{ "metadata": { "name": "", "signature": "sha256:d0203b0f622d317f1ef81956dd65a2cba91aa9cf994a926eaebcc4c4eb7ee1c6" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Sol Golomb\u2019s Rectangle Puzzle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This problem was presented by Gary Antonik in his 14/4/14 New York Times [Numberplay column](http://wordplay.blogs.nytimes.com/2014/04/14/rectangle). \n", "\n", ">Say you\u2019re given the following challenge: create a set of five rectangles that have sides of length 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 units. You can combine sides in a variety of ways: for example, you could create a set of rectangles with dimensions 1 x 3, 2 x 4, 5 x 7, 6 x 8 and 9 x 10.\n", ">\n", ">1. How many different sets of five rectangles are possible?\n", ">\n", ">2. What are the maximum and minimum values for the total areas of the five rectangles?\n", "

Bonus Challenges