The clockwise rotation of \(90^\) counterclockwise. You will learn how to perform the transformations, and how to map one figure into another using these transformations. Measure the same distance again on the other side and place a dot. (Anti-clockwise direction is sometimes known as counterclockwise direction). Measure from the point to the mirror line (must hit the mirror line at a right angle) 2. To rotate a shape we need: a centre of rotation an angle of rotation (given in degrees) a direction of rotation either clockwise or anti-clockwise. Take note of the direction of the rotation, as it makes a huge impact on the position of the image after rotation. In this topic you will learn about the most useful math concept for creating video game graphics: geometric transformations, specifically translations, rotations, reflections, and dilations. What are rotations Rotations are transformations that turn a shape around a fixed point. Rules for Rotations In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. The angle of rotation should be specifically taken. Generally, the center point for rotation is considered \((0,0)\) unless another fixed point is stated. The following basic rules are followed by any preimage when rotating: There are some basic rotation rules in geometry that need to be followed when rotating an image. A corollary is a follow-up to an existing proven theorem. A short theorem referring to a 'lesser' rule is called a lemma. These are usually the 'big' rules of geometry. In other words, the needle rotates around the clock about this point. First a few words that refer to types of geometric 'rules': A theorem is a statement (rule) that has been proven true using facts, operations and other rules that are known to be true. In the clock, the point where the needle is fixed in the middle does not move at all. In all cases of rotation, there will be a center point that is not affected by the transformation. Examples of rotations include the minute needle of a clock, merry-go-round, and so on. Here is an easy to get the rules needed at specific degrees of rotation 90, 180, 270, and 360. Rotations are transformations where the object is rotated through some angles from a fixed point. A rotation is a transformation that turns a figure about a fixed point called the center of rotation. Having a hard time remembering the Rotation Algebraic Rules. What is a rotation A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. So, we know that rotation is a movement of an object around a center.īut what about when dealing with any graphical point or any geometrical object? How are we supposed to rotate these objects and find their image? In this section, we will understand the concept of rotation in the form of transformation and take a look at how to rotate any image. Review the basics of rotations, and then perform some rotations. We experience the change in days and nights due to this rotation motion of the earth. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. Now, we know that 90° clockwise rotation will make the coordinates (x, y) be (y, -x).Whenever we think about rotations, we always imagine an object moving in a circular form. Write the mapping rule for the rotation of Image A to Image B. Solution: As you can see, triangle ABC has coordinates of A(-4, 7), B(-6, 1), and C(-2, 1). Rotate the triangle ABC about the origin by 90° in the clockwise direction. We can show it graphically in the following graph.Įxample 4: The following figure shows a triangle on a coordinate grid. So, for the point K (-3, -4), a 180° rotation will result in K’ (3, 4). Solution: As we know, 180° clockwise and counterclockwise rotation for coordinates (x, y) results in the same, (-x, -y). Show the plotting of this point when it’s rotated about the origin at 180°. It will look like this:Įxample 3: In the following graph, a point K (-3, -4) has been plotted. So, for this figure, we will turn it 180° clockwise. Solution: We know that a clockwise rotation is towards the right. The images are represented in the following graph.Įxample 2: In the following image, turn the shape by 180° in the clockwise direction. Thus, for point B (4, 3), 180° clockwise rotation about the origin will give B’ (-4, -3). Similarly, for B (4, 3), 90° clockwise rotation about the origin will give B’ (3, -4).ī) For clockwise rotation about the origin by 180°, the coordinates (x, y) become (-x, -y). Example 1: Find an image of point B (4, 3) that was rotated in the clockwise direction for:Ī) As we have learned, 90° clockwise rotation about the origin will result in the coordinates (x, y) to become (y, -x).
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Hopefully, all of us will end up learning about new, inspiring, totally free libraries for KONTAKT as a result.ĨDio 1928 Scoring Grand - HIGHLY RECOMMENDED!!! I haven't done that perfectly below, but will come back and update this thread, as I wanted to get this out as soon as I could. I invite others to comment with their own favorite free sample libraries for KONTAKT - I'll modify the title if others join so that it doesn't merely refer to me but states something like "OUR FAVORITE FREE SAMPLES LIBRARIES FOR KONTAKT." If you add your favorites in this thread, it would be great if you could tell people the reasons why you like a library. But these were the first that came to mind. Consequently, I realize there are a lot of libraries that I have that I couldn't think of here that I will come back to add later. I put this together quickly after if I could put together a list with ten or so of my favorite KONTAKT freebie libraries based on the list I put together for free sample players. Libraries with an asterisk are KONTAKT Player libraries. Most of these samples libraries are for the full version of KONTAKT. This list reflects the free KONTAKT libraries that I like enough that even though I own paid libraries for the same kind of instrument, I still find the freebie worth keeping. I wanted the other one to cover all of the bases so that someone who was flat broke could find a library they wanted of almost any kind. It led to a number of people asking me if I could do a similar list for KONTAKT libraries. I created a list of recommended free sample libraries that play on free sample player plugins to help those on a very limited budget. If the mother is Rh negative, certain precautions must be taken. Nevertheless, when it comes to pregnancy, it is very important to know the mother’s Rh group. However, more recent studies have not been able to conclude an association between ABO blood groups with disease susceptibility or severity. Until recently it was thought that blood group A was associated with an increased risk of SARS-CoV-2 infection, while group O was associated with reduced susceptibility. Knowing the blood group is important because, depending on the one we have, we may be more or less predisposed to develop certain diseases. Does my blood type influence the incidence of illnesses such as Covid? In addition to this, there are other causes responsible for the variation observed in different blood group alleles at the molecular level for example, deletion of a gene or part of a gene or of one or more nucleotides. One or more SNPs in a particular blood group system can help identify alleles specific to that system. Single nucleotide polymorphisms (SNPs) are the main cause of variation in genes involved in defining blood type. Although the most reliable way to know your blood type is to have a biochemical blood test, during the last decades the genetics of the ABO Rh blood type has been detailed, and nowadays the blood type can be analyzed by genetic methods. With the tellmeGen DNA test you can know your blood group. People of group AB+ can receive blood from any group, which is why they are known as universal recipients. Group 0- is compatible with everyone, so people with this blood group are universal donors. How does my blood type influence my genetics?īlood group compatibility is crucial when donating or receiving blood from another person. Group 0 positive is the most frequent, especially among Hispanics, while Asians have a relatively high number of group B individuals, compared to the rest of the countries. Blood group A gives A types, B types B and group 0 types 0, with A and B groups being dominant over 0. The blood group, like most characteristics, is inherited from the parents. The Rh classification is characterized by: Therefore, the ABO classification is characterized by: These blood types are defined by the antigens that are attached to the red blood cells or erythrocytes in the blood. There are more than 30 blood type classification groups in humans, but the two most important are the ABO group and the Rh group because they affect the vast majority of the world’s population. Blood types are classified according to characteristics present in the outer layer of red blood cells and in the blood serum. White cake dotted with colorful sprinkles and blended with creamy vanilla bean butter-cream then dipped in vanilla coating and topped with more sprinkles. White almond cake blended with classic almond butter-cream then dipped in Tiffany blue coating and topped in white sprinkles.Ī delicious vanilla bean cake blended with pieces of Oreo cookies and our classic French vanilla butter cream which is then dipped in white chocolate and topped with more Oreos.įresh strawberry cake blended with sweet strawberry butter-cream then dipped in pink coating and topped with red sprinkles.Ĭoconut rum cake blended with cream cheese frosting then dipped in white chocolate coating and topped with toasted coconut shavings. Peanut butter cake blended with rich caramel butter-cream then dipped in milk chocolate and topped with a drizzle of peanut butter and caramel.Ĭrushed Oreo cookies blended with cream cheese frosting, dipped in vanilla coating and drizzled with milk chocolate. Mint chocolate cake blended with sweet mint butter-cream then dipped in a white chocolate mint coating and topped off with green sprinkles. Pumpkin spice cake blended with spiced cream cheese then dipped in vanilla coating and sprinkled with a blend of fall spices.Ĭreamy eggnog cake blended with vanilla eggnog spiked butter-cream and dipped in a vanilla coating then topped with colorful holiday sprinkles. Spicy gingerbread cake mixed with luscious lemon butter-cream then dipped in vanilla coating and topped off with gingerbread sprinkles.Ĭlassic Southern red velvet cake frosted with a swirl of our secret cream cheese icing. So I renamed my site to Zachman Awesomeness 3D (ZA3D for short). A year or two passed until I decided to rename my site. That was when I stepped up and made the Zachman Awesomeness Forums. Upon hearing about SI3D shut down, things were crazy. I've worked on it for a long time and it's the only route I was working on until I started making dioramas. Only five releases were made from the old one before something happened (rather not explain) and then the project restarted going by the name of "The Island of Sodor Customized Redux Project V2". It launched sometime in early 2017 when the original IoS was first being made, going by "The Island of Sodor Customized Redux Project". "What was the site's OG (original) name before it was called ZA3D? Any routes before the official one? What's the history of ZA3D?"īack then, the site was just called Zachman Awesomeness II. We must find a decent locomotive and rolling stock maker. "Will you be making your own locomotives and rolling stock?" Of course! I like a little freelance from points A to B. "Will the route include freelance locations and sets for filler?" Once Workshops is ready to re-release their IoS, I'm sure you'll be able to salvage the old stuff. As for the SI3D stuff, you see, SI3D is long gone and Workshops has taken over the route. I really want to replace some of them with buildings of my own in the future. What will you do regarding the assets that are obviously no longer obtainable publicly?" "This route has assets from dead sites such as SI3D, The Sudrian Community, Sodor Island Routes, etc. If you have any version of T:ANE or Trainz 19, the route will work at the cost that some assets might look weird, especially my custom buildings due to the fact I have no clue how to bake them. If you have literally any Trainz earlier than 12, this route will obviously not work. The autumn/winter version will follow afterwards. The route being made takes place during the spring/summer seasons. After the route is fully complete, I may do seasonal versions. It will take many years to finally reach the full 100% for my IoS Project. "What will happen once the route is entirely done, like, 100% done?" No location and/or set shall be left behind! Yes, 'location or set' will be on the route where I think best fits. "Will "location or set" be on the route?" However, I am adding on from where he left off, using the maps that came out after 2014 with the desire to keep nearly everything canon and surreal as possible. My own IoS route is primarily based on the 2014 Island of Sodor TV Series map made by Railway Consultant Sam Wilkinson. "How long have you worked on the project for?"Īs of the time I'm writing this, it has been 3 years and 5 months since I first started the ZA3D Island of Sodor Project. FREQUENTLY ASKED QUESTIONS (applies here only): See, Dale North has professed to have great personal affection for Jim Sterling. And that might be the case, if it weren’t for the fact that that new leadership is Dale North. So you might think that I would be pleased by the fact that Destructoid is going to have new leadership. Predictably, I never received a response. It was at that point that I sent an email in complaint to Niero ( a copy of which I posted here on this blog). Which, you know, didn’t sound like he’d really learned a whole lot from the experience of being raked over the coals for calling someone a “feminazi slut”. Now if you’ll excuse me, there are some vaginas that have not been raped yet, and Kirby told me I need to “get on dat sh*t!” Of course, less than 24 hours later, Jim published a story that he ended by saying: It was around this time that a reader forwarded an email from Niero responding to his complaint about Sterling that pretty much read as “he crossed a line, but he’s totes a nice guy! honest!”. This actually caused enough of a flap that a non-apology was issued by Sterling, that mostly went ‘okay that was bad but she deserved it and the nasty feminists are being meeeeeeaaaaaaaaaaaannnnn to meeeeeeeeee’. See, I wrote my first post about how Jim Sterling is a repugnant human being and blatant misogynist after a Twitter-dustup in which he called a woman a “feminazi slut”. …great.įor those of you who’ve started reading this blog recently, or who don’t remember this from previous posts, a bit of a recap. So who did they replace Niero with? Dale North. I guess Niero has gone and gotten himself a job at Harmonix, which is great for him I guess. It seems that Destructoid has a new Editor in Chief. Nor do I read my Google Alerts for Jim Sterling because, you know, what’s the point?īut something happened to catch my attention. I don’t visit periodically to see what bullshit Jim Sterling has gotten up to recently. I’ll admit that I’ve started actively avoiding content on Destructoid, since I know that all that’s going to happen is that it will inevitably make me mad. It’s been a while since I’ve written about Destructoid. Thing the first: Destructoid’s new Editor-in-chief But I’ll talk about each thing separately and then come back to elucidate how these things are connected. They’re going to seem unconnected up front, but they really are. So there are two things that I want to write about today. The internet being the internet – there’s no real point in taking this down. He was actually gracious enough to let me interview him about how he’s reversed his stance and how that happened you can read the interview here on Gaming as Women. Imagine that! At the time of writing these posts, I never could have imagined that Jim Sterling would have a change of heart, but he did indeed. 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Though it was something of a contractual obligation, as the band were trying to finish the terms of their recording contract and end their association with Warner Bros., it was compiled as the first volume of either a two-volume set or a series. They sat down and played acoustic guitars. Immediately following that, Bobby (Weir) and Garcia went out and did the same thing. He went out and played 'Katie Mae' to her. He went out and sat down on the stage-it was Valentine's Day and he had a honey out in the crowd. We'd been pushing him for years to do it and finally he just got loose enough and comfortable enough with the audience there at the Fillmore to go out and do it. He sat down and played the bottleneck guitar. īand manager Rock Scully said "Pigpen went out on the stage and sat down in a chair. As such, it features three songs on which Pigpen sings lead, including all of side two. 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The album peaked at number 60 on the Billboard 200. It was originally intended to be the first volume of a series. Often known simply as Bear's Choice, the title references band soundman Owsley "Bear" Stanley. Records, it offers concert highlights recorded February 13 at the Fillmore East in New York City. It is their fourth live album and their ninth album overall. By wearing our 13-Point Lightning Bolt jewelry, fans can carry a piece of the Grateful Dead's iconic energy with them, serving as a reminder of the power of music to inspire and unite.History of the Grateful Dead, Volume One (Bear's Choice) is a live album by the Grateful Dead. These pieces, including pendants, earrings, and bracelets, capture the essence of the Grateful Dead's electrifying performances and the transformative nature of their music. In our sterling silver Grateful Dead collection, we've created a range of jewelry pieces that showcase the distinctive 13-Point Lightning Bolt design. 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The relative masses and charges of the sub-atomic particles are summarised in the table below: Sub-atomic particle Protons and neutrons both have a relative mass of one, whereas electrons have practically zero mass. Protons are positively charged, electrons are negatively charged and neutrons have no charge and are therefore neutral. Protons and neutrons can be collectively known as nucleons as they are both found in the nucleus. The nucleus is found at the centre of the atom and it has a radius which is 10,000 times smaller than the radius of the atom. The protons and neutrons are found in the nucleus. The electrons are found orbiting the nucleus in energy levels. The model used today to describe the structure of the atom shows that atoms contain electrons, protons and neutrons. Chadwick’s model is used as the basis of the atomic model used today. In 1932 a scientist called James Chadwick developed these ideas further and used experimental evidence to prove the existence of other sub-atomic particles known as neutrons and discovered that these neutrons were cited in the nucleus along with positively charged sub-atomic particles known as protons. A scientist called Niels Bohr developed this model and came up with a theory that the electrons orbited the nucleus in specific energy shells or energy levels. The model of the atom Rutherford devised from these deductions included a positively charged nucleus surrounded by a cloud of negative electrons which constantly moved around the nucleus. Rutherford used this observation to deduce that most of the atoms’ mass must be concentrated at the centre of the atoms and that there must be some positive charges in the nuclei which repelled the positive charges of the alpha particles. The particles which were reflected must have hit something large. As most of the alpha particles passed straight through the gold foil, he deduced that the majority of each gold atom must be empty space. However, there were also a significant number of particles which were deflected more than expected and also some particles which were reflected back away from the foil.Įrnest Rutherford analysed these experimental observations and used them to make some deductions about the structure of the atom. They found from their observations that the majority of alpha particles passed through the gold foil as expected. When they fired the alpha particles at the screen, Geiger and Marsden recorded any flashes which occurred. The zinc sulphide screen emits flashes of light known as scintillations when it is hit by alpha particles. The set-up for Geiger and Marsden’s experiment is shown in the diagram below: If Thompson’s model of atomic structure was correct, the alpha particles should either pass straight through the gold foil or be only slightly deflected. They fired alpha particles at a very thin layer of gold foil, one atom in depth. These two scientists were Hans Geiger and Ernest Marsden, and they had been conducting experiments looking at the behaviour of alpha particles.Īlpha particles will be explained in more detail later in the chapter but in brief they can be described as helium nuclei and are uncharged particles. In the early 20 th century, the scientist Ernest Rutherford discovered the presence of the nucleus of the atom by looking at the findings from experiments conducted by two scientists working in his laboratory. This is why the model became known as the plum pudding model. Thompson thought that an atom looked like a ball of positive charge with electrons dotted through it, like plums in a pudding. Thompson had discovered the first of the sub-atomic particles: the electron. Thompson discovered that atomic structure was actually not a hard sphere but in fact contained smaller negatively charged particles which had very little mass. Dalton believed that atoms of an element have the same mass and that each different element had its own type of atom with different masses. These substances we now know as elements. Dalton claimed that some substances were made up of identical atoms. In 1830, John Dalton – a scientist who studied gases in the 19 th century – stated that all atomic structure was made up of atoms which he believed to be tiny, hard spheres. The work of many scientists over the years has contributed to the model of the atom we use today. The model of the atom has been developed over the years as advances have been made in scientific methods and technology. |
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