优化铁路立方体
Optimising the Rail Cube

原始链接: https://owenlacey.dev/railcube-optimisation/post

这是一个Rail Cube 轨道。就像模型火车和乐高生了个孩子。它使用四条直轨、两个内环、两个外环和四个左转。它有23块 Rail Cube 零件留在盒子里未使用。不可接受。事实上,我准备了一堆,随时可以给三岁的孩子重新搭建,因为现有的结构无聊了。我给你看的是我生成的约2700万个 Rail Cube 布局的样本。这听起来很多,但我认为用完所有零件有超过280亿种搭建方式。这是目前我最喜欢的。美吗?我已经把这份喜爱正式化,以便有人改进它。99.9%的布局还没见过,我相当确信还有更好的。你能找到吗?

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原文

This is a Rail Cube track. It's as if model trains and LEGO had a baby.

It uses four straights, two inner loops, two outer loops, and four left turns. It leaves 23 Rail Cube pieces in the box, unused. Unacceptable.

In fact, I've got a bunch of these ready to use any time my three-year-old decrees that the existing structure is tiresome.

I am showing you a sample of the ~27 million Rail Cube layouts I've generated. That may sound like loads, but I reckon there are over 28 billion ways to build one using every piece.

This one is my favourite so far. Isn't it beautiful? I have formalised this affection in anticipation of someone improving on it. With 99.9% of layouts unseen, I'm pretty confident there's a better one out there. Can you find it?

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