tag:blogger.com,1999:blog-52240889001091144052012-03-08T22:15:15.271+01:00Un rincón para el mundo de las MatemáticasANTONIO EXPÓSITOhttp://www.blogger.com/profile/11872751329220571552noreply@blogger.comBlogger204125tag:blogger.com,1999:blog-5224088900109114405.post-74800926007568400822012-02-23T00:02:00.001+01:002012-02-23T00:05:19.053+01:002012-02-23T00:05:19.053+01:00<div style="color: #990000; font-family: Verdana,sans-serif;"> <span style="font-size: large;"><b>El número Pi</b></span></div> <div style="font-family: Verdana,sans-serif;"> <br /></div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> El número Pi es digno de admiración</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> tres coma uno cuatro uno</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> todas sus cifras siguientes también son iniciales</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> cinco nueve dos, porque nunca se termina.</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> No permite abarcarlo con la mirada seis cinco tres cinco</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> con un cálculo ocho nueve</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> con la imaginación siete nueve </div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> o en broma tres dos tres, es decir, por comparación</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> cuatro seis con cualquier otra cosa</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> dos seis cuatro tres en el mundo.</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> La más larga serpiente después de varios metros se interrumpe</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> igualmente, aunque un poco más tarde, hacen las</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> serpientes fabulosas.</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> El cortejo de cifras que forman el número Pi</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> no se detiene en el margen de un folio,</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> es capaz de prolongarse por la mesa, a tavés del aire,</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> a través del muro, de una hoja,</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> del nido de un pájaro,</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> de las nubes, directamente al cielo</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> a través de la total hinchazón e inmensidad del cielo</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> ¡Oh, qué corta es la cola del cometa, como la de un ratón!</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> ¡Qué frágil el rayo de la estrella que se encorva en cualquier espacio!</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> Pero aquí dos tres quince trescientos noventa</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> mi númeero de teléfono, la talla de tu camisa</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> año mil novecientos setenta y tres sexto piso</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> número de habitantes sesenta y cinco céntimos</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> la medida de la cadera dos dedos la charada y el código</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> en la que mi ruiseñor vuela y canta</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> y pide un comportamiento tranquilo</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> también transcurren la tierra y el cielo</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> pero no el número Pi, éste no,&nbsp;</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> él es todavía un buen cinco </div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> no es un ocho cualquiera</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> ni el último siete</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> metiendo prisa, oh, metiendo prisa a la perezosa</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> eternidad</div> <div style="color: #134f5c; font-family: Verdana,sans-serif;"> para la permanencia.</div> <div style="font-family: Verdana,sans-serif; text-align: right;"> WISLAWA SZYMBORSKA</div> <div style="text-align: right;"> <span style="font-family: Verdana,sans-serif;">(Premio Nóbel de Literatura en 1996)</span></div> <div class="separator" style="clear: both; text-align: center;"> <a href="http://3.bp.blogspot.com/-en-3LJ0YGb0/T0V0EJj9UNI/AAAAAAAAAYk/8nUMRbzo0nc/s1600/Wis%C5%82awa_Szymborska.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-en-3LJ0YGb0/T0V0EJj9UNI/AAAAAAAAAYk/8nUMRbzo0nc/s1600/Wis%C5%82awa_Szymborska.JPG" /></a></div> <div style="text-align: right;"> <br /></div> <center><script type="text/javascript"> <!-- google_ad_client = "ca-pub-3763620977841950"; 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/* Para blog */ google_ad_slot = "7785280216"; google_ad_width = 468; google_ad_height = 60; //--> </script> <script type="text/javascript" src="http://pagead2.googlesyndication.com/pagead/show_ads.js"> </script></center><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/5224088900109114405-8172836627411076543?l=matematicascompartidas.blogspot.com' alt='' /></div> <p><a href="http://feedads.g.doubleclick.net/~a/2PrA0__Mt2vXuhOJY3ywr-EzExU/0/da"><img src="http://feedads.g.doubleclick.net/~a/2PrA0__Mt2vXuhOJY3ywr-EzExU/0/di" border="0" ismap="true"></img></a><br/> <a href="http://feedads.g.doubleclick.net/~a/2PrA0__Mt2vXuhOJY3ywr-EzExU/1/da"><img src="http://feedads.g.doubleclick.net/~a/2PrA0__Mt2vXuhOJY3ywr-EzExU/1/di" border="0" ismap="true"></img></a></p><img src="http://feeds.feedburner.com/~r/blogspot/PViY/~4/Z71XqsQV6dM" height="1" width="1"/>ANTONIO EXPÓSITOhttp://www.blogger.com/profile/11872751329220571552noreply@blogger.com0http://matematicascompartidas.blogspot.com/2012/02/problema-matematico-1-sandwich.htmltag:blogger.com,1999:blog-5224088900109114405.post-15208539775989920382012-01-31T09:00:00.000+01:002012-01-31T09:00:05.033+01:002012-01-31T09:00:05.033+01:00<div class="separator" style="clear: both; text-align: center;"> <a href="http://2.bp.blogspot.com/-ee-9mrbK60s/TyWy9uuaPsI/AAAAAAAAAUA/UJ1K_oWUdbM/s1600/pensamiento.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="185" src="http://2.bp.blogspot.com/-ee-9mrbK60s/TyWy9uuaPsI/AAAAAAAAAUA/UJ1K_oWUdbM/s200/pensamiento.jpg" width="200" /></a></div> <div style="text-align: justify;"> <span style="font-family: Verdana,sans-serif;">Mañana comienza el mes de febrero. Durante los próximos 20 días os iré trayendo un problema de matemáticas o de ingenio.</span></div> <div style="text-align: justify;"> <span style="font-family: Verdana,sans-serif;"> </span></div> <div style="text-align: justify;"> <span style="font-family: Verdana,sans-serif;">Los video-problemas provienen del programa "<i>Alterados por pi</i>".</span></div> <div style="text-align: justify;"> <br /></div> <div style="text-align: justify;"> <span style="font-family: Verdana,sans-serif;">Espero que guste y que os animéis a resolverlos antes de ver la solución que aparece al final del video.</span></div> <div style="text-align: justify;"> <span style="font-family: Verdana,sans-serif;"> </span></div> <div style="text-align: justify;"> <span style="font-family: Verdana,sans-serif;">¡ÁNIMO!</span></div> <center><script type="text/javascript"><!-- google_ad_client = "ca-pub-3763620977841950"; /* Para blog */ google_ad_slot = "7785280216"; google_ad_width = 468; google_ad_height = 60; //--> </script> <script type="text/javascript" src="http://pagead2.googlesyndication.com/pagead/show_ads.js"> </script></center><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/5224088900109114405-1520853977598992038?l=matematicascompartidas.blogspot.com' alt='' /></div> <p><a href="http://feedads.g.doubleclick.net/~a/B5wzoMCdUBL9-_W_Il84Bg-DyQs/0/da"><img src="http://feedads.g.doubleclick.net/~a/B5wzoMCdUBL9-_W_Il84Bg-DyQs/0/di" border="0" ismap="true"></img></a><br/> <a href="http://feedads.g.doubleclick.net/~a/B5wzoMCdUBL9-_W_Il84Bg-DyQs/1/da"><img src="http://feedads.g.doubleclick.net/~a/B5wzoMCdUBL9-_W_Il84Bg-DyQs/1/di" border="0" ismap="true"></img></a></p><img src="http://feeds.feedburner.com/~r/blogspot/PViY/~4/IECo2lQYo6U" height="1" width="1"/>ANTONIO EXPÓSITOhttp://www.blogger.com/profile/11872751329220571552noreply@blogger.com0http://matematicascompartidas.blogspot.com/2012/01/20-dias-20-problemas.htmltag:blogger.com,1999:blog-5224088900109114405.post-60425761519819578882012-01-29T23:29:00.001+01:002012-01-29T23:30:34.057+01:002012-01-29T23:30:34.057+01:00<div style="text-align: justify;"> <span style="font-family: &quot;Trebuchet MS&quot;,sans-serif;">A menudo la naturaleza nos ofrece imágenes inpresionantes. El reflejo sobre el agua crea imágenes simétricas.</span></div> <div style="text-align: justify;"> <br /></div> <div style="text-align: justify;"> <span style="font-family: &quot;Trebuchet MS&quot;,sans-serif;">Dejo aquí algunas fotografía de esa belleza que es la simetría.</span></div> <div class="separator" style="clear: both; text-align: center;"> <a href="http://4.bp.blogspot.com/-Z3Jf_TUyzmw/TyXIHyqlHvI/AAAAAAAAAX4/oFfdAVykxcs/s1600/SIMETRIA+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="213" src="http://4.bp.blogspot.com/-Z3Jf_TUyzmw/TyXIHyqlHvI/AAAAAAAAAX4/oFfdAVykxcs/s320/SIMETRIA+5.jpg" width="320" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="http://1.bp.blogspot.com/-pA6KItb5JKc/TyXII5c8GQI/AAAAAAAAAYA/RlhuzCaRxsk/s1600/SIMETRIA+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="230" src="http://1.bp.blogspot.com/-pA6KItb5JKc/TyXII5c8GQI/AAAAAAAAAYA/RlhuzCaRxsk/s320/SIMETRIA+1.jpg" width="320" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="http://4.bp.blogspot.com/-aAAuEWUbdQI/TyXIJu6DrLI/AAAAAAAAAYI/YuUrL1H012s/s1600/SIMETRIA+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://4.bp.blogspot.com/-aAAuEWUbdQI/TyXIJu6DrLI/AAAAAAAAAYI/YuUrL1H012s/s320/SIMETRIA+2.jpg" width="256" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="http://2.bp.blogspot.com/-0RrJRllKroM/TyXIKb9SthI/AAAAAAAAAYQ/JftyHixgxEI/s1600/SIMETRIA+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="213" src="http://2.bp.blogspot.com/-0RrJRllKroM/TyXIKb9SthI/AAAAAAAAAYQ/JftyHixgxEI/s320/SIMETRIA+3.jpg" width="320" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="http://2.bp.blogspot.com/-WibXt_ZcnuU/TyXILRlyCFI/AAAAAAAAAYY/836ymNQINFg/s1600/SIMETRIA+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="213" src="http://2.bp.blogspot.com/-WibXt_ZcnuU/TyXILRlyCFI/AAAAAAAAAYY/836ymNQINFg/s320/SIMETRIA+4.jpg" width="320" /></a></div> <div style="text-align: justify;"> <span style="font-family: &quot;Trebuchet MS&quot;,sans-serif;"> </span></div><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/5224088900109114405-6042576151981957888?l=matematicascompartidas.blogspot.com' alt='' /></div> <p><a href="http://feedads.g.doubleclick.net/~a/9kmMb4H1kjQDokmXVS4HjwCknLU/0/da"><img src="http://feedads.g.doubleclick.net/~a/9kmMb4H1kjQDokmXVS4HjwCknLU/0/di" border="0" ismap="true"></img></a><br/> <a href="http://feedads.g.doubleclick.net/~a/9kmMb4H1kjQDokmXVS4HjwCknLU/1/da"><img src="http://feedads.g.doubleclick.net/~a/9kmMb4H1kjQDokmXVS4HjwCknLU/1/di" border="0" ismap="true"></img></a></p><img src="http://feeds.feedburner.com/~r/blogspot/PViY/~4/m4DoTPo2sFg" height="1" width="1"/>ANTONIO EXPÓSITOhttp://www.blogger.com/profile/11872751329220571552noreply@blogger.com0http://matematicascompartidas.blogspot.com/2012/01/simetrias.htmltag:blogger.com,1999:blog-5224088900109114405.post-42414392341500893292012-01-29T22:52:00.000+01:002012-01-29T23:32:13.705+01:002012-01-29T23:32:13.705+01:00<div style="font-family: Verdana,sans-serif; text-align: justify;"> <span class="" id="result_box" lang="es"><span class="hps">Tobia</span> <span class="hps">Rava</span> <span class="hps atn">(</span><span class="">Padua</span><span class="">,</span> <span class="hps">1959)</span><span class=""></span><span class=""> estudió en</span> <span class="hps">la Escuela</span> <span class="hps">Internacional de Gráfica</span> <span class="hps">en Venecia y</span> <span class="hps">Urbino.</span> <span class="hps">Se graduó</span>&nbsp;<span class="hps"></span><span class="hps">en</span> <span class="hps">la Universidad de Bolonia</span><span class="">,</span> <span class="hps">siendo alumno de &nbsp;</span><span class="hps">Umberto</span> <span class="hps">Eco</span><span class="">,</span> <span class="hps">Renato</span> <span class="hps">Barilli</span><span class="">,</span> <span class="hps">Omar</span> <span class="hps">Calabrese y</span><span class=""></span> <span class="hps">Flavio</span> <span class="hps">Caroli</span><span class="">.</span> <span class="hps">Pinta</span> <span class="hps">desde 1971</span> <span class="hps">y ha expuesto</span> <span class="hps">desde 1977 en</span> <span class="hps">exposiciones individuales y colectivas</span> <span class="hps">en Italia</span><span class="">, Bélgica, Croacia</span><span class="">, Francia, Alemania</span><span class="">, España, Brasil</span><span class="">, Argentina,</span> <span class="hps">Japón y</span> <span class="hps">los Estados Unidos.</span> <span class="hps"></span><br /><br /> <span class="hps">En 1998</span> <span class="hps">fue uno de los</span> <span class="hps">miembros fundadores</span> <span class="hps">del Concierto de</span> <span class="hps">Arte Contemporáneo,</span> <span class="hps">una asociación cultural que</span> <span class="hps">pretende reunir a</span> <span class="hps">los artistas</span> <span class="hps">con la</span> <span class="hps">misma afinidad por</span> <span class="hps">la actualización</span> <span class="hps">mediante la colocación</span> <span class="hps">del hombre</span> <span class="hps">en armonía con</span> <span class="hps">el medio ambiente y</span> <span class="hps">el arte contemporáneo,</span> <span class="hps">consciente de</span> <span class="hps">su relación con la</span> <span class="hps">historia</span> <span class="hps">y la historia del arte</span><span class="">, incluso</span> <span class="hps">interactuando con</span> <span class="hps">exposiciones</span><span class=""> en parques,</span> <span class="hps">villas</span><span class="">, edificios históricos y</span> <span class="hps">plazas de las ciudades</span><span class="">.</span> <span class="hps">Desde 1999</span> <span class="hps">comenzó</span> <span class="hps">una serie de conferencias</span><span class="">,</span> <span class="hps">invitado por</span> <span class="hps">universidades y escuelas</span> <span class="hps">de arte</span><span class="">,</span> <span class="hps">sus actividades</span> <span class="hps">en el contexto</span> <span class="hps">de la cultura judía</span><span class="">,</span> <span class="hps">y el arte contemporáneo</span> <span class="hps">de la lógica matemática</span><span class="">.</span></span></div> <br /> <br /> <br /> <center><div style="font-family: arial,sans-serif; font-size: 13px; width: 400px;"> <div> <embed flashvars="host=picasaweb.google.com&amp;hl=es&amp;feat=flashalbum&amp;RGB=0x000000&amp;feed=https%3A%2F%2Fpicasaweb.google.com%2Fdata%2Ffeed%2Fapi%2Fuser%2F115564125725762258352%2Falbumid%2F5703168525338903089%3Falt%3Drss%26kind%3Dphoto%26hl%3Des" height="267" pluginspage="http://www.macromedia.com/go/getflashplayer" src="https://picasaweb.google.com/s/c/bin/slideshow.swf" type="application/x-shockwave-flash" width="400"></embed></div> <span style="float: left;"><a href="https://picasaweb.google.com/115564125725762258352/TOBIARAVAVOLTI?authuser=0&amp;feat=flashalbum" style="color: #3964c2;">Ver todas</a></span><br /> <div style="text-align: right;"> <a href="http://picasaweb.google.com/lh/getEmbed?feat=flashalbum" style="color: #3964c2;">Consigue el tuyo</a></div> </div> </center><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/5224088900109114405-4241439234150089329?l=matematicascompartidas.blogspot.com' alt='' /></div> <p><a href="http://feedads.g.doubleclick.net/~a/aIXQHFBkWdnkF81TTnpCuaM33tk/0/da"><img src="http://feedads.g.doubleclick.net/~a/aIXQHFBkWdnkF81TTnpCuaM33tk/0/di" border="0" ismap="true"></img></a><br/> <a href="http://feedads.g.doubleclick.net/~a/aIXQHFBkWdnkF81TTnpCuaM33tk/1/da"><img src="http://feedads.g.doubleclick.net/~a/aIXQHFBkWdnkF81TTnpCuaM33tk/1/di" border="0" ismap="true"></img></a></p><img src="http://feeds.feedburner.com/~r/blogspot/PViY/~4/DWo5MIylt_g" height="1" width="1"/>ANTONIO EXPÓSITOhttp://www.blogger.com/profile/11872751329220571552noreply@blogger.com0http://matematicascompartidas.blogspot.com/2012/01/tobia-rava-arte-con-numeros.htmltag:blogger.com,1999:blog-5224088900109114405.post-57654491215309549562012-01-28T19:06:00.000+01:002012-01-28T19:42:27.989+01:002012-01-28T19:42:27.989+01:00<br /> <br /> <center><iframe allowfullscreen="" frameborder="0" height="344" src="http://www.youtube.com/embed/7-IjOS2YWsU?fs=1" width="459"></iframe></center> <center><script type="text/javascript"> <!-- google_ad_client = "ca-pub-3763620977841950"; 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