Max riemelt privat9/6/2023 ![]() Therefore, Max Riemelt partner is not known. The actor is currently single, his starsign is Capricorn and he is now 39 years of age. Riemelt is a very private person who prefers to keeps his personal life away from the public and social media. He made his 0.8 million dollar fortune with Der Rote Kakadu, Die WelleMdchen, Freistatt and Mdchen. Max Riemelt Keywords: Max Riemelt, Max Riemelt wiki, Max Riemelt age, Max Riemelt birthday, Max Riemelt Actor, Musician,, Max Riemelt biography, Max Riemelt wikipedia, Max Riemelt imdb, Max Riemelt filmifeed. On 7-1-1984 Max Riemelt was born in Berlin, Germany. But while the actors fans are thrilled with the news, many people hold a very different opinion. Most searched terms about Max Riemelt on Google and Bing are Max Riemelt marriage, Max Riemelt age, Max Riemelt wiki, Max Riemelt photos, Max Riemelt lover, Max Riemelt instagram, Max Riemelt facebook, Max Riemelt family, Max Riemelt salary, Max Riemelt height, Max Riemelt bio, Max Riemelt income, Max Riemelt house, Max Riemelt latest news, Max Riemelt tiktok, Max Riemelt musicaly. According to a well-placed source, Max Riemelt is leading the race to become Time magazines Person of the Year in 2023.What is the age of Max Riemelt? As in 2023, Max Riemelt's age is 39 years.Tiene 37 años y es ciudadano de la República Alemana. Please be respectful to your fellows and do not post nudity or offensive material. Creció en Berlín Oriental y asistió a la Universidad de Berlín. Welcome This is a group for fans of Max Riemelt. ![]()
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![]() ![]() Logic would say that a next-gen ROAM is next (no intel) but I can’t see RIVAL being superseded this year with another tri-watch, maybe something else? Be that a revamped RIVAL or new ELEMNT bike computer. Personally speaking, I’ll be excited to see the next generation of Garmin MARQ althought I won’t be paying for that premium shell.Įdge 1040 Solar and 1040 were also interesting additions but not too exciting on the new features front.Īpart from that, I have no intel on Wahoo but am looking forward to ANYTHING new from them. We are currently seeing every Garmin CIQ 5-capable device getting that update So as of NOW it’s really more Garmin products that we are waiting on with the mish-mash of wellness/smart products much more likely to hit later in the year with the run-up to Christmas. Coros officially said something was coming from them but for later in the year. Q1/Q2.2022 was a nice start to the year as we saw lots from Garmin, Pacer Pro from Polar and the 5 Peak from Suunto not to mention Stages M200/L200 cycling computers that I’m enjoying very much. LAUNCHED: Garmin Edge 1040 with solar option.LAUNCHED: Stages Cycling M200 and L200 next-gen bike computers.LAUNCHED: Skagen Falster Gen 6 (Fossil, Wear OS).LAUNCHED: Garmin Quatix 7 (Water, yachts).LAUNCHED: Garmin Tactix 7 (Tactical, soldier).LAUNCHED: Fenix 7 series (January 18, 2022).LAUNCHED: Garmin Epix (Fenix 7X with lights!).LAUNCHED: Garmin Forerunner 955 and 955 Solar.LAUNCHED: Forerunner 255 & 255s plus music options.LAUNCHED: Garmin Explore 2 and Explore 2 Power Bundle.LAUNCHED: Fitbit Versa 4 and Sense 2 with LTE options (Inspire 3 as well).LAUNCHED: Venu SQ (Music, maybe LTE option too).LAUNCHED: Apple Watch 8, SE (2022) & ULTRA.EXPECTED: Edge 540 and 840 are now likely for 202 3.LEAKED: Garmin Forerunner 265 AMOLED (a 965 is also equivalent also highly likely).Here are headlines from recent months and likely headlines for the months to come: The full table of everything, past & future is towards the end of this post. So try not to give the makers too much of a hard time as you may often find separate releases of key features that either weren’t quite ready or simply a separate PR buzz was planned for them to occur later. Maybe the features haven’t changed too much sometimes but the watch or bike computer genuinely has. Key Trend: Most manufacturers release a new model that genuinely often has significantly improved hardware bits inside and out. There is still some sports watch excitement to come later in 2022 but Garmin has finished most of their launches – as usual, after the summer it’s the smartwatches we can look forward to. Fenix 7, Epix 2 and the Forerunner 955 have sold like hotcakes and we’ve already had new Polar and Suunto sports watches and new Stages cycling computers. Recent Highlights and the INBOUND QueueĢ022 has been great and there is more to come. Almost all of these new product ‘predictions’ will happenbut the precise timing will differ. Note that most info here is based on high-quality leaks, dual-sourced rumours and the extrapolation of past product release cycles, wider technological changes & their availability. If you are here for the first time and interested in ‘ future sports devices & feature sports tech developments‘ then this entire post and another discussing the future of individual features (also linked at the end)will be of interest. ![]() This frequently refreshed & super-detailed post shows which GPS Run, Bike and Triathlon sports devices are rumoured to be pending release, available NOW, discontinued or which are due to be superseded.Įlsewhere on the site, there are LOTS of detailed hands-on reviews on virtually allof the key run/tri watches and bike computers that you can BUY NOW. Sports Watch & Bike Computer Update – November 2022 ![]() Barnegat nj rainfall totals9/6/2023 ![]() ![]() That same day, the Port Authority of New York and New Jersey suspended incoming flights at the five metropolitan airports under its jurisdiction and the on Port Authority Trans Hudson (PATH) rapid transit system. New Jersey Transit rail, bus and light rail operations were suspended for Saturday, August 27, and Sunday, August 28. ![]() Governor Chris Christie declared a state of emergency on August 25, with President Obama reaffirming the declaration by August 27. Hurricane warnings ultimately covered 11 counties, with tropical storm warnings in another six counties. A day later, this was upgraded to a hurricane warning, including the northernmost portion of the coastline to the New York border. Accordingly, the agency issued a hurricane watch for the East Coast of the United States from the North Carolina/Virginia border to Sandy Hook in New Jersey. On August 25, the NHC predicted Irene would be over New Jersey within three days. Preparations A restaurant boards up in preparation for Irene in Ocean City, New JerseyĪs early as August 23, the National Hurricane Center (NHC) predicted that Hurricane Irene – then located over The Bahamas as a major hurricane – would be near New Jersey within five days as the storm moved around the subtropical ridge. Irene struck the state on August 28, and was initially reported to be the first hurricane to hit New Jersey since 1903 however, post-analysis downgraded Irene to a tropical storm at its landfall in the Little Egg Inlet. This made it the costliest disaster in the state's history, though this was dwarfed by Hurricane Sandy the following year. The effects of Hurricane Irene in New Jersey in 2011 included about $1 billion in damage to 200,000 homes and buildings. Part of the 2011 Atlantic hurricane season ![]() ![]() Satellite image of Hurricane Irene approaching New Jersey ![]() Valve stem on tire leaking9/5/2023 ![]() Inflate the tire based on the psi recommendations of the manufacturer. There are methods listed online to reseat the bead, but most of them are dangerous. If you don’t have access to a tire changer, it can be difficult. Be careful not to tear it during installation. Pull the new valve stem into place with the installer tool. ![]() You’ll also see the inner lip of the tip separate from the wheel.Īfter breaking the bead, grab your tool to remove the valve stem from the wheel. You should hear a popping or cracking sound as the bead breaks. Follow the instructions with the bead breaker for the best results. With a bead breaker, separate the bead of the tire from the wheel. Remove the core with your valve stem removal tool to release all the air. Set it flat on the ground, with the outer part of the wheel facing up. With the vehicle off the ground, you can take the wheel off. Carefully lower the vehicle down onto the jack stands. Instead, place the jack stands at appropriate spots below the vehicle to support its weight. It’s wise to have wheel chocks behind the wheels that remain on the ground.ĭon’t rely on the floor jack to support your vehicle. Place the floor jack under the vehicle and carefully lift it off the ground. The wheel will spin if you attempt to loosen them with the car already jacked up. With the wheel on the ground, loosening the lug nut is easier. If you have hubcaps on the wheel, these must be removed first. Make sure the parking brake is set so the car doesn’t move. Loosen the lug nuts with your vehicle on a level surface. Here’s a list of what you need to replace a valve stem. Otherwise, you may need to run to the auto parts store during repair. To complete any automotive repair job, you should gather your tools and supplies beforehand. ![]() If you still plan to replace the valve stem at home, there are a few steps to follow. To do the job right, you need specialized equipment. Most home mechanics should not attempt to replace valve stems on their own. Replacing a Valve Stem on a Tire: Step-by-Step You should also replace the valve stem if it starts leaking-even if the leak is tiny. If you notice that the stem has damage when you flex it, it may be time for a replacement. ![]() Check them during other tire maintenance, such as rotation or wheel alignment. Otherwise, inspect the valve stems regularly. For that reason, it’s always best to install new valve stems every time you get new tires. If it becomes damaged, it will leak air at varying rates. Over time, the rubber of the valve stem can crack and dry out. Shop now for tire valve stems and caps Does Your Tire Valve Stem Need to Be Replaced? TPMS is installed on most vehicles from the 2007 model year and newer. Most sensors use the valve stems to add and remove the air, but the construction is slightly different to integrate the sensor. The construction of the valve stem is slightly different with a tire pressure monitoring system (TPMS). They extend the length of the stem by up to two inches. These metal or nylon extensions are needed if wheel covers are added to the vehicle. The spring-loaded pin on the core is moveable, allowing air to be added or removed when depressed properly. It keeps the pressure inside the tire where it can’t escape. ![]() This is the primary seal inside the stem. A missing cap shouldn’t cause the air to escape, but you still want to replace it to prevent damage to the valve core. Valve stem caps can be made from plastic or metal depending on the application. The cap keeps moisture and dirt from getting inside. Here’s what each part of the valve stem does: While there are different valve stems, they all operate the same, helping maintain proper air pressure within the tire. Valve stems are installed on pneumatic tires of all sizes, even bicycles. While it lets air in, it should also prevent it from escaping. It is a one-way pathway to transfer the air pressure into the tire chamber. The valve stem is the small tube in the rim that allows you to add air. Tire stem caps, cores, and stems are sold cheaply in bulk. ![]() ![]() By playing Heartland, players would also receive rewards in Tom Clancy's The Division 2 and the mobile game Tom Clancy's The Division Resurgence. An open beta would be released prior to the game's official launch. It is set to be released for PlayStation 4, PlayStation 5, Windows, Xbox One, Xbox Series X and Series S, and Amazon Luna. ![]() The game was officially announced in May 2021. According to Keith Edwards, the game's creative director, Heartland will feature "streamlined survival gameplay". Red Storm Entertainment led the development of the free-to-play title, while RedLynx and Ubisoft Romania provided assistance. The artificial intelligence of the enemies in the game will be more alert at night. The game also features a day-night cycle. Players need to use breathing filters in order to access these areas, but the loot they will receive will be much more valuable. The location of the Contamination Zones in the game is always shifting. ![]() Contamination Zones replace the Dark Zones from previous games. For instance, players need to manage their hydration level. In addition, the game incorporate elements from survival games. At launch, the game features three character classes (weapons expert, medic, or survivalist) and six playable characters. The second mode is named Excursion Operations, a player-versus-environment mode in which players can complete missions and collect loot/gear. In this mode, players must fend off against agents from a rogue factions known as the Vultures while surviving a virus. The first mode, "Storm Operations", is a player-versus-player-versus-environment mode which can support a maximum of 45 players. Unlike the first two games in the series, Heartland is set in rural America and the fictional town of Silver Creek. ![]() Heartland is set to be released for PlayStation 4, PlayStation 5, Windows, Xbox One, Xbox Series X and Series S, and Amazon Luna. It is a standalone spin-off set in The Division universe. Tom Clancy's The Division Heartland is an upcoming free-to-play third person shooter action game developed by Red Storm Entertainment and published by Ubisoft. The game will be made available in 2021-22 on PC, consoles, and cloud.Video game Tom Clancy's The Division Heartland Heartland is a standalone game that doesn’t require previous experience with the series but will provide an all new perspective on the universe in a new setting. Having worked on Tom Clancy games since 1997, its extensive experience across numerous genres and games, most recently The Division and The Division 2, makes Red Storm a perfect fit for this project. Today, we’re pleased to share that Tom Clancy’s The Division Heartland, a free-to-play game set in The Division universe, is in development at our Red Storm studio. Ubisoft previously explained the game as follows: It’s unclear, currently, when players will be invited to start testing the game or if Stadia players will have access to demos at the same time as other platforms. ![]() Further adding fuel to the fire is the company’s latest game announcements around E3, which includes bringing major titles such as Rainbow Six Extraction and Avatar: Frontiers of Pandora to Stadia. While Ubisoft has never officially confirmed that The Division: Heartland would be making its way to Stadia, only to “cloud,” this page seemingly confirms it. PlayStation, Xbox, and PC are all listed as options, but the list is finished off with Google Stadia. It’s been three years since the release of The Division 2 and Ubisoft still hasn’t revealed any The Division Heartland gameplay details, or anything much on the announced spin-off at all. Ubisoft’s registration page offers interested players a “chance to playtest a brand new free-to-play experience set in The Division’s universe” on their platform of choice. A beta signup page for the free-to-play game The Division: Heartland seemingly confirms the game will launch on Google Stadia. As Ubisoft continues to add more titles to Stadia, it seems yet another has just been confirmed. ![]() U boat thousands of feet review9/5/2023 ![]() I’ve owned a U-Boat Flightdeck Chrono in the past, but this ceramic dial with the cut-out arabics and markers along with the Ceramic case is really calling to me… oversized 50mm case, with little attention to movement detail are big minuses against the watch, but I can’t deny that the combination is enticing. Ceramic, while its a harder to scratch material, could totaly shatter or fracture if knocked hard enough, like the IWC Ceramic Pilot article that many have read. Is it wrong for me to secretly covet another U-Boat? I’ve always kind of liked the idea of a black watch, but PVD is a definate no-no for me, since it can come off easily and can’t be fixed. It has a lug width of 24mm, and I have a lot of 24mm straps! Perfect.Ĭase Material: Stainless Steel PVD Coating It cries for something stronger… perhaps digging into my Panerai strap drawer will yield some positive results. ![]() I find that the strap is too thin and weak for such a big and bold watch head. One of my problems with this watch is the strap to head size ratio. For a square 50mm watch, it wears pretty good. Handy!Īnd finally the all important wrist shot as seen on my 6.75″ wrist. The back interesting, and though you barely see it in the pics, it has the Overall Diameter (50mm), Water Resistance (100m), Made in Italy, Steel Type (316L), and the movement (ETA 7750) inscribed on the back in case you forget. The movement is with little decoration, and is mostly bone stock aside from the signed rotor. The serial numbering for the model is also etched in here next to the viewing glass.Īnd there is the exhibition back, which is tinted, but still clear enough to see the ETA/Valjoux 7750 chronograph movement inside. Here’s a shot of that side-mounted sapphire exhibition window that lets you observe the side of the movement, which also has the U-Boat logo and some horizontal lines printed on the inside of the glass. ![]() Also, it means sometimes you forget and start to put the watch on backwards, which keeps your mornings interesting. While its harder to adjust, I just find it adds a subtle layer of interest to the watch. ![]() Pushers and crown are located on the left hand side of the watch, which is always a welcome change for me. The crown is the pushdown type, but still allows the watch to achieve 100m water resistance. However, put all that into a 50mm Square watch, and you have about as much elegance as a bull in a china shop. The black matte sandwich dial and PVD coated stainless steel case are all features that would generally minimize attention. Sometimes I find certain watches just look too much like Fashion Watches and that’s just not the statement I want to make.įrom an overall design perspective, the watch is not loud, and it features a fairly balanced overall appearance. The watch also stands out and can sometimes skirt the line between Fashion Watch and Horological Timepiece… and that is often the predicament I find myself in when selecting the timepiece of the day. It features a gigantic 50mm case, and is quite thick, affording the wearer a lot of wrist presence. The Thousands of Feet Chronograph is a limited edition, much more rare and limited in production than the regular Thousands of Feet which is a manual winding model. Think of U-Boat meets Bell & Ross, and then juice it up with some steroids and you have it. The flightdeck was big and obnoxious, but the Thousands of Feet is EVEN MORE so. ![]() the U-Boat Thousands of Feet Chronograph LE. Dodo Leather Handmade Watch Straps Review ![]() ![]() ![]() When you attempt to remove the spark plug, corrosion on the outer portion of the ground electrode and carbon buildup between the plug and head can bind the plug. This is necessary because the plug extends deep into the cylinder head so it can be positioned near the center of the combustion chamber. 30, 2007, Ford used a two-piece spark plug that has a long steel tubular ground electrode around the center electrode. One of the major issues has been that of changing the spark plugs on 2005 to early 2008 Mustangs, 2006 to early 2008 Explorer and Mountaineer, and 2007 to early 2008 Explorer Sport Trac with the 4.6L V8. Like any engine family, there have been a number of service issues with the 4.6L engines over the years: It does not mean Ford designed the engines so there would be a lot of parts commonality between all the 4.6L engine variants. Nothing could be further from the truth. The word “modular” only means that the tooling Ford uses on its production lines is modularized (standardized) so that it can be used to produce engines with similar configurations and geometry. The implication is that the engines share a lot in common and that parts are interchangeable. The improvements bumped the power output up to 300 hp (compared to 190 to 250 hp for the older 2V 4.6L V8s).Īll of these 4.6L engines are often referred to as Ford “modular” V8s. ![]() Major changes included the use of two intake valves and one exhaust valve per cylinder to increase air velocity, torque and power, variable cam timing and a weight-saving aluminum cylinder block. In 2005, Ford introduced a three-valve (3V) SOHC version of the 4.6L for the newly restyled retro-look Mustang. The 4V engine continued in production through 2004 in the Mustang. In 1999, the head ports on the 4V engine were revised for better airflow, and in 2003-’04 a special four-bolt main cast iron block was produced exclusively for the Mustang SVT Cobra. In 1993, a four-valves-per-cylinder (4V) high output version of the 4.6L V8 with dual overhead cams and an aluminum block was produced for the Lincoln Mark VIII. There were also variations in camshafts, front timing covers, cam drives and timing chain guides used in the 2V engines. The “Not Power Improved” (NPI) oval port heads also remained in production through 2000 in the Romeo plant. The Romeo plant added the PI square port heads in 2001. In 1999, 2V engines destined for Mustangs got a Performance Improved (PI) package that included revised square port Windsor heads and deeper dished pistons. Over the years, there have been numerous variants, changes and improvements in the 4.6L V8. The engine blocks are slightly different, the cams and cam gears are different, the crankshafts are different, and the heads and valve covers are different.įor example, Ford began producing the Triton overhead camshaft (OHC) engine in 1997 in V8 and V10 configurations, which was installed exclusively in its trucks and SUVs (not cars). The two-valve (2V) 4.6L was the first production version, built in two different Ford plants (Romeo and Windsor).įor some reason known only to Ford’s engineers, the Romeo and Windsor engines were not |identical, which means you have to know which engine you have if you are rebuilding it or replacing internal parts. There are millions of these engines on the road and there are a lot of different versions of the engine including two-valve and three-valve single overhead cam (SOHC) engines, and four-valve dual overhead cam (DOHC) engines. Ford’s overhead cam 4.6L V8 engine has been in production since 1991 and has been used in a wide variety of Ford, Lincoln and Mercury models from Crown Victorias and Mustangs to F-150s and Expeditions. ![]() Easy rename shortcut mac9/5/2023 ![]() ![]() Move the cursor to the location of the last revision made before the document was last closed. Move the cursor to the location of the previous revision. Move the cursor to the beginning of the document. Move the cursor to the end of the document. Move the cursor to the top of the previous page. Move the cursor to the top of the next page. Move the cursor by scrolling the document view down by one screen. Move the cursor by scrolling the document view up by one screen. Move the cursor to the bottom of the screen. Move the cursor to the top of the screen. Move the cursor to the beginning the current line. Move the cursor to the end of the current line. Move to the submenu when a main menu is open or selected. Or, on a Windows keyboard, the Windows Menu key (between the right Alt and right Ctrl keys) When a menu or submenu is open, move to the next command. Show the tooltip for the ribbon element currently in focus. Move between command groupings on the ribbon. Move the focus to commands on the ribbon. To move to a different tab, use access keys or the arrow keys. Select the active tab on the ribbon and activate the access keys.Īlt or F10. Top of Page Work in the ribbon with the keyboard You can also set the zoom magnification and manage multiple document windows. Open the View tab to choose a document view or mode, such as Read Mode or Outline view. Open the Review tab to use Spell Check, set proofing languages, and to track and review changes to your document. Open the Mailings tab to manage Mail Merge tasks and to work with envelopes and labels. Open the References tab to add a table of contents, footnotes, or a table of citations. Open the Layout tab to work with page margins, page orientation, indentation, and spacing. ![]() Open the Design tab to use themes, colors, and effects, such as page borders. Open the Insert tab to insert tables, pictures and shapes, headers, or text boxes. Open the Home tab to use common formatting commands, paragraph styles, and the Find tool. Open the File page to use Backstage view. Move to the Tell Me or Search field on the Ribbon to search for assistance or Help content. Additional tabs might appear depending on your selection in the document. To go directly to a tab on the ribbon, press one of the following access keys. If you don't know the sequence, press Esc and use Key Tips instead. If you know the entire key sequence, go ahead and use it. A notification pops up saying you're using an access key from an earlier version of Microsoft 365. For example, press Alt, and then press one of the old menu keys E (Edit), V (View), I (Insert), and so on. However, you need to know the full shortcut. In Office 2013 and Office 2010, most of the old Alt key menu shortcuts still work, too. Both offer a largely similar experience, but some options and search results can vary. Press Alt again to see Key Tips for the options for the selected tab.ĭepending on the version of Microsoft 365 you are using, the Search text field at the top of the app window might be called Tell Me instead. For example, press Alt+H to open the Home tab, and Alt+Q to move to the Tell Me or Search field. ![]() You can combine the Key Tips letters with the Alt key to make shortcuts called Access Keys for the ribbon options. Note: Add-ins and other programs can add new tabs to the ribbon and might provide access keys for those tabs. Press the Alt key to display the ribbon shortcuts, called Key Tips, as letters in small images next to the tabs and options as shown in the image below. For example, on the Home tab, the Font group includes the Font Color option. The ribbon groups related options on tabs. Use the arrow keys to select Close, and then press Enter. Press F6 until the task pane is selected. This table shows the most frequently used shortcuts in Microsoft Word.Ĭut the selected content to the Clipboard.Ĭopy the selected content to the Clipboard.Īlt+W, Q, then use the Tab key in the Zoom dialog box to go to the value you want. ![]() Work with references, citations, and indexing Get these keyboard shortcuts in a Word document at this link: Word 2016 for Windows keyboard shortcuts. For more information about the features available in Word Starter, go to Word features that are not fully supported in Word Starter. If you are using Microsoft Word Starter, be aware that not all the features listed for Word are supported in Word Starter. For instructions, go to Create or run a macro or Use a screen reader to create a macro in Word. If an action that you use often does not have a shortcut key, you can record a macro to create one. Press Ctrl+F, and then type your search words. To quickly find a shortcut in this article, you can use Search. ![]() Tesseract 4d shapes9/5/2023 ![]() This button provides the links to Wikipedia articles describing the polytopes. If you switch this setting to "Mark", one of the cells or faces of each polytope will be marked in your selected color. When this setting is switched to "Sync", the light sources revolve in synchronization with the rotation of polytopes. You can choose which to use to illuminate the polytopes. This button toggles between colorful and white light. Swiping left and right switches between 4D and 3D. Swipe the screen of your device up or down with three fingers to see another polytope of the same dimensions. ![]() These gestures are only available for the 4D polytopes. Pinching in and out with two fingers starts rotation between the hidden fourth spatial axis and the other axes. Buttons on the screen offer some effect options that can be applied to the polytopes, which helps you understand four-dimensional space.įlick the polytope currently displayed with one finger and it will rotate in our usual three-dimensional space. Simple touch gestures let you intuitively manipulate those geometric figures. While they are mainly self-explanatory and just involve dragging values to increase or decrease them, there are some notable features of some transformations.Have you ever wanted to see and touch four-dimensional objects? 4D Polytopes is a real-time visualization app that renders the four-dimensional convex regular polytopes such as the tesseract as well as the three-dimensional ones known as the Platonic solids. There are multiple tabs in the transformation window to modify each transformation separately. This is the exact matrix that is sent to the GPU along with the view and projection matrices from the cameras. In the transformation window, the user can specify different types of transformations to be applied to the object - the product of all these transformations can be seen in the matrix at the top of the window. While this project doesn’t include any theories about the meaning of the fourth dimension, one way to think about it is looking at the same object but from a different point in time - it would not move, but simply changing the time of observation can impact an object one is looking at. While moving the 3D camera acts as you’d expect, moving and turning the 4D camera can appear to twist and deform the object without necessarily moving it. Getting all of these steps correct is difficult as they cannot be worked on independently and tested easily - it is the sum of these steps that achieve even the simplest result. Next, a projection matrix is used to project vertices into the third dimension, where it is then perceived by a separate, 3D camera and then finally projected to 2D for rendering on screen. A 4D camera can be used to view the fourth dimension from various positions and angles and is just as useful and important as a 3D camera in any 3D game. For this project, I want to perform projections and other transformations using GPU shaders like you would for an ordinary game. The tesseract is a 4D hypercube and is suitable as the main polytope for this project. In order to see a 4D object, a 4D object needs to be created. Changing the settings of the 4D camera will also change the appearance of the object - as an exercise to the reader, I highly recommend translating the shape and then moving the 4D camera to correct it! How does it work? Perceiving the 4th dimension ![]() Pick a polytope from the menubar in the top left and then use the transformation window to manipulate it. Hold down the right-mouse-button and move the mouse to look around the simulation (much like an FPS game). Use WASD to move the camera with space and c to go upwards and downwards. This was really interesting to make as GLSL did not support 5x5 matrices used to manipulate the 4th dimension, and so I had to essentially write matrix mathematics in the shader code in order to get this to work! How do I use it? ![]() See report.pdf for a full writeup about what this project is and how it was made. This project is an interactive simulation for visualising 4D geometry. 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