Oct 15, 2019 · 15 October 2019. This robotic hand solved a Rubik’s cube in around 3 minutes. OpenAI. Artificial intelligence guiding a robotic limb can now solve a Rubik’s cube one-handed. The task requires ... Rubik's cube is an interesting 3-dimensional puzzle that challenges your spatial imagination and memory. Usually, the goal is to arrange the cube so that each side is a solid color, as shown in Figure 1. However, in this project, you'll be trying to figure out ways of making geometrical patterns with Rubik's Cube.Thanks guys for 50,000 subscribers!!!!!I hope you like my impossible Rubik's Cube bottles! My poll: http://bit.ly/RedKBPollMy facebook: http://facebook.com/...View your 2x2 Rubik’s Cube from the top. Orient your cube so the white face you solved is at the bottom. Check for all the yellow corner pieces remaining. [4] 2. If you only see 1 yellow corner on the top face, use 1 algorithm. Use (R U2) (R’ U’R’ U’R’) if you see 1 yellow piece in the right hand corner.Oct 2, 2021 · Cool 3x3 Speed Cube Patterns With Notations. 1. Checkerboard -. This is the most common pattern and this makes every side of cube looks like X. U2 D2 F2 B2 L2 R2. 2. Cube in a cube pattern -. Looks like a cube is in a cube! F L F U’ R U F2 L2 U’ L’ B D’ B’ L2 U. The patent approval finally came in early 1977 and the first Cubes appeared at the end of 1977. By this time, Erno Rubik was married. Two other people applied for similar patents at about the same time as Rubik. Terutoshi Ishige applied a year after Rubik, for a Japanese patent on a very similar cube. An American, Larry Nichols, patented a cube ...Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together. Get your Rubik's cube here: https://goo.gl/BEo1W5 Made with Blender 2.73 Music: "Plain Truth" by Gunar Olsen (youtube audio library) #rubiks #rubikscube #b3d The 1x1x1 cube is a cube that is always in the solved state. It cannot be turned in any way because it is only one little cubie. The cube's only purposes are for fun and collecting, although some people will correctly say that it is the hardest cube to solve. The current unofficial World Record for the 1x1x1 Rubik's Cube is 0.001 seconds by both Kewbix and Mr Cube. The cube is made from a ... Every cubelet in a Rubik's cube contains a unique combination of either 2 or 3 different colored stickers. Because of this, for each cubelet, we can simply look for the correct spot on the diagram. Actually solving the cube is unnecessary (although for what it's worth, L F' R2 U2 F2 U' B2 R2 D L B' R2 U2 L2 B2 D F2 L2 R2 U F2 will solve it).Jun 13, 2020 · How to build a LEGO Rubik's Cube with your LEGO pieces!BUY LEGO to support the channel using these links (affiliate):LEGO SHOP 🇺🇸 https://bit.ly/31O5UxUL... You can buy some of the cubes from this video here:Moyu RS3M 2020: https://bit.ly/3yWYxkuGAN 12 Maglev: https://bit.ly/3yWYyF4Check out our current sale: htt...Use code TINGMAN for a discount off every order at Daily Puzzles!http://dailypuzzles.com.au/tingmanAlgorithm: U’ L’ U’ F’ R2 B’ R F U B2 U B’ L U’ F U R ...The Mathematical Mystery Behind Rubik’s Cube. Forty-three quintillion. Or more precisely, 43,252,003,274,489,856,000. This impressive figure is the number of tile combinations possible in the Rubik’s Cube (also known as the Magic Cube), the most famous puzzle of all times. Bearing this data point in mind, it is not surprising that the goal ...Put in the edges around the equator of the cube. For the last 3rd put the remaining pieces in except one edge. REMEMBER, edge pieces go in easiest when the layer is turned 45 degrees. To put the final edge in turn the layer 45 degrees and wedge one side under the center piece. Then press down and inward towards the center of the cube. Bounds on Solving a Rubik’s Cube The number of possible permutations of the squares on a Rubik’s cube seems daunting. There are 8 corner pieces that can be arranged in 8! ways, each of which can be arranged in 3 orientations, giving 38 possibilities for each permutation of the corner pieces. There are 12 edge pieces which can be arranged in ...Cube in a Cube in a Cube in a Cube - 4x4 Rubik’s cube Pattern Tutorial Here is our new video of Rubik’s cube 4x4 Cube in a cube in a cube in a cube Tutorial.Sep 1, 2023 · View your 2x2 Rubik’s Cube from the top. Orient your cube so the white face you solved is at the bottom. Check for all the yellow corner pieces remaining. [4] 2. If you only see 1 yellow corner on the top face, use 1 algorithm. Use (R U2) (R’ U’R’ U’R’) if you see 1 yellow piece in the right hand corner. Solving the First Layer. 1. Choose a face. As a beginner, choosing to begin with the yellow-colored face is most common and highly recommended. Although you can solve the Pyraminx by starting with any color, yellow is highly recommended as it is similar to the white face of the Rubik's cube.For today's challenge, I am going to solve a 3x3x3 Rubik's cube that is missing one of the corner pieces!Buy SpeedCubes here: http://www.speedcubeshop.com?rf... Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together.Get your Rubik's cube...The 1x1x1 cube is a cube that is always in the solved state. It cannot be turned in any way because it is only one little cubie. The cube's only purposes are for fun and collecting, although some people will correctly say that it is the hardest cube to solve. The current unofficial World Record for the 1x1x1 Rubik's Cube is 0.001 seconds by both Kewbix and Mr Cube. The cube is made from a ...Play with the 3D Rubik's Cube simulator online. Press the scramble button and try to figure out the solution and practice. Use your keyboard: the buttons on your keyboard are assigned to each face, according to the notation. Face: F R U B L D. Slice: M E S. Whole: X Y Z. Uppercase letters do clockwise, while lowercase keys make inverse rotations.The first book by the reclusive inventor of the world’s most iconic puzzle, the Rubik's Cube. Erno Rubik inspires us with what he’s learned in a lifetime of creating, curiosity and discovery ...We just received our first order from Inside Weather yesterday, and we hate it. We ordered a dining table, coffee table, and a side board, and got the dining and coffee tables last night. The packaging on both was all torn up. I opened the dining room table, and one of the leaves was damaged. 15 October 2019. This robotic hand solved a Rubik’s cube in around 3 minutes. OpenAI. Artificial intelligence guiding a robotic limb can now solve a Rubik’s cube one-handed. The task requires ...What's Inside a Rubik's Cube XtraRange 121K subscribers Subscribe 258 views 10 months ago #xtrarangenature This video shows the inside parts of a Rubik's cube. I opened it carefully and... For today's challenge, I am going to solve a 3x3x3 Rubik's cube that is missing one of the corner pieces!Buy SpeedCubes here: http://www.speedcubeshop.com?rf... Oct 15, 2019 · 15 October 2019. This robotic hand solved a Rubik’s cube in around 3 minutes. OpenAI. Artificial intelligence guiding a robotic limb can now solve a Rubik’s cube one-handed. The task requires ... I hope this 5x5 Rubiks cube assembly tutorial video was helpful to you. I’ve been asked to make this a series and I hope you’re able to follow along. If you ...Step 8: Drill and Fill the 6 Center Face Pieces. These are the pieces that attach to the 6 faces of the central 'axle' piece. They require all but one side to be drilled and filled with a magnet. These untouched sides will be the center facelets on each of the 6 faces of the cube. Jan 26, 2018 · WHAT'S INSIDE A RUBIK'S CUBE?! - YouTube 0:00 / 2:05 Intro WHAT'S INSIDE A RUBIK'S CUBE?! Mad Scientist 98K subscribers Subscribe 7.1K views 5 years ago What is inside of a 3x3 Rubik's... It's Gmod TTT! In Garry's Mod TTT today, we're inside a Rubik's cube. TTT SHIRT: https://yogsca.st/LewisTTT Gmod Playlist: https://www.youtube.com/watch?v=... REDDIT https://www.reddit.com/r/dopeornopesubmissionsHigh Steaks https://www.youtube.com/watch?v=_ZUr3kaz5wIIT'S PUZZLE TIME. Today we are looking throug...Cube in this video: https://amzn.to/348F9U7This video tutorial shows how to make a Cube in a Cube in a Cube patternCheck out more at https://www.youtube.com/...Cube in this video: https://amzn.to/348F9U7This video tutorial shows how to make a Cube in a Cube in a Cube patternCheck out more at https://www.youtube.com/...Play with the 3D Rubik's Cube simulator online. Press the scramble button and try to figure out the solution and practice. Use your keyboard: the buttons on your keyboard are assigned to each face, according to the notation. Face: F R U B L D. Slice: M E S. Whole: X Y Z. Uppercase letters do clockwise, while lowercase keys make inverse rotations. Update: New and improved version. Faster, better, and supports more devices. Solving the Rubik's Mini Cube (2x2x2) may sometimes seem like an easy task comparing to solving its predecessor the original Rubik's Cube (3x3x3), however it can still pose a decent challenge for most of us - especially when trying to solve it in the shortest possible way.Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together. Get your Rubik's cube here: https://goo.gl/BEo1W5. Made with Blender 2.73. Music: "Plain Truth" by Gunar Olsen (youtube audio library) #rubiks #rubikscube #b3d. The 2x2 Rubik's Cube has an interesting mechanism on the inside. Let's see how it works!Get your 2x2 Rubik's Cube here: https://amzn.to/2ULwsqXOther puzzles...Ian Scheffler in Los Angeles. Fri 2 May 2014 11.00 EDT. Last modified on Fri 4 Sep 2020 12.56 EDT. O n a low stage, a young man examined a Rubik’s Cube. Around him, an audience stood ...Lubricating Your Cube. 1. Turn the top layer 45 degrees. Take your stiff Rubik's cube and rotate the top layer until it is halfway between two sides. 2. Pry out an edge piece of the top row. Wedge your thumb underneath one of the top layer's edge pieces (not a corner). Lift your thumb until the piece pops out.What's Inside a Rubik's Cube XtraRange 121K subscribers Subscribe 258 views 10 months ago #xtrarangenature This video shows the inside parts of a Rubik's cube. I opened it carefully and...Bounds on Solving a Rubik’s Cube The number of possible permutations of the squares on a Rubik’s cube seems daunting. There are 8 corner pieces that can be arranged in 8! ways, each of which can be arranged in 3 orientations, giving 38 possibilities for each permutation of the corner pieces. There are 12 edge pieces which can be arranged in ... Shop our Rubik's MINI 2x2 range here:UK: https://bit.ly/2F62mLQEU: https://bit.ly/3lP8zgiUSA: https://bit.ly/2F0UcVrBe a solver of tomorrow and check out our...Jun 13, 2020 · How to build a LEGO Rubik's Cube with your LEGO pieces!BUY LEGO to support the channel using these links (affiliate):LEGO SHOP 🇺🇸 https://bit.ly/31O5UxUL... Jul 13, 2020 · The Mathematical Mystery Behind Rubik’s Cube. Forty-three quintillion. Or more precisely, 43,252,003,274,489,856,000. This impressive figure is the number of tile combinations possible in the Rubik’s Cube (also known as the Magic Cube), the most famous puzzle of all times. Bearing this data point in mind, it is not surprising that the goal ... Apr 9, 2023 · 1. Familiarize yourself with the Rubik's Cube. Recognize where each of the colors lie on the completed cube. [1] Notice (going clockwise) the Red, White, and Blue faces of the cube are on one side and the Green, Orange, and Yellow faces are on another. This is the standard setup for newer, standard cubes. Rubik's Cube in a Wineyard. Amidst the rolling green countryside in South Australia, a Rubik's Cube of a building rises above the vineyards. Just 45 minutes outside Adelaide, the family-owned, small-batch d'Arenberg Winery has been in McLaren Vale since 1912.Cube in a Cube in a Cube in a Cube - 4x4 Rubik’s cube Pattern Tutorial Here is our new video of Rubik’s cube 4x4 Cube in a cube in a cube in a cube Tutorial.Learning to solve a Rubik's Cube can be easy!Where I get my cubes:1x1 https://speedcubeshop.com/products/1x1-speed-cube3x3 https://speedcubeshop.com/prod...Subscribe so that I never sing opera again.I got ALL of these cubes from http://dailypuzzles.com.au, where you can get a 10% discount if you use code "TINGMA...Discover short videos related to Inside the Rubiks Cube on TikTok. Watch popular content from the following creators: What’s Inside(@whatsinside), Jack Cai(@jack3bld), WE ARE GAINING SO FAST!!!!(@_fidget_with_us___), CuberChris(@cuberchrisofficial), Kody Hildebrand(@hildebrandmagic) . Explore the latest videos from hashtags: #insidetherainbow, #rubikscubedesigns . Solving the First Layer. 1. Choose a face. As a beginner, choosing to begin with the yellow-colored face is most common and highly recommended. Although you can solve the Pyraminx by starting with any color, yellow is highly recommended as it is similar to the white face of the Rubik's cube.Edward Snowden can solve a Rubik's cube in 60 seconds The movie Snowden (2016) features a Rubik's cube. In the 2016 movie Snowden, the NSA contractor hides a jump drive containing secret files inside a Rubik's cube, then talks his way past security to let the cube pass through the detectors without notice. SpeedSolving.com is a community focused on speed-solving puzzles, particularly the Rubik’s cube and alike. Created in 2006, the speedcubing community has grown from just a few to over 45,000 people that make up the community today. Competitions and unofficial meetups are organized all over the world on a weekly basis.Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together. Get your Rubik's cube here: https://goo.gl/BEo1W5. Made with Blender 2.73. Music: "Plain Truth" by Gunar Olsen (youtube audio library) #rubiks #rubikscube #b3d. Put in the edges around the equator of the cube. For the last 3rd put the remaining pieces in except one edge. REMEMBER, edge pieces go in easiest when the layer is turned 45 degrees. To put the final edge in turn the layer 45 degrees and wedge one side under the center piece. Then press down and inward towards the center of the cube. Void Cube. The Void Cube was invented by Katsuhiko Okamoto and it is similar to the the 3x3x3 Rubik's Cube, but it has no centre pieces just holes so you can look through it. The typical centre core which holds together the Magic Cube is missing. Because of its mechanism it doesn't move so smoothly like a normal Rubik's Cube and it doesn't cut ... The old design is durable, cost efficient and easy to disassemble. Also, it makes the mediocrity of the Rubik's brand cube even more inexcusable because this is not even the original design. Either stick with the simple design from the 1980s or redesign it to be a good speed cube, instead of redesigning the core for no reason.Repeat this three times. Keep the white cube in front of you and again twist the front of it 180 degrees. Turn the right side, then the front face, and the right side one more time. Always keep the white face in front of you by making sure the center cube of the face is white. 4. Look at the top of your Rubik’s cube.We cut open, smashed open and pulled open 4 different Rubik’s Cubes to see what they are made of! This was really fun and interesting. Thank you to our many subscribers for suggesting this video...So this is my first time messing around with 3d, and i learned a LOT and had a lot of fun making this - - i hope i can get a hold of a copy of cinema for my ...3x3 Cube Patterns. Start with a fully solved cube in any orientation. Each orientation will give you a different coloured pattern. If you are new to algorithm notation click here to learn how to read it. Cube Patterns. Simple checkered pattern. M2 E2 S2 (or move every other side on larger cubes) Flower Pattern. E M E' M' (move multiple internal pieces for larger cubes) Advanced checkered pattern. F B2 R' D2 (B R U D' R L' D' F') R2 D F2 B'. Cube in a cube. - Outside algorithm - (R2 F2 U2) R D2 L' (B' U)3x L D2 R. Void Cube. The Void Cube was invented by Katsuhiko Okamoto and it is similar to the the 3x3x3 Rubik's Cube, but it has no centre pieces just holes so you can look through it. The typical centre core which holds together the Magic Cube is missing. Because of its mechanism it doesn't move so smoothly like a normal Rubik's Cube and it doesn't cut ...Sep 16, 2016 · The movie shows him downloading files onto an SD card and then hiding it inside a Rubik’s cube. He then avoids running the Rubik’s cube through security by tossing it to a security guard, who ... The 1x1x1 has a fairly complex notation due to its reliance on rotations to solve, so make sure you read each a few times through to ensure understanding: x – Rotates the entire puzzle by bringing the top face to the front. x’ – Rotates the entire puzzle by bringing the top face to the back. y – Brings the face on the right to the front.Jun 13, 2020 · How to build a LEGO Rubik's Cube with your LEGO pieces!BUY LEGO to support the channel using these links (affiliate):LEGO SHOP 🇺🇸 https://bit.ly/31O5UxUL... Therefore, the total number of possible permutations of the Rubik’s cube is: (1/2) * (8! x 3⁷) * (12! x 2¹¹) = 43,252,003,274,489,856,000. 43 quintillion 252 quadrillion 3 trillion 274 ...Oct 15, 2019 · 15 October 2019. This robotic hand solved a Rubik’s cube in around 3 minutes. OpenAI. Artificial intelligence guiding a robotic limb can now solve a Rubik’s cube one-handed. The task requires ... We just received our first order from Inside Weather yesterday, and we hate it. We ordered a dining table, coffee table, and a side board, and got the dining and coffee tables last night. The packaging on both was all torn up. I opened the dining room table, and one of the leaves was damaged. Finding Solutions. Welcome to the solutions guide! Your one-stop spot for tips, trick, and solutions to everything Rubik’s! Below you’ll find helpful guides to the most popular Rubik’s puzzles. Click on a guide to twist, turn, and learn! Apply the inverse rotations of the backward algorithm to revert the cube to the solved cube (or the initial position). Let's take a short algorithm for the demonstration, the Cross: U F B’ L2 U2 L2 F’ B U2 L2 U. Written backwards: U L2 U2 B F’ L2 U2 L2 B’ F U. Replace the moves with the inverse rotations: U’ L2 U2 B’ F L2 U2 L2 B F ...Dec 1, 2020 · Shawn Farquhar, two-time world champion of magic and two-time Penn & Teller Fool us winner, teaches you how to make your own impossible bottle with a Rubik's... This video shows the process of taking apart and reassembling the 1x1 Rubik's Cube. Very handy for lubricating, curiosity, & cheating!Like to learn how to ac...Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together.Get your Rubik's cube...Jul 18, 2020 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... Jun 5, 2019 · Anything can be done if you focus really hard! In this time-lapse, I solve a 21x21x21 Rubik's Cube! My next goal will be the 31x31x31. If this video gains tr... This video shows the process of taking apart and reassembling the 1x1 Rubik's Cube. Very handy for lubricating, curiosity, & cheating!Like to learn how to ac...Sep 1, 2023 · View your 2x2 Rubik’s Cube from the top. Orient your cube so the white face you solved is at the bottom. Check for all the yellow corner pieces remaining. [4] 2. If you only see 1 yellow corner on the top face, use 1 algorithm. Use (R U2) (R’ U’R’ U’R’) if you see 1 yellow piece in the right hand corner. 2. Solving the tips and centers. The solution of the Pyraminx begins with turning the 4 corners ( A) to match the center pieces. Tthis is just a simple turn for each corner because the three sides of the center pieces ( B) are linked together. When the tips are OK, deep turn the puzzle to make the three center colors match on all faces.Put in the edges around the equator of the cube. For the last 3rd put the remaining pieces in except one edge. REMEMBER, edge pieces go in easiest when the layer is turned 45 degrees. To put the final edge in turn the layer 45 degrees and wedge one side under the center piece. Then press down and inward towards the center of the cube. May 2, 2014 · Ian Scheffler in Los Angeles. Fri 2 May 2014 11.00 EDT. Last modified on Fri 4 Sep 2020 12.56 EDT. O n a low stage, a young man examined a Rubik’s Cube. Around him, an audience stood ... Apply the inverse rotations of the backward algorithm to revert the cube to the solved cube (or the initial position). Let's take a short algorithm for the demonstration, the Cross: U F B’ L2 U2 L2 F’ B U2 L2 U. Written backwards: U L2 U2 B F’ L2 U2 L2 B’ F U. Replace the moves with the inverse rotations: U’ L2 U2 B’ F L2 U2 L2 B F ...
Every cubelet in a Rubik's cube contains a unique combination of either 2 or 3 different colored stickers. Because of this, for each cubelet, we can simply look for the correct spot on the diagram. Actually solving the cube is unnecessary (although for what it's worth, L F' R2 U2 F2 U' B2 R2 D L B' R2 U2 L2 B2 D F2 L2 R2 U F2 will solve it).. Jim stoppani
The Rubik's Cube (3x3x3) is a cube shaped Twisty puzzle. It was invented in 1974 by a Hungarian professor named Ernő Rubik. Rubik originally name the puzzle "Magic Cube" however, in 1980 it was renamed after its creator and is generally known since as the "Rubik's Cube". During the 1980s, the Rubik's Cube became a worldwide sensation, and it ...The 1x1x1 has a fairly complex notation due to its reliance on rotations to solve, so make sure you read each a few times through to ensure understanding: x – Rotates the entire puzzle by bringing the top face to the front. x’ – Rotates the entire puzzle by bringing the top face to the back. y – Brings the face on the right to the front.The Rubik’s Cube was invented in 1974 by Ernõ Rubik, a Hungarian architecture professor. Rubik later used the Cube as a learning exercise to teach his students about 3-dimensional spaces. Little did he know his “Magic Cube” (as he originally named it) would become one of world’s most famous puzzles of all time!Step 1: Basics. before trying tricks I would recommend learning to solve a Rubik's Cube first . that way you know the vocabulary , tips comma and tricks . For the basic you can check out my Rubik's Cube basics instructable.Sep 16, 2016 · The movie shows him downloading files onto an SD card and then hiding it inside a Rubik’s cube. He then avoids running the Rubik’s cube through security by tossing it to a security guard, who ... The best overall performer in our testing, the GAN 11 M Pro is a pleasure to use. We loved its smooth feel, ample adjustments, and satisfyingly snappy core and corner magnets. Its relatively high ...You can buy some of the cubes from this video here:Moyu RS3M 2020: https://bit.ly/3yWYxkuGAN 12 Maglev: https://bit.ly/3yWYyF4Check out our current sale: htt...An explanation to the workings and layout of a 3x3x3 Rubik's cube. Key moments.Mar 1, 2021 · This project is a self-contained robot that solves Rubik’s cube. The robot only requires human interaction to initially place the cube, press “capture” for our camera and make minor readjustments of the cube throughout the solving phase. After the initial cube placement, our robot follows a predetermined sequence to take a photo of each ... Sep 1, 2023 · View your 2x2 Rubik’s Cube from the top. Orient your cube so the white face you solved is at the bottom. Check for all the yellow corner pieces remaining. [4] 2. If you only see 1 yellow corner on the top face, use 1 algorithm. Use (R U2) (R’ U’R’ U’R’) if you see 1 yellow piece in the right hand corner. Put in the edges around the equator of the cube. For the last 3rd put the remaining pieces in except one edge. REMEMBER, edge pieces go in easiest when the layer is turned 45 degrees. To put the final edge in turn the layer 45 degrees and wedge one side under the center piece. Then press down and inward towards the center of the cube. Divers closed them inside by tightening a ring of bolts as the craft rolled on the waves about 13,000 feet above the 111-year-old wreckage of the Titanic. Suleman, 19, carried a Rubik’s Cube.REDDIT https://www.reddit.com/r/dopeornopesubmissionsHigh Steaks https://www.youtube.com/watch?v=_ZUr3kaz5wIIT'S PUZZLE TIME. Today we are looking throug...Shop our Rubik's MINI 2x2 range here:UK: https://bit.ly/2F62mLQEU: https://bit.ly/3lP8zgiUSA: https://bit.ly/2F0UcVrBe a solver of tomorrow and check out our...Rubik's cube is an interesting 3-dimensional puzzle that challenges your spatial imagination and memory. Usually, the goal is to arrange the cube so that each side is a solid color, as shown in Figure 1. However, in this project, you'll be trying to figure out ways of making geometrical patterns with Rubik's Cube.Void Cube. The Void Cube was invented by Katsuhiko Okamoto and it is similar to the the 3x3x3 Rubik's Cube, but it has no centre pieces just holes so you can look through it. The typical centre core which holds together the Magic Cube is missing. Because of its mechanism it doesn't move so smoothly like a normal Rubik's Cube and it doesn't cut ... .