不同维度下的填充密度上限和下限：<img data-key="0" src="http://imagev2.xmcdn.com/storages/415a-audiofreehighqps/C1/30/GMCoOSMG8-ScAAFuLwGfpeBP.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_large" alt="" data-origin="http://imagev2.xmcdn.com/storages/415a-audiofreehighqps/C1/30/GMCoOSMG8-ScAAFuLwGfpeBP.png?op_type=0" data-large="http://imagev2.xmcdn.com/storages/415a-audiofreehighqps/C1/30/GMCoOSMG8-ScAAFuLwGfpeBP.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_large" data-large-width="750" data-large-height="660.2393617021277" data-preview="http://imagev2.xmcdn.com/storages/415a-audiofreehighqps/C1/30/GMCoOSMG8-ScAAFuLwGfpeBP.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_small" data-preview-width="140" data-preview-height="123.24468085106383"><img data-key="1" src="http://imagev2.xmcdn.com/storages/75c4-audiofreehighqps/72/50/GKwRIMAG8-SzAAFuLwGfpeRr.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_large" alt="" data-origin="http://imagev2.xmcdn.com/storages/75c4-audiofreehighqps/72/50/GKwRIMAG8-SzAAFuLwGfpeRr.png?op_type=0" data-large="http://imagev2.xmcdn.com/storages/75c4-audiofreehighqps/72/50/GKwRIMAG8-SzAAFuLwGfpeRr.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_large" data-large-width="750" data-large-height="660.2393617021277" data-preview="http://imagev2.xmcdn.com/storages/75c4-audiofreehighqps/72/50/GKwRIMAG8-SzAAFuLwGfpeRr.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_small" data-preview-width="140" data-preview-height="123.24468085106383"><hr style="border:0px;margin:20px 0px;background:#ddd;display:inline-block;width:100%;border-style:solid;height:1px;">正方形格和六边形格：<img data-key="2" src="http://imagev2.xmcdn.com/storages/19b1-audiofreehighqps/84/4D/GMCoOSYG8-VYAAEpWgGfpfyG.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_large" alt="" data-origin="http://imagev2.xmcdn.com/storages/19b1-audiofreehighqps/84/4D/GMCoOSYG8-VYAAEpWgGfpfyG.png?op_type=0" data-large="http://imagev2.xmcdn.com/storages/19b1-audiofreehighqps/84/4D/GMCoOSYG8-VYAAEpWgGfpfyG.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_large" data-large-width="750" data-large-height="401.40845070422534" data-preview="http://imagev2.xmcdn.com/storages/19b1-audiofreehighqps/84/4D/GMCoOSYG8-VYAAEpWgGfpfyG.png!op_type=4&amp;device_type=ios&amp;upload_type=attachment&amp;name=mobile_small" data-preview-width="140" data-preview-height="74.92957746478872"><hr style="border:0px;margin:20px 0px;background:#ddd;display:inline-block;width:100%;border-style:solid;height:1px;">欢迎加入ximi团！

S4E15. 2022菲尔兹奖得主做了啥——雨果·杜米尼-科平

以半专业的好奇心解读专业的数学知识，给您轻松愉快的收听体验，带来更多好玩有意思的数学内容。用收听的方式理解数学，跟您聊聊公理，悖论，数论，函数等各种数学相关话题。还会不定期汇报数学界最新成果和新闻。已有话题：三人切蛋糕问题，塑料常数，选择公理，第二次数学危机，不能证明的命题，卡拉比猜想。您的最佳数学厕所和睡前听物！