Bing Playhouse Figure Set. Comes with Bing Bunny & Flop Figures & Foldaway House, From CBeebies TV Show. Tough & Colourful Toddler Toys. Kids Aged 12 Months+.

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Bing Playhouse Figure Set. Comes with Bing Bunny & Flop Figures & Foldaway House, From CBeebies TV Show. Tough & Colourful Toddler Toys. Kids Aged 12 Months+.

Bing Playhouse Figure Set. Comes with Bing Bunny & Flop Figures & Foldaway House, From CBeebies TV Show. Tough & Colourful Toddler Toys. Kids Aged 12 Months+.

RRP: £99
Price: £9.9
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You know how instead of doing a handshake, you could grab each other’s wrists? And your thumbs almost but don’t quite reach your fingers? Bing’s glove for two hands would fit snugly. If your eyes glazed over a bit there, you’re not alone. The picture and description are hard to parse. Before we try to understand the space itself, we should figure out why we would bother with it at all. Hatcher uses it as an example of a space that is “contractible but not in any obvious way.” 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. I’m pretty impressed with Bing’s House. It’s possibly not something I’d have thought to buy the children myself, but then I clearly have no clue about toys (the Fisher Price Klip Klop Princess StableI wasn’t too sure of remains is the most played with toy in our house). As well as the vintage retro Fisher Price Little People, all the FP toys are well loved in our house – from the modern Little People House to the baby gym and the iconic phone. Bing is the Cbeebies animated series – not the search engine – about a toddler bunny and his friends learning to cope with new experiences and emotions.

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: A great thing about the house is that it is compact and folds up (please tell me most houses are like ours, with loads more toys than you ever imagined you’d have?).

To build this space, start with a box divided into two chambers by a horizontal rectangle, where by a ‘rectangle’ we mean not just the four edges of a rectangle but also its interior. Access to the two chambers from outside the box is provided by two vertical tunnels. The upper tunnel is made by punching out a square from the top of the box and another square directly below it from the middle horizontal rectangle, then inserting four vertical rectangles, the walls of the tunnel. This tunnel allows entry to the lower chamber from outside the box. the lower tunnel is formed in similar fashion, providing entry to the upper chamber. Finally, two vertical rectangles are inserted to form ‘support walls’ for the two tunnels. The resulting space X thus consists of three horizontal pieces homeomorphic to annuli plus all the vertical rectangles that form the walls of the two chambers. 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? Here’s our Fisher Price Bing House review….Keeping children entertained for hours? It’s a Bing thing. The theme of each episode is neatly summed up in a line at the end –‘Making friends…it’s a Bing thing.’ And another thing I loved is that it doesn’t make any noise or play any tunes, which is brilliant when you may or may not have had a few glasses of wine the night before. Ahem…

Contractible” is topological shorthand for “like a point” or, not to put too fine a point on it, “boring.” A space is contractible if it you can smush it down to a point without tearing the space or gluing any parts of it together.For example, a solid ball is contractible because even though it is three- rather than zero-dimensional like a point, it can be shrunk down all the way to a point without tearing or collapsing any of its interesting features. Hence, for some topological purposes, it’s close enough to being a point that we might as well assume it is. However, it doesn’t answer my biggest question about Bing – how does Flopstay SO CALM? Answers on a postcard please.

Bing’s House Review – Our Thoughts

The house with two rooms is sometimes called Bing’s house after R. H. Bing, the mathematician who first described the space. But like many math students, I first encountered it in Allen Hatcher’s algebraic topology book. He gives us the following picture and definition of the space. Early episodes feature the seductively soothing tones of actor Mark Rylance – from Wolf Hall – as Bing’s guardian Flop, and all the children are bigger than the adults, reflecting how child-centric life is at that age. Hatcher is asserting that the house with two rooms, like a solid ball, is also equivalent to a point, although less obviously so. The houseis a façade. It looks as though it has holes in it, but they are not really there in a topological sense. A bird's eye view of a house with two rooms while it is under construction. Here, only the first floor has been built. Have you seen Bing on CBeebies? We were recently sent the new Fisher Price Bing play house to review. I’d been out for dinner the night before and while I wouldn’t say I was hungover, I was…struggling slightly, so this was a really welcome welcome distraction.

But what’s the children’s verdict? Well, it kept Eliza entertained for ages and it’s great for fostering imaginative small world play (central to our rules for play). 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.



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