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Westwood bing looks very different because it was built by machines. All features of the Westwood works were very different to everything that had come before. Built to fuel Britain’s war machine the designers of Westwood works took full advantage of the technical advances that had taken place since the previous new oil works almost forty years before. This new technology extended to the disposal of the spent shale from the efficient new retorts. This finely graded waste was transported along a conveyor belt to a central bunker from where the spent shale was fed to a large carriage on rails. This was hauled to the top of the bing where the carriage was discharged by gravity. I was skeptical of the house with two rooms for a long time. I just couldn’t see how to squish it up into a point without changing its topology. I took Hatcher’s word for it, but it wasn’t until I made it for myself that I truly believed in its contractibility. The day before spring break last semester, I brought some clay to my topology class, and one of the things we made was the house with two rooms. By the time we were finished, I felt like I truly understood the space. The house with two rooms...and a slightly leaky roof.
House with two rooms or Bing's house is a particular contractible, 2-dimensional simplicial complex that is not collapsible. The name was given by R. H. Bing. [1] The Sisters remain in private ownership, and access is discouraged. Without hikers boots or swarms of trail bikes they grow a denser cloak of grass and shrub every year. Athletic cattle sometimes find their way up the lower levels of the bing in search of rare and tasty vegetation, but seem to do little damageBing House Playset features popular CBeebies characters – Flop and Bing! Just like the house you see on the hit TV show. Beautifully made from tough, colourful plastic. Includes two posable figures and nine accessories.
If you want to take the easy way out instead, 12-year-old David Hitchman, son of University of Northern Iowa mathematician Theron J. Hitchman, made a fun video about building it in Minecraft, and Ken Baker wrote about it on the blog Sketches of Topology. There, he describes it in a different way:
This allowed a huge saving of labour, and created a very different shape of mound to the traditional shale bing. Perhaps because the shale was broken to a smaller size and more bound oil was extracted during retorting process, the Westwood bing supports vegetation more readily and have greened much faster than other shale bings.
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Ican’t think about the house with two roomswithout hearing John 14:2: “In my father’s house there are many rooms.” This topological example is a bit more modest than the kingdom of God. After all, there are just two rooms.A more appropriate verse is this: In Bing’s house, there are two rooms. If it were not so, would Hatcher have told you how to construct it? The house is made of 2-dimensional panels, and has two rooms. The upper room may be entered from the bottom face, while the lower room may be entered from the upper face. There are two small panels attached to the tunnels between the rooms, which make this simplicial complex contractible. Here is where I could tell you how I saw that the space was contractible, but I’m not going to do that. I think the best way to see it is to make it out of clay or any pliable material you have on hand. Hatcher’s diagram and description give a good recipe, and I know from personal experience that undergraduates and even postdocs like me can follow the instructions well enough to create a convincing house with two rooms, although I must admit our roof was leaky.
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