@EMS<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Jorge Buescu, ULisboa<\/p>\n<p>10:30 \u2013 Bold play and timid play with multiple payoffs<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Cristina Serpa, ULisboa, Jorge Buescu, ULisboa<\/p>\n<p>11:00 \u2013 Coffee-Break<\/p>\n<p>11:30 \u2013 Unusual problems that can be solved using chess pieces and a chessboard<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Yossi Elran, Weizmann Institute of Science<\/p>\n<p>12:00 \u2013<span>\u00a0<\/span><span class=\"il\">Atractor<\/span>&#8216;s software for mathematics &#8211; AtrMini and GeCla<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ana Cristina Oliveira,<span>\u00a0<\/span><span class=\"il\">Atractor<\/span><\/p>\n<p>13:00 \u2013 Break for lunch<\/p>\n<p>16:00 \u2013<span>\u00a0<\/span><span class=\"visualHighlight\">Social Program<\/span><span>\u00a0<\/span>(Downtown Lisboa)<\/p>\n<p>20:00 \u2013<span>\u00a0<\/span><span class=\"visualHighlight\">Conference Dinner<\/span><\/p>\n<p><strong>Tuesday, 27th January<\/strong><\/p>\n<p>09:30 \u2013 Sudokus for mathematicians<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ant\u00f3nio Machiavelo, University of Porto<\/p>\n<p>10:00 \u2013 Mathematical glazed tiles (azulejos) in Portugal<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Henrique Leit\u00e3o, CIUHCT-UL, Samuel Guessner, CIUHCT-UL<\/p>\n<p>10:30 \u2013 Why can&#8217;t we visualize beyond three dimensions?<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rog\u00e9rio Martins, New University of Lisbon<\/p>\n<p>11:00 \u2013 Coffee-Break<\/p>\n<p>11:30 \u2013 The mathematical problems of Almada Negreiros<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Pedro Freitas, ULisboa<\/p>\n<p>12:00 \u2013 Right angle proof + Negative prices in supermarkets<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Adam Atkinson<\/p>\n<p>12:30 \u2013 A look at<span>\u00a0<\/span><i>De Viribus Quantitatis<\/i><span>\u00a0<\/span>and it&#8217;s author Luca Pacioli<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Tiago Hirth, MUHNAC<\/p>\n<p>13:00 \u2013 Break for lunch<\/p>\n<p>14:30 \u2013 Mathematics in the making<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Maria do C\u00e9u Soares, NUL, Maria de F\u00e1tima Rodrigues, NUL<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Gracinda Guerreiro, NUL, Nelson Chibeles, NUL, Susana Baptista, NUL<\/p>\n<p>15:00 \u2013 2-player Tower of Hanoi<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Urban Larsson, Dalhousie University<\/p>\n<p>15:30 \u2013 Mathematics and fiber arts: knitting, crochet and cross-stitch<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Maria do Carmo Martins, University of Azores<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Helena Sousa, University of Azores, Sandra Vinagre, University of Evora<\/p>\n<p>16:00 \u2013 Coffee-Break<\/p>\n<p>16:30 \u2013 Portuguese Mathematical Olympiads<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Alexander Kovacec, University of Coimbra<\/p>\n<p>17:00 \u2013 Where mathematics ends<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Fernando Lima, C\u00edrculo M\u00e1gico de Lisboa<\/p>\n<p>17:15 \u2013 Ideal, a new abstract game for three players<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Bernardo Fernandes (Student), ULisboa, Hugo Almeida (Student), ULisboa,<br \/>_\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Jorge Mendon\u00e7a (Student), ULisboa<\/p>\n<p>17:30 \u2013\u00a0<span class=\"visualHighlight\">Closing Session<\/span><\/p>\n<p>[\/et_pb_tab][\/et_pb_tabs][\/et_pb_column_inner][\/et_pb_row_inner][et_pb_row_inner column_structure=&#8221;1_2,1_2&#8243; use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; 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_module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_heading title=&#8221;related publications&#8221; _builder_version=&#8221;4.24.0&#8243; _module_preset=&#8221;default&#8221; title_level=&#8221;h4&#8243; custom_margin=&#8221;40px||||false|false&#8221; custom_padding=&#8221;||0px|||&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_heading][et_pb_text _builder_version=&#8221;4.25.2&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;20px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h5 id=\"title\" class=\"a-spacing-none a-text-normal\"><span id=\"productTitle\" class=\"a-size-extra-large celwidget\" data-csa-c-id=\"dmpmzz-ja68pk-l40wpd-25o99g\" data-cel-widget=\"productTitle\">RECREATIONAL MATHEMATICS COLLOQUIUM IV: Gathering for Gardner EUROPE<\/span><\/h5>\n<div id=\"bookDescription_feature_div\" class=\"celwidget\" data-feature-name=\"bookDescription\" data-csa-c-type=\"widget\" data-csa-c-content-id=\"bookDescription\" data-csa-c-slot-id=\"bookDescription_feature_div\" data-csa-c-asin=\"9899950602\" data-csa-c-is-in-initial-active-row=\"false\" data-csa-c-id=\"axtqt2-1o63nr-hnz0ec-o3umn7\" data-cel-widget=\"bookDescription_feature_div\">\n<div data-a-expander-name=\"book_description_expander\" data-a-expander-collapsed-height=\"280\" class=\"a-expander-collapsed-height a-row a-expander-container a-spacing-base a-expander-partial-collapse-container\">\n<div aria-expanded=\"false\" class=\"a-expander-content a-expander-partial-collapse-content\"><span>Some papers presented at the Recreational Mathematics meeting which took place in Lisbon in 2015.<\/span><\/div>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_button button_url=&#8221;https:\/\/www.amazon.com\/Recreational-Mathematics-Colloquium-Iv-Gathering\/dp\/9899950602\/&#8221; url_new_window=&#8221;on&#8221; button_text=&#8221;Buy Publication&#8221; button_alignment=&#8221;left&#8221; _builder_version=&#8221;4.25.2&#8243; 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bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3972 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xxiii-paris-2021\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XXIII Paris 2021<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3971\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3971 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-athens-2018\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XXI Athens 2018<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3970\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3970 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xviii-la-tour-de-peilz-2015\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XVIII La Tour-de-Peilz 2015<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3969\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3969 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xvi-ponta-delgada-2013\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XVI Ponta Delgada 2013<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3968\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3968 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xv-munich-2012\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XV Munich 2012<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3967\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3967 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xiv-bruges-2011\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XIV Bruges 2011<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3966\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3966 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xiii-paris-2010\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XIII Paris 2010<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3965\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3965 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xii-jerusalem-2009\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XII Jerusalem 2009<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3964\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3964 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-xi-lisbon-2008\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC XI Lisbon 2008<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3963\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3963 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/bgsc-iv-fribourg-2001\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">BGSC IV Fribourg 2001<\/span><\/a><\/li>\n\t\t<\/ul>\n<\/li>\n\t\t<li id=\"menu-item-4687\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-has-children bellows-menu-item-4687 bellows-item-level-2\"><a  href=\"https:\/\/ludicum.org\/en\/combinatorial-game-theory-colloquia\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">CGTC<\/span><button class=\"bellows-subtoggle\" aria-label=\"Toggle Submenu\"><i class=\"bellows-subtoggle-icon-expand fa fa-chevron-down\"><\/i><i class=\"bellows-subtoggle-icon-collapse fa fa-chevron-up\"><\/i><\/button><\/a>\n\t\t<ul class=\"bellows-submenu\">\n\t\t\t<li id=\"menu-item-7359\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-7359 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/cgtc-vi\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">CGTC VI<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-6243\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-6243 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/cgtc-v\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">CGTC V<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-4686\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-4686 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/cgtc-iv\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">CGTC IV<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-4685\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-4685 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/cgtc-iii\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">CGTC III<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-4684\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-4684 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/cgtc-ii\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">CGTC II<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-4683\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-4683 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/cgtc-i\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">CGTC I<\/span><\/a><\/li>\n\t\t<\/ul>\n<\/li>\n\t\t<li id=\"menu-item-4998\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-has-children bellows-menu-item-4998 bellows-item-level-2\"><a  href=\"https:\/\/ludicum.org\/en\/rmc\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC<\/span><button class=\"bellows-subtoggle\" aria-label=\"Toggle Submenu\"><i class=\"bellows-subtoggle-icon-expand fa fa-chevron-down\"><\/i><i class=\"bellows-subtoggle-icon-collapse fa fa-chevron-up\"><\/i><\/button><\/a>\n\t\t<ul class=\"bellows-submenu\">\n\t\t\t<li id=\"menu-item-7526\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-7526 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-ix-2027\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC IX 2027<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-4841\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-4841 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-viii-2025\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC VIII 2025<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3983\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3983 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-vii-2023\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC VII 2023<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3982\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3982 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-vi-2019\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC VI 2019<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3981\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3981 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-v-2017\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC V 2017<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3980\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3980 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-iv\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC IV 2015<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3979\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3979 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-iii\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC III 2013<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3978\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3978 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/rmc-i\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">RMC I 2009<\/span><\/a><\/li>\n\t\t<\/ul>\n<\/li>\n\t<\/ul>\n<\/li>\n\t<li id=\"menu-item-4682\" class=\"bellows-menu-item bellows-menu-item-type-custom bellows-menu-item-object-custom bellows-menu-item-has-children bellows-menu-item-4682 bellows-item-level-1\"><a  href=\"#\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">Outros Eventos<\/span><button class=\"bellows-subtoggle\" aria-label=\"Toggle Submenu\"><i class=\"bellows-subtoggle-icon-expand fa fa-chevron-down\"><\/i><i class=\"bellows-subtoggle-icon-collapse fa fa-chevron-up\"><\/i><\/button><\/a>\n\t<ul class=\"bellows-submenu\">\n\t\t<li id=\"menu-item-5069\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-has-children bellows-menu-item-5069 bellows-item-level-2\"><a  href=\"https:\/\/ludicum.org\/en\/jornadas\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">Jornadas<\/span><button class=\"bellows-subtoggle\" aria-label=\"Toggle Submenu\"><i class=\"bellows-subtoggle-icon-expand fa fa-chevron-down\"><\/i><i class=\"bellows-subtoggle-icon-collapse fa fa-chevron-up\"><\/i><\/button><\/a>\n\t\t<ul class=\"bellows-submenu\">\n\t\t\t<li id=\"menu-item-3976\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3976 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/jornadas-historia-dos-jogos-em-portugal-iv\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">Jornadas Hist\u00f3ria dos Jogos em Portugal IV<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3975\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3975 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/jornadas-historia-dos-jogos-em-portugal-iii\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">Jornadas Hist\u00f3ria dos Jogos em Portugal III<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3974\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3974 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/jornadas-historia-dos-jogos-em-portugal-ii\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">Jornadas Hist\u00f3ria dos Jogos em Portugal II<\/span><\/a><\/li>\n\t\t\t<li id=\"menu-item-3973\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3973 bellows-item-level-3\"><a  href=\"https:\/\/ludicum.org\/en\/2499-2\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">Jornadas Hist\u00f3ria dos Jogos em Portugal I<\/span><\/a><\/li>\n\t\t<\/ul>\n<\/li>\n\t\t<li id=\"menu-item-3977\" class=\"bellows-menu-item bellows-menu-item-type-post_type bellows-menu-item-object-post bellows-menu-item-3977 bellows-item-level-2\"><a  href=\"https:\/\/ludicum.org\/en\/masterclasses-2018\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">Masterclasses 2018<\/span><\/a><\/li>\n\t\t<li id=\"menu-item-6448\" class=\"bellows-menu-item bellows-menu-item-type-custom bellows-menu-item-object-custom bellows-menu-item-6448 bellows-item-level-2\"><a  href=\"https:\/\/esu10.sciencesconf.org\/\" class=\"bellows-target\"><span class=\"bellows-target-title bellows-target-text\">ESU 10<\/span><\/a><\/li>\n\t<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul><\/nav><\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;Recreational Mathematics&#8221; is a problematic expression. For some people, like most professional mathematicians, Mathematics is lots of fun; but for others, like some students, Mathematics can be a nightmare. Historically, we know that some mathematical research areas are deeply linked to puzzles and games : probability and chance games, graph theory and the Brigdes of [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":2535,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"1920","footnotes":""},"categories":[34],"tags":[35,38],"class_list":["post-2536","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-eventos","tag-eventos","tag-rmc","et-has-post-format-content","et_post_format-et-post-format-standard"],"acf":[],"_links":{"self":[{"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/posts\/2536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/comments?post=2536"}],"version-history":[{"count":0,"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/posts\/2536\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/media\/2535"}],"wp:attachment":[{"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/media?parent=2536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/categories?post=2536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ludicum.org\/en\/wp-json\/wp\/v2\/tags?post=2536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}