Angles as Probabilities
نویسندگان
چکیده
Almost everyone knows that the inner angles of a triangle sum to 180o. But if you ask the typical mathematician how to sum the solid inner angles over the vertices of a tetrahedron, you are likely to receive a blank stare or a mystified shrug. In some cases you may be directed to the Gram-Euler relations for higher dimensional polytopes [3, 4, 6, 7], a 19th century result unjustly consigned to relative obscurity. But the answer is really much simpler than that, and here it is:
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ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 116 شماره
صفحات -
تاریخ انتشار 2009