Scholarlink

<p>In 1985, Linderholm posed the following problem: does every convex body <i>K</i> in the plane admit a right-angled triangle <i>T</i> that contains <i>K</i> and whose area is at most twice that of <i>K</i>? Assuming that <i>K</i> has constant width, we prove that such a triangle <i>T</i> exists with area at most 2.07016 times the area of <i>K</i>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A note on a problem posed by Linderholm

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月22日

查看全文
  • Christoph Thäle

摘要

In 1985, Linderholm posed the following problem: does every convex body K in the plane admit a right-angled triangle T that contains K and whose area is at most twice that of K? Assuming that K has constant width, we prove that such a triangle T exists with area at most 2.07016 times the area of K.