{"id":7164,"date":"2025-05-05T08:08:34","date_gmt":"2025-05-05T07:08:34","guid":{"rendered":"https:\/\/ludicum.org\/?p=7164"},"modified":"2025-05-14T14:54:27","modified_gmt":"2025-05-14T13:54:27","slug":"ascent","status":"publish","type":"post","link":"https:\/\/ludicum.org\/en\/ascent\/","title":{"rendered":"Ascent"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;0px|0px|0px|0px|false|false&#8221; custom_padding=&#8221;0px|0px|0px|0px|false|false&#8221; border_color_all=&#8221;gcid-primary-color&#8221; border_width_top=&#8221;5px&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{%22gcid-primary-color%22:%91%22border_color_all%22,%22border_color_top%22%93}&#8221;][et_pb_row column_structure=&#8221;3_4,1_4&#8243; use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; make_equal=&#8221;on&#8221; _builder_version=&#8221;4.27.4&#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;0px|0px|0px|0px|false|false&#8221; border_color_top=&#8221;gcid-primary-color&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{%22gcid-primary-color%22:%91%22border_color_top%22%93}&#8221;][et_pb_column type=&#8221;3_4&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;40px|40px|40px|40px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _dynamic_attributes=&#8221;content&#8221; _module_preset=&#8221;default&#8221; text_font=&#8221;&#8211;et_global_body_font|600||on|||||&#8221; text_text_color=&#8221;gcid-primary-color&#8221; text_font_size=&#8221;21px&#8221; header_2_text_color=&#8221;gcid-primary-color&#8221; global_colors_info=&#8221;{%22gcid-primary-color%22:%91%22header_2_text_color%22,%22text_text_color%22%93}&#8221;]@ET-DC@eyJkeW5hbWljIjp0cnVlLCJjb250ZW50IjoicG9zdF90aXRsZSIsInNldHRpbmdzIjp7ImJlZm9yZSI6IiIsImFmdGVyIjoiICJ9fQ==@[\/et_pb_text][et_pb_divider divider_weight=&#8221;2px&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;||||false|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_divider][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p data-start=\"0\" data-end=\"60\" class=\"\" style=\"text-align: justify;\"><em data-start=\"0\" data-end=\"8\">Ascent<\/em> \u00e9 um jogo de 1998 criado por Gregory K. Van Patten.<\/p>\n<p data-start=\"62\" data-end=\"361\" class=\"\" style=\"text-align: justify;\"><em data-start=\"62\" data-end=\"70\">Ascent<\/em> \u00e9 jogado com pe\u00e7as numeradas inicialmente dispostas em padr\u00e3o de losango (ver configura\u00e7\u00e3o inicial). Existem quatro filas inclinadas para a esquerda (de nordeste para sudoeste) e quatro filas inclinadas para a direita (de noroeste para sudeste). Al\u00e9m disso, existem sete n\u00edveis (ou seja, o n\u00edvel com a pe\u00e7a &#8220;1&#8221;, o n\u00edvel com as pe\u00e7as &#8220;2&#8221;, etc.).<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent0-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7166 alignnone size-medium\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent0-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent0-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent0-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent0-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"0\" data-end=\"201\" class=\"\" style=\"text-align: justify;\">No seu turno, um jogador deve trocar duas pe\u00e7as de n\u00edveis diferentes, sob a condi\u00e7\u00e3o de que a pe\u00e7a que se encontra inicialmente num n\u00edvel superior tenha um n\u00famero maior do que a pe\u00e7a do n\u00edvel inferior.<\/p>\n<p data-start=\"203\" data-end=\"573\" class=\"\" style=\"text-align: justify;\">O objetivo do primeiro jogador \u00e9 organizar as pe\u00e7as numa das quatro filas inclinadas para a esquerda, de forma que os n\u00fameros formem uma sequ\u00eancia estritamente crescente do topo dessa fila at\u00e9 \u00e0 base.<\/p>\n<p data-start=\"203\" data-end=\"573\" class=\"\" style=\"text-align: justify;\">O objetivo do segundo jogador \u00e9 organizar as pe\u00e7as numa das quatro filas inclinadas para a direita, tamb\u00e9m com uma sequ\u00eancia estritamente crescente de cima para baixo.<\/p>\n<p data-start=\"575\" data-end=\"920\" class=\"\" style=\"text-align: justify;\">Considera\u00e7\u00f5es adicionais: N\u00e3o \u00e9 permitido passar a vez, o que significa que poder\u00e1 ser necess\u00e1rio fazer uma jogada que concretize o objetivo do advers\u00e1rio e, assim, perder.<\/p>\n<p data-start=\"575\" data-end=\"920\" class=\"\" style=\"text-align: justify;\">Se uma jogada completar simultaneamente sequ\u00eancias estritamente crescentes de cima para baixo em ambas as dire\u00e7\u00f5es (esquerda e direita), ent\u00e3o o jogo termina em empate.<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\" style=\"text-align: justify;\">Segue-se um exemplo de jogo criado pelo autor (as pe\u00e7as a cinzento indicam trocas).<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent1-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7167 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent1-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent1-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent1-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent1-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\" style=\"text-align: justify;\">O primeiro jogador acabou de jogar e amea\u00e7a vencer trocando o 2 e o 3 no lado inferior direito.<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent2-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7168 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent2-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent2-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent2-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent2-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\" style=\"text-align: justify;\">O segundo jogador defende-se trocando o 3 e o 6 indicados, e agora amea\u00e7a vencer trocando o 4 e o 5. Nota que, se o segundo jogador tivesse tentado defender trocando o 1 e o 7, o primeiro jogador venceria na jogada seguinte.<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent3-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7169 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent3-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent3-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent3-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent3-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\" style=\"text-align: justify;\">O primeiro jogador troca o 3 e o 4, e agora poderia vencer trocando o 2 e o 5.<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent4-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7170 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent4-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent4-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent4-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent4-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\" style=\"text-align: justify;\">O segundo jogador troca o 3 e o 7, e agora poderia vencer trocando o 6 e o 7.<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent5-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7171 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent5-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent5-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent5-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent5-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\" style=\"text-align: justify;\">O primeiro jogador troca o 2 e o 5, e amea\u00e7a vencer trocando o 4 e o 6.<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent6-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7172 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent6-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent6-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent6-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent6-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\" style=\"text-align: justify;\">O segundo jogador defende-se trocando o 5 e o 7, e agora amea\u00e7a vencer trocando o 2 e o 3.<\/p>\n<p data-start=\"922\" data-end=\"1005\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent7-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7173 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent7-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent7-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent7-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent7-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"0\" data-end=\"75\" class=\"\" style=\"text-align: justify;\">O primeiro jogador troca o 2 e o 3, e agora amea\u00e7a vencer trocando o 4 e o 5.<\/p>\n<p data-start=\"77\" data-end=\"287\" class=\"\" style=\"text-align: justify;\">De notar que a fila [3 3 5 6] n\u00e3o constitui uma vit\u00f3ria para o segundo jogador, porque n\u00e3o forma uma sequ\u00eancia estritamente crescente (cont\u00e9m mais do que uma pe\u00e7a com o n\u00famero &#8220;3&#8221;).<\/p>\n<p data-start=\"77\" data-end=\"287\" class=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent8-202x300.gif\" width=\"202\" height=\"300\" alt=\"\" class=\"wp-image-7174 alignnone size-medium\" style=\"display: block; margin-left: auto; margin-right: auto;\" srcset=\"https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent8-202x300.gif 202w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent8-691x1024.gif 691w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent8-768x1138.gif 768w, https:\/\/ludicum.org\/wp-content\/uploads\/2025\/05\/2025_01_ascent8-8x12.gif 8w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><\/p>\n<p data-start=\"77\" data-end=\"287\" class=\"\" style=\"text-align: justify;\">No entanto, o primeiro jogador n\u00e3o se apercebeu desta troca entre o 1 e o 3, que resulta numa vit\u00f3ria para o segundo jogador.<\/p>\n<p data-start=\"536\" data-end=\"791\" class=\"\" style=\"text-align: right;\">&#8212; Jo\u00e3o Pedro Neto<\/p>\n<p>[\/et_pb_text][et_pb_button button_url=&#8221;@ET-DC@eyJkeW5hbWljIjp0cnVlLCJjb250ZW50IjoicG9zdF9saW5rX3VybF9wYWdlIiwic2V0dGluZ3MiOnsicG9zdF9pZCI6IjY2NjMifX0=@&#8221; button_text=&#8221;Regressar ao Blog&#8221; 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_builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; title_level=&#8221;h6&#8243; title_text_color=&#8221;#FFFFFF&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_heading][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; custom_margin=&#8221;20px||20px||false|false&#8221; custom_margin_tablet=&#8221;20px||20px||false|false&#8221; custom_margin_phone=&#8221;20px||20px||false|false&#8221; custom_margin_last_edited=&#8221;on|tablet&#8221; custom_padding=&#8221;10px||10px||false|false&#8221; custom_css_main_element=&#8221;.tag-list {||  list-style: none;      \/* Remove os bullets *\/||  padding: 0;||  margin: 0;||}||||.tag-list li {||  margin-bottom: 15px;||  margin-left: 25px;\t\/* Espa\u00e7o entre as tags *\/||}||||.tag-list li a {||  text-decoration: none;||  color: #666666;||  font-size: 14px;||}||||.tag-list li a:hover {||  text-decoration: underline;||  color: #000;||}||&#8221; global_colors_info=&#8221;{}&#8221; locked=&#8221;off&#8221;]<\/p>\n<ul class=\"tag-list\"><li><a href=\"https:\/\/ludicum.org\/en\/tag\/1600s\/\">1600s<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/1890s\/\">1890s<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/1920s\/\">1920s<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/1970s\/\">1970s<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/1980s\/\">1980s<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/1990s\/\">1990s<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/2000s\/\">2000s<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/6m\/\">6M<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/cnjm\/\">CNJM<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/dados\/\">Dados<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/historia\/\">Hist\u00f3ria<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/jogos\/\">Jogos<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/matematica-recreativo\/\">Matem\u00e1tica Recreativo<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/pedagogicos\/\">Pedag\u00f3gicos<\/a><\/li><li><a href=\"https:\/\/ludicum.org\/en\/tag\/puzzles\/\">Puzzles<\/a><\/li><\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um jogo de tabuleiro e n\u00fameros de Gregory K. 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