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![]() ![]() I looked at that table for a while trying to figure out a formula describing the mathematical progressions. (The numbers in square brackets are factors of the bold numbers.) Each row indicates how many instances of the component shape are in a given object: Square Shapes The table below lists the square shape objects along the left and their component parts across the top. (In this case, “square” has more the “right-angle” meaning than the four-sided shape, although that shape is one of the shapes involved.) That got me wondering what the count table looked like for all those regular square shapes. More to the point, Egan mentions that a tesseract is composed of 8 cubes, 24 squares, 32 lines, and 16 points. The inspiration for this came from a Greg Egan book ( Diaspora) that mentions tesseracts (you run into them in science fiction sometimes one of my childhood SF short story collections had a story featuring a tesseract house). For myself, I find writing (or talking) about a topic helps clarify it, so this is mostly an exercise for the writer. No promises that this will be coherent, useful, or even interesting, but it is long. It was an interesting diversion, and at least I think I understand that image now!įWIW, here’s a post about what I came up with… Recently I spent a bunch of wetware CPU cycles, and made lots of diagrams, trying to wrap my mind around the idea of a tesseract. This is always the case for the boundary of a shape in any dimension – consider the circle, C = 2(pi)r is the derivative of A = (pi)r^2, or the sphere volume & surface area formulae.If you’re anything like me, you’ve probably spent a fair amount of time wondering what is the deal with tesseracts? Just exactly what the heck is a “four-dimension cube” anyway? No doubt you’ve stared curiously at one of those 2D images (like the one here) that fakes a 3D image of an attempt to render a 4D tesseract. You may notice the (n-1)-dimensional surface-volume is the derivative of the n-dimensional volume. When s = 2n (side length = 2 x number of dimensions) these formulae will yield equal results. (n-1) dimensional surface-volume = (2n) x s^(n-1) Generally, an n-dimensional cube with side lengths s has: (I can’t prove this, but a little internet research reveals it!) The number of (n-1)-dimensional boundary elements of an n-dimensional cube is 2n.Ī 4d hypercube has 8 x 3d cubes surrounding The 3-dimensional surface-volume (akin to surface-area) would indeed be 8 x 8^3, so this would be an equable 4d shape. ![]() The 4-dimensional volume of this would be 8^4. ![]() I believe the shape you are referring to is a hypercube or tesseract. ![]() Can anyone help? Oh, and if you could do it in such a way that a 12 year could understand that’d be great. What is 4D space called? It’s fair to say that my 4D shape work has been somewhat lacking in the past and I feel that I’m now at a stage in my life where I’m happy to delve into 4D. I was able to describe that the 4D shape in question would be bounded (somehow) by 8 cubes of size 8x8x8, which I hope is actually true. What I’d like help with is how to determine if that’s true. Now, I have a couple of students who noticed that in 2D, a 4×4 shape is equable and in 3D, a 6圆圆 shape is equable and so, they suggested that in 4D, an 8x8x8x8 shape should be equable with volume = to hypervolume? It’s really nice to get to the point where students are actually asking if they can use algebra to solve something. This is the perfect cue for “You’re right, there is a quicker way…” and demonstrating an algebraic approach. Usually, someone eventual points out that just trying rectangles isn’t very efficient or, more bluntly, calls it tedious. In year 8 (ages 12 and 13), we have a project called Equable Shapes which starts off with trying to find a rectangle where the area and perimeter have the same value (ignoring units). Students often stumble across some through trying various shapes and are more successful if they are systematic in their approach. ![]() ![]() ![]() The purpose of the cookie is to determine if the users' browser supports cookies.Īdvertisement cookies are used to provide visitors with relevant ads and marketing campaigns. The purpose of this cookie is to synchronize the ID across many different Microsoft domains to enable user tracking. The cookie is set by embedded Microsoft scripts. Used by Microsoft as a unique identifier. It allows us to engage with a user that has previously visited our website. This is a Microsoft Bing Ads cookie and is used for tracking purposes. These cookies track visitors across websites and collect information to provide customized ads. 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Make your selection to view the full course details. Download it from Adobe.įind your ideal course listed below. If you don’t yet have the software you can get a free trial. Our training courses will ensure your success with this industry standard software. Learn to use Photoshop CC with us through our range of practical short courses. Being an AATC means we can guarantee you the best learning experience. ![]() Our classes run at our Adobe Authorised Training Centre in London. Photoshop CC has integration with the design tools in the Creative Cloud. But Photoshop has one key benefit that those other packages don’t have. There are rival image-editing applications available. Today’s Designers, Photographers and Marketers all rely on Photoshop. As well as its uses for photographic enhancements it is commonly used to process images for social media and the web. Photoshop remains the world’s leading image editing software. We deliver our courses in both online and classroom modes – but for quality assurance we never mix modes. Learn how to use this powerful application to it’s full potential. A Photoshop course at Platform will enable you to successfully edit any image. ![]() ![]() ![]() No one wants to read a book full of typos or plot holes, and no self-respecting author would publish an unedited draft anyway. This is a great way to break down your mental blocks and hear what can be improved in your writing.Įxamples of edits you can easily make yourself: fixing spelling and grammar mistakes, as well as rephrasing certain things. If you’re struggling to get through a chunk of editing, try reading passages out loud. Even correcting basic mechanical errors is better than nothing! Or you can hone your voice with better word choice. Maybe you can’t wrap your head around plot or character changes right now - but you can still work on the pacing of individual scenes. If this is too intimidating, skip to line edits. ![]() Does your plot follow a sensible structure, have a good number of plot points, and not seem too rushed at the end? Do your characters feel well-rounded, with compelling motivations driving them and dynamic interactions with others? Read through your entire book and take notes with big-picture elements in mind. This will give you the fresh eyes you need to consider your writing the way an editor would. Here are also a few pointers to get you started: Never edited a book before? Fear not - you can download this self-editing checklist below, and we’ve also written a step-by-step guide to how to edit a book to get you through it! That post contains detailed editing tips for every major story element like plot, characters, and conflict, as well as finer aspects like dialogue and descriptions. Yes, this is true whether you’re self-publishing or submitting your book to agents: either way, people will be reading it, judging it, and making decisions that impact its success. The greatest gift any author can give their manuscript is a thorough edit. Got a solid sense of the best publishing route for your book? Great! Now we’ll cover advice that every author should take into account, regardless of how they choose to publish. Pros and cons of three different publishing routes traditional publishing, we’ve summarized them in the table below. If you haven’t looked into it yet, check out the posts linked above! But for those who just want quick takeaways on self-publishing vs. This quiz should point you in the right direction, but at the end of the day, only you can determine which publishing path is right for you. Is self-publishing or traditional publishing right for you? ![]() ![]() ![]() But for this review i will be looking at the Pandora Box 18S Pro which was sent to me for review purposes by a company called Ploylab. There are many, and i mean MANY different variations of the Pandora Box out there. The main one being able to hook up to your TV or monitor and be graced with thousands upon thousands of retro games, all playable using true arcade sticks and buttons. There are so many of these home arcade machines available and they literally all do very similar things. The other option available to you for retro gaming is the Pandora Box (now this really is a jungle). ![]() As another reviewer likes to say it really is a Jungle out there, when it comes to Retro Gaming. You can even do this directly onto your Smart TV. This will range from buying a handheld with retro arcade emulators built-in such as the Anbernic RG351P or using one of the older handhelds such as the Sony PSP to put your own emulators on. Now you can go down different routes in this area, and if you just google retro gaming, you will be faced with many thousands of posts and sites showing you how to get many of the older platforms to play in the privacy of your own home. I really miss the urge of booting up an oldie Goldie game from the retro era. Moving 37 years on (try not to work my age out) and whilst i am still very much into gaming, owning the PS5, Xbox Series X, PS Vita, Nintendo Switch to name just a few gaming platforms. It was great fun, meeting up with my friends and dropping 10p pieces into the arcade machine (my favourite one was Gauntlet by the way). Whenever i think back to my childhood i remember visiting the local arcade on a weekend, when away with my parents at the caravan park. 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Also, we use electrostatic powder coating on our products for better durability and to be eco-friendly by not containing any solvent.Īlmost every locking option is available depending on our customer's locking preference for their purpose. ![]() Our products are available in almost all RAL colors and can be easily adapted to customers' themes. We offer an option to produce goods as non-assembled to reduce the volume while shipping with the video assistant the products can be installed under 5 minutes. We have a wide range of products on our portfolio, such as At Manutan, we do stock lockers which already have shelves, including our range of standard storage lockers, workwear lockers, workshop lockers and more- so feel free to browse our range if you would rather buy a locker with a built in shelf already.RMZ OFFICE specializes in sheet metal production of office furniture. Providing your storage lockers with shelves is a great way to give them extra space and utility, especially in areas like gym changing rooms, schools, workplaces and anywhere else where a person might want to store items within a locker separately. If you are storing heavier items on the shelf of your locker a third piece of wood can be drilled into the back of the locker to support the weight. Step 6: Now the shelf can be placed on top of the wood that has been drilled into the sides of the locker.Use a measuring tape to find the inside width of your locker. This will be the size of the inside of your locker. If not you need to cut your chosen material to the size needed for your shelf. Step 5: If you have a shelf prepared in the dimension of your locker you can move onto Step 6.Alternatively, if you don’t want to drill into your locker, you could use double sided adhesive pads to stick the wood into the locker, but be aware the shelf will not be able to support as much weight compared to screwing the wood in. ![]() Screw a screw through each drilled hole (from the outside of the locker, drilling into the wood inside the locker) & screw the piece of wood into place until it is tight. Step 4: Hold the wood (or if you have someone helping you ask them to) evenly against the side of the locker so that the holes you drilled are in the centre of the wood.This is what the shelf is going to rest upon so ideally they won’t be large. Step 3: Cut two pieces of wood to fit inside the locker walls.Go at least ¼ of an inch below the line to give way for the thickness of the material used on the shelf otherwise the shelf will sit above your original marking. Step 2: Now drill two holes on each side of the locker slightly below the line.Make sure that the mark is the same level around or your shelf will slant. Step 1: Inside your locker, mark the level that you want the shelf to go on both sides of the locker.To install a shelf into your locker you will need: the shelf, a drill, screws (or double sided adhesive pads), wood & measuring tape. ![]() |
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