Therefore the stick figure is line symmetric, and the recycling symbol is rotationally symmetric. In these examples (from my Geometry Labs), the stick figure is its own reflection in the red line, and the recycling symbol is its own image in a 120° rotation around its center: Another well-known symmetry is rotational symmetry. (In other words, if it is its own image in an isometry.) In the most familiar example, bilateral symmetry, the isometry in question is a line reflection. Symmetry is deeply connected to rigid transformations, and can be defined in terms of those: a figure is symmetric if it is invariant under an isometry. The Common Core does not have much to say about symmetry (see my analysis.) This is unfortunate, because symmetry provides us with connections to art and design, as well as to abstract algebra, and is very interesting to students. Here is an additional argument in defense of the glide reflection: its importance in analyzing symmetric figures. From the point of view of congruent figures, one can argue that glide reflections are as important as rotations.Īs for #3: what do I mean by symmetries beyond the rosette? In fact, what do I mean by rosette, frieze, and wallpaper symmetry? Read on. Note that the activity is more fun if you go a little further: if it's a reflection, where is the mirror line? If it's a rotation, where is the center? (The latter question is hard for most beginners.) Note that reflections and translations require a fairly special setup, while rotations and glide reflections are very general. The "cheat" button will likely not be necessary, but it is there just in case. (Along the way, we prove #1.)Īs one way to experience this at an intuitive level, you can have your students guess the mystery isometry, in various cases, starting here. See the epic proof of this result, abundantly and interactively illustrated with the help of GeoGebra, here. What this theorem tells us is that if there is such a sequence, then it is equal to a single rotation, reflection, translation, or glide reflection. Think about it: in the CCSSM, two figures are deemed congruent if one is the image of the other in "a sequence of rotations, reflections, and translations". #2 is truly a fundamental and phenomenal theorem. Glide reflections are essential to an analysis of symmetries, as soon as you go beyond rosette symmetry to frieze and wallpaper symmetry.Given any two congruent figures in the plane, one is the image of the other in one of the three CCSSM isometries, or in a glide reflection.This turns out to be super-convenient, and is not the case with the other cases mentioned above. In a glide reflection, the two component transformations can be performed in either order.(The figure is from Richard Brown's excellent but dated and out-of-print Transformational Geometry) Glide Reflections and CongruenceĪ glide reflection is the composition of a reflection, and a translation in a vector parallel to the line of reflection. In the less-than-ideal world we live in, they can provide some good exercises and problems in grades 8-10, serve as an enrichment topic in precalculus, or be part of a full-fledged unit in a Year 4 advanced geometry elective.īut enough introduction. ![]() ![]() Glide reflections belong in such an ideal-world side trip. Of course, the side trips would not be the same in every school or every classroom. ![]() In such a world, there would be time to teach actually-core standards well, and to complement them with interesting mathematical side trips. (See my analysis here.) Quite the opposite: in an ideal world (ha!) the CCSSM would be pruned so as to really consist of core standards only. I do not think it would have made sense to include it in the CCSSM, because those standards are already overstuffed. This post is about a fourth isometry, the glide reflection. The three are reflections, translations, and rotations, and they are indeed fundamental. The CCSSM mention three rigid motions (aka isometries), and suggest some basic assumptions about them. On this page, I explain the significance and importance of the glide reflection, an important rigid motion that is not mentioned in the CCSSM. But the Common Core State Standards for Math (CCSSM) pushed the topic into the mainstream, more or less, a development I welcome. It included a fair amount about transformational geometry, a part of math which at the time was a somewhat eccentric preoccupation of mine. Space is a course I taught from 1991 to my retirement in 2013.
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![]() ![]() In White Plains, the Westchester County Association (WCA) is another business advocacy organization doing similar work. “DEI has to be a value and practice that all of us live with, moving forward.” “I think the challenge now is to keep this on the front burner,” says Dr. In addition to the diversity conference it held last year, the Business Council of Westchester (BCW) has put together a series of eight anti-bias videos in response to the murder of George Floyd. ![]() Meanwhile, local business organizations are moving forward with their own efforts. “The more the community offers high-quality, local-workforce opportunities in the in-demand sectors, the more sectors will naturally diversify.” “The more we do, the more we realize it’s a really effective way to help the business community grow,” she says. Small Business Administration to hold some of its workshops in Spanish. Gibbons adds that the county has also been working with the U.S. “The hope is that this pipeline will bring opportunities to a diverse population.” “We’re implementing a training program to help get entry-level workers trained and part of the pipeline into advanced manufacturing,” says Gibbons. Under the Westchester County Economic Development Strategy, Recovery, and Implementation Plan, undertaken by the request of Westchester County Executive George Latimer in 2020, the county is also running a training program to help entry-level workers enter the field of advanced manufacturing, one of four areas being prioritized, with the others being biosciences, financial technology, and clean energy. Soulful Synergy works to provide career advancement opportunities to minority communities across Westchester. ![]() “They are looking in different places to hire the labor force.” “We see a lot of opportunities for companies to build better practices around diversity, equity, and inclusion (DEI),” says Norris. Since 2013, Soulful Synergy has developed curricula and offered job training in areas such as construction and the green economy, working closely with nonprofits and local firms to ensure that the more than 5,000 people the group has trained are job-ready. Alvarez, a former union carpenter, and Norris, a former financial services professional, are the cofounders of Soulful Synergy, a consultancy based in New Rochelle and New York City that aims to bring access to good pay and career advancement to members of diverse, minority communities through workforce development. From hedge funds and investment banks to automotive manufacturers and international law firms, universal clientele seek our expertise.Photo courtesy of Soulful Synergy Local business groups aim to support diversity and equity at the grassroots through job training, awareness, and community outreach.Īlex Alvarez and Dwayne Norris are on a mission to promote economic justice in Westchester County. Our clients will attest to our efficacy in obtaining favorable outcomes as we effectively mitigate risk for various industries. Our focus has always been on addressing our clients’ sense of urgency, while maintaining proper discipline in obtaining results.Īs a risk management and investigative services firm in today’s business climate, Synergy Intelligence works diligently to provide forward-thinking solutions offering competitive advantages in your field. We provide our global clientele with an integrated set of services, implementing sophisticated solutions for complex problems. From mergers and acquisitions to pro bono efforts assisting the wrongfully convicted, Synergy Intelligence has quietly helped clients with a wide range of inquiries for 15 years. Founded in 2000, Synergy Intelligence Holdings, LLC is a risk management and investigative services firm based in New York City. Slide down then use the plant and you’ll instantly port into the Plants vs. Hava Saldrs Ara nokta ile iaretlenmi gvenli eve giderseniz orada bir yere kan kap greceksiniz.
Mindfulness meditation is about accepting your experience as it is, imperfections and all. But worrying about ‘rightness’ is counterproductive to the exercise itself. With so many forms and variations, it’s hard to know if you’re doing it right. A guide to mindfulness meditation in four stepsĪt first, meditation is daunting to a lot of Westerners (myself included). With time and practice, this will allow you to navigate your own mind like a pro. You’re not boarding any of them - you’re making a conscious decision to let them pass. Mindfulness meditation is the practice of sitting in that train station of your mind and watching the trains of thought come and go. So how do we break this habit, and start navigating our minds more deliberately? For some reason, it’s so hard to do this with our thoughts. This is exactly the same approach you can take with your own mind: seek out the train of thought you want to be on, and ignore the noise and distraction. You can learn to navigate your mind like you would a train station From the second you walk into the terminal, you’re probably diligent and focused in seeking out the specific train you want to get on, ignoring as much of the noise and distraction as you possibly can. You walk into a train station knowing it will be a chaotic place. We have all gotten on trains of thought without questioning their direction, but would you do this at an actual train station? Would you just show up, and walk onto the first train you happen to see? Of course not! ![]() But would you do this in an actual train station? And then we ride this train as far as it wants to take us. When a emotionally-provocative thought arrives, it’s almost like we can’t resist getting on board. How many would-be relaxing nights have you had spoiled by an anxious or depressing thought that entered your mind and derailed you? I know it’s happened to me. We just get on board whichever train is front and center, without asking where the train is going, or whether we even want to go that way. We are often in the habit of simply taking whichever train seems to pull into our mental train station first. It’s tempting to take the first train of thought that arrives It’s easy to get overwhelmed, lost, or both. But it’s also a chaotic place with blinking lights, flashing signs, loud noises, pushy crowds, and plenty of irrelevant information. Your mind is a wide-open place with the potential to take you anywhere you want to go. ![]() To flesh out the metaphor a bit: if your thoughts are trains, then your mind is a train station though which all of these trains pass. So where do these trains of thought come from, and where do they end up? Your mind is a train station They are forever chugging along, emitting white noise in your mind. If you counted every distinct thought you had in any given day, it’d surely be in the thousands. And then some thoughts have huge emotion attached to them (like dreading a sit-down with the boss). Some of these thoughts are so mundane we may not even notice them (like picking out socks in the morning). ![]() Think of the phrase “train of thought.” It’s a vivid metaphor that describes thought in motion. Here a metaphor for the way the mind works. Your mind is a hectic place - how do you find your way? Navigating your mind ![]() Because of this, a mesh Wi-Fi system means there’s no need to toggle back and forth between networks. These are placed around your home to create a unified network that covers every room and location. What’s immediately different about mesh Wi-Fi systems is the equipment: there’s a router as well as a series of satellite modules. Invest in a mesh Wi-Fi system for advanced home coverage. One tradeoff: the signal is generally strong with a Wi-Fi repeater but the bandwidth may decrease, so response time may lag a bit. The repeater can then increase the network strength to a deck so that you can work at home if the weather is nice. To work well, the Wi-Fi repeater should be placed in a spot that already receives a strong signal - say, in the mudroom where it picks up the network from a router in the kitchen. This piece of hardware actually has 2 wireless routers - one to grab your existing network and a second which takes that signal to create an enhanced network with a bigger coverage area. Add signal strength with a Wi-Fi repeater.Ī Wi-Fi repeater is a second type of Wi-Fi booster. One key thing to note: check the signal on your router - typically a number such as 802.11 - and find a Wi-Fi extender that matches it. And, you can use multiple Wi-Fi range extenders to increase signal strength in different areas of your home. For example, if you get very poor service on a second floor and want to watch YouTube TV at night, you can place a Wi-Fi extender in a bedroom or bathroom. A Wi-Fi extender picks up the Wi-Fi signal sent out by your router and lengthens it without negatively impacting overall internet speed. The first Wi-Fi booster is a Wi-Fi range extender. It blankets your whole house with an improved Wi-Fi network but is more expensive and complicated to set up. In addition to these add-ons, there’s also a different type of option, called a mesh Wi-Fi system. ![]() Once set up, both create secondary networks - for example, your original “Network” becomes “Network1” - and your devices can automatically access whichever signal is stronger. ![]() These Wi-Fi boosters may be simple desktop accessories or plug directly into outlets. There are 2 different types of simple home devices that can help improve your network’s Wi-Fi strength and both - a Wi-Fi extender and a Wi-Fi repeater - are often referred to as Wi-Fi boosters. An open shelf with no obstructions - and no other electronics around - is best. If you can, resist the urge to tuck the Wi-Fi router inside a closed cabinet, and instead find a spot in the center of your home for it. Tweaking the location of your Wi-Fi router is one way to help improve signal strength. In addition, make sure that the device’s software is current many times software updates will correct functional issues and boost security. If the physical router itself is very old, contact your internet service provider about an upgrade. Like any piece of tech, a Wi-Fi router may be out of date - both the software and the hardware. Check your Wi-Fi router settings and placement. But for a long-term fix, it’s worth it to check whether your Wi-Fi router is placed correctly or whether you can supplement the signal with a Wi-Fi booster. In a pinch, you can temporarily create a hotspot with your mobile phone to supplement your Wi-Fi. The signal gets weaker the longer the distance between you and the Wi-Fi router or the more physical obstacles - such as a corner or a brick wall - between your device and the router. To access it, you need a Wi-Fi router, which distributes a signal to your computer, printer, phone, tablet and any other device and creates a network. ![]() Wi-Fi lets you use your smartphone to send or receive information on your home network rather than on your mobile data plan. Think of Wi-Fi as a bridge between your devices and the internet. Several things can impact your Wi-Fi signal. Luckily, through better Wi-Fi router placement or tech such as a Wi-Fi extender or Wi-Fi booster, you can easily enhance your internet strength. Do you have a spot in your home such as a bedroom or out on the deck where it’s just harder to get a reliable Wi-Fi signal? You’re not alone. ![]() However, autonomy remains a cornerstone of the 99 Spoons ethos: if entrepreneurs spot a more cost-effective supplier, they're wholeheartedly encouraged to make the shift. The commitment doesn't end there 99 Spoons backs its machines with a robust parts and labor warranty.įor those concerned about supplies, 99 Spoons connects its customers to an expansive third-party national distributors network, which boasts reputable names like Amazon Prime and Walmart. To ensure the highest standards of operation, customers are given access to comprehensive third-party training and support resources. Highlighting its commitment to ease and excellence, 99 Spoons collaborates with a top-tier third-party company that manages the delivery and installation of each machine. This freedom not only offers the advantage of leveraging a proven system, but it also grants them the autonomy to personalize and brand their machines according to their vision. Entrepreneurs can procure the machines without the constricting ties of franchise stipulations. ![]() In a world where franchising often bogs down entrepreneurs with hefty fees, royalties, and the operational burdens of brick-and-mortar establishments, 99 Spoons emerges as a refreshing alternative to these traditional models. 99 Spoons is committed to empowering entrepreneurs, allowing them to maximize profits while also striking the perfect work-life balance through a model that champions both liberty and adaptability. Whether you're diving into a lucrative side gig, yearning for the autonomy of steering your own ship, or seeking to boost your existing business revenue, these automated, cashless soft serve ice cream vending machines shine bright. However, while these once-dominant brands have either folded or significantly downscaled, 99 Spoons has artfully tapped into the timeless appeal of ice creams and gelatos, all while presenting an innovative and scalable business framework.ĩ9 Spoons presents a golden ticket for ambitious individuals. The echoes of the past soft serve ice cream frenzy might remind consumers of giants like TCBY, Red Mango, and Cold Stone Creamery. Interestingly, amidst the barrage of modern entrepreneurial avenues, one timeless and frequently underestimated opportunity is making waves both in generating semi-passive income and revolutionizing the restaurant realm, particularly within the retail ice cream and froyo sector: the rise of automated soft-serve ice cream vending machines.ĩ9 Spoons is ushering in a renaissance for aspiring entrepreneurs and seasoned business owners, offering an avenue to generate nearly passive income through its streamlined, automated, and cashless soft serve ice cream vending machines. With so much to process, many find themselves paralyzed by indecision, uncertain of their first step. Aspiring entrepreneurs must sift through the overwhelming amount of information, discerning valuable insights from the noise. However, the sheer volume of available advice can be daunting. Renowned figures like Gary Vaynerchuk, alongside rising voices like Earn Your Leisure, provide insights on various ventures, from garage sale reselling, to capitalizing on social media and diving into the stock market, NFT's and cryptocurrencies. In today's digital age, a wealth of resources guide budding entrepreneurs on starting side hustles and achieving a balanced work-life. ![]() There is no shortage of entrepreneurial opportunities for individuals looking for financial freedom. Kylie Kurtz, daughter of Vince and Laurie KurtzĪnd Ella Poppema, daughter of Joe and Gena PoppemaĪ Queen’s Tea and Pageant will take place next month to crown the 2024 Tulip Festival Queen. Mia Calsbeek, daughter of Dean and Tina CalsbeekĪvery Ketch, daughter of Reese and Cristi Ketch, ![]() Rebecca Boersma, daughter of Joel and Angela Boersma Orange City residents chose their 2024 Tulip Festival Court, in a city-wide vote Wednesday. The DeSantis campaign also announced that they raised 15 million dollars in the 3 rd quarter of fundraising leading up to the caucuses. DeSantis has pledged to campaign in every Iowa County leading up to the precinct caucuses early next year, and estimates he should reach that goal by the end of this month. This will be his third campaign trip to Iowa. DeSantis has trailed only former President Donald Trump in most polls during this campaign. The Florida governor, who is one of the front-runners for the GOP nomination, will be at the Wells Blue Bunny Ice Cream Parlor Monday at 10 a.m. Republican Presidential candidate Ron DeSantis will make a campaign stop in Le Mars next week. The largest fires Monday occurred near Westfield and west of Hinton, in southwest Plymouth County. Ĭhief Schipper says even the best-kept equipment is vulnerable to fire. That’s where farmers step in to help firefighters. Le Mars Fire Rescue Chief Dave Schipper says there have been a number of equipment fires this harvest season, and the winds can spread flames across fields quickly. The estimated cost of the project will be paid for through hospital reserve funds įarmers are great asset to help fight field fires. This is a separate project from the current facilities expansion. The second part of the expansion addresses laboratory space. CEO Dustin Wright says this is an 8.2 million dollar expansion of facilities at the hospital. The Le Mars City council this week gave approval to an expansion of two areas at Floyd Valley Healthcare. Their fee is 21-thousand dollars, under the contract approved by the city council. They propose making a site survey and developing plans for rail construction. Design Nine Engineering specializes in rail projects. The new interchange will be located just west of an existing one located north of 18th Street. The city council this week approved the hire of a consulting firm to carry out a rail interchange expansion. Le Mars Rail is expanding service, as rail traffic into the industrial park expands. ![]() People are urged to cover their plants tomorrow night, as the cold could damage vegetation. The watch includes a small part of southwest Minnesota and large areas of South Dakota and Nebraska. Eight Iowa counties are included in the watch: Plymouth, Woodbury, Sioux, Lyon, Osceola, OBrien, Cherokee and Ida. The National Weather Service in Sioux Falls has issued a Freeze Watch for late Friday into early Saturday. She says this does NOT affect the other weather radio transmitters in the area such as the one near Sheldon at Sanborn, the one near Worthington, the one near Milford, or the one near Storm Lake.Colder air is drawing into the midwest. Penning says they’re also upgrading that so it will be more robust and not break down so often. Penning says there are a lot of WSR-88D units (that’s what the weather service calls their Doppler radar units) in the United States, and they’re all being upgraded.Ĭoincidentally, the National Weather Service Weather Radio transmitter for the tri-state area on 162.4 MHz is also down at this time. And people shouldn’t be concerned if severe weather does occur. She says with the radar offline, it is a little more of a challenge for meteorologists in the office to do their job, but it’s not impossible. ![]() Meteorologist Amanda Penning with the National Weather Service Sioux Falls office tells us their Doppler radar isn’t broken, but it is offline for a planned upgrade. Sioux Falls, SD - One of the tools that the National Weather Service meteorologists use to predict the weather, create forecasts, and issue severe weather warnings for northwest Iowa is down, and has been for a few days. With that done, the Epson ribbon could be looped into the Canon cartridge and wound in using the built-in winder. The first step was to crack open the Canon cartridge to dump out the old ribbon. Thankfully, the FX80’s ribbon is the same width as the one used in the Canon printer, even if the cartridge is of a completely different design. With replacements unavailable, he instead turned to the more popular Epson FX80, for which new ribbons can still be found. was hoping to find a new ribbon for his Canon PW-1080A after the 33-year-old ribbon had been hammered to bits. What do you do when your dot matrix printer’s ribbon is torn to shreds after decades of use, and no new cartridges are available? You might like to attempt a ribbon transplant from another printer’s cartridge, and that’s just what did. Be sure to check it out after the break, both in the safety of the house, and outside in the scary darkness.Ĭontinue reading “2023 Halloween Hackfest: Quoth The Raven, “Caww!”” → Posted in Arduino Hacks, Holiday Hacks Tagged arduino nano, DF Player Mini, PIR sensor, power LED, raven Hiding electronics and hot glue is one thing, but this is above and beyond. Spookiness aside, our favorite part might be the absolutely lovely job that did decorating the raven’s base. As you might expect, the sounds are on an SD card and played through a DF Player Mini. This bird’s brain is an Arduino Nano, which is protected from the 12V supply with a boost converter. The light comes from a whopping 10-watt, 12-volt power LED. Get close enough to this raven and you’ll set off the PIR sensor, which triggers lighting and sound effects, including some spooky glowing and blinking red eyes, general cawing, and of course, thunder. This one began when scored a fake raven at a neighbor’s garage sale and decided to turn it into a thunder-and-lightning decoration that would frighten even the bravest trick-or-treater. Sometimes, projects start in somewhat unlikely places. What’s a Ghostbusters costume without a PKE meter? Continue reading “2023 Halloween Hackfest: Converted Proton Pack Lights Up The Night” → Posted in Holiday Hacks Tagged 18650, arduino, arduino nano, cyclotron, ghostbusters, proton pack Be sure to check it out in action after the break. A frame made of square aluminium tubing adds strength, and a new pair of padded straps make it comfortable. He also drilled out and lit up the cyclotron, because what’s a proton pack without that? There’s even a 7-segment LED voltmeter so Dad can check the power level throughout the night.įinally, he had to do a bit of engineering to make the thing actually wearable by his daughter. ![]() He got lucky with the whole power cell thing, because an 8 x 5050 RGB LED stick fits there perfectly and looks great behind a PETG diffusing lens. added plenty of blinkenlights, all running off of an Arduino Nano clone and a pair of 18650s. And of course, add all the necessary stickers. For one thing, it’s blue, and outside of the short-lived animated series The Real Ghostbusters, who ever heard of a blue proton pack? So one major change was to paint it matte black and age it with the old silver rub ‘n buff technique. Starting with an inert off-the-shelf toy from 2021, set out to make the thing more awesome in every way possible. ![]() It’s really quite unfortunate that Hackaday/Supplyframe employees and their families are not allowed to place in the 2023 Halloween Hackfest, because our own has thrown down a costume gauntlet with his kids’ proton pack conversion. ![]() Related post: 10 Most Beautiful Japanese Cars Ever Made 2. In this case, to get the most out of the extra money, you should go for models after the 1994 model year would be ideal as the Miata was upgraded with a larger engine, brakes, and wheels for more power. If you want a more recent model, you will most likely have to pay more than $10,000. That said, if you stick to early models, specifically model years 1989 to 1990, you will find ample Miatas for between $3,000 and $10,000. ![]() This little roadster is so popular that its prices have increased somewhat during the last decade. Many have swapped in high-performance motors from other manufacturers like General Motors for some insane power-to-weight ratio. ![]() It is also hugely popular for its tuner-friendly engineering, which allows some pretty wild modifications. It is incredibly safe, reliable, and fun to drive, and super low maintenance.ĭon’t ignore the cheap JDM cars under 10k! (Photo: ) This rear-wheel-drive, stick-shifting little rocket is a long-running champ in the world of sports cars. No list of the best project cars under 10k would be complete without the Mazda Miata MX-5. Power output: 86 kW (115 bhp) to 99 kW (133 bhp).You will find from unassuming utilitarian Hondas and Toyotas to fun and/or luxury models from Lexus and Mazda. These vehicles are popular and thus widely available, which means they are affordable, and you will have ample aftermarket knowledge sharing and support from other DIY drivers and mechanics. The following 11 models are tried and tested vehicles with unrivaled reliability, easy handling, solid build quality, and easy maintenance, as well as intuitive engineering and an abundance of aftermarket parts to allow for endless tuning possibilities. If you want the most functional and reliable cars at the lowest price possible, second-hand Japanese Domestic Market (JDM) imports would make the most ideal project cars. 11 Best JDM Cars Under 10k To Make Your Dream Project Car Come True Whether you’re a die-hard street racer or just want a functional and distinguished vehicle for daily commute. Check out the 11 JDM project cars for sale under $10,000 that would meet your needs. It’s possible to create a cool and perfectly functional project car for a few thousand bucks, although it requires time, passion, and some skills. If you’re willing to throw in some DIY modification or know a garage that can do it for you, you can buy the best JDM cars under 10k, sometimes for as low as $2,000. 2 Cheap Cars are committed to responsible lending.A great way to save money on your first (or next) four-wheel friend is to import Japanese used cars. Please make sure you fill out as much as possible, as it allows us to get you the best deal, and please remember to include the best time to call you if we need any further information. If you know what car you’re after, we can approve you online otherwise simply fill out the online form below and we can look to have you approved first, and then you can take your time through our 12 dealerships finding a car that’s right for you. Online application and approval process.Full disclosure around how repayments are calculated.Great range of interest rates and finance terms. ![]() We can help with all types of credit, from good to bad and everything in between, No matter whether you’re working nine to five, self-employed, or brand new to NZ and on a working visa, or have an international license or a restricted or learner licence - we understand your circumstances and are here to help. When it comes to finance, our excellent relationships mean we can get your next car financed quick & easy, with very competitive rates. Because of this the suppliers that we use in all aspects of our business really look after us. |
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