![]() It would probably take me something like 20 to 30 hours of investigatory work to try and answer it any better than that. As to exactly why it works for the fillet surfaces on your pentagonal cases and not your hexagonal ones, that's probably some sort of bug in the fillet intersector. Well like I mentioned above when only some of the edges at a juncture area are being filleted it's a much more difficult case for the filleter to handle because it needs to do more work to extend and intersect fillet surfaces against each other. > pieces here! but it works for pentagonal ones! > I have a solution to my problem but I am just curious as to why fillet doesn't work for hexagonal I'm not able to repeat that over here, see my examples above where all edges are being targeted, fillet is working ok then.Ĭan you show me a case with your objects where it's not working when all the edges coming off of a single vertex location are being filleted instead of only some of them? 123D design allows users to easily create objects ready to 3D print. > Even when I select edges that are not coming from a shared vertex I don't get a fillet for this particular example! 123D Design is made by AutoDesk, the same company that creates the pro CAD tool AutoCad. If the pieces connect up to each other accurately enough then I'd recommend trying to delete faces that are overlapping and use Edit > Join to glue them together rather than boolean union which tries to intersect pieces. It can be difficult for booleans to handle pieces that barely graze each other with overlapping surface areas. Both of these programs are designed for being compatible with 3D printers and creating unique. Autodesk 123D Design is an application that runs in a Web-GL enabled web browser, an iPad and on a computer. but if you don't fillet them Boolean Union works. There are many similarities between 123D Design and SketchUp. > And one more thing when you select all hexagonal shapes and fillet them then you cannot Boolean Union I would recommend not to do it this way because it makes it more difficult for the filleter and doesn't work. > a face (just outer Hexagonal face) and try to fillet it I believe fillet won't work! ![]() > Important: I don't want the inner edges to have fillets (simply because they are not visible) So please select Over here if I select all hexagonal pieces they all can be filleted with a radius of 0.2: ![]() if you select other hexagonal pieces and try to perform fillet on them (let's say 0.2) you may not get a fillet!
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![]() For hydrogen, there is only one electron and so the nuclear charge ( Z) and the effective nuclear charge ( Z eff) are equal. This is the pull exerted on a specific electron by the nucleus, taking into account any electron–electron repulsions. This can be explained with the concept of effective nuclear charge, Z eff. This might seem counterintuitive because it implies that atoms with more electrons have a smaller atomic radius. Within each group (e.g., the alkali metals shown in purple), the trend is that atomic radius increases as Z increases.Īs shown in Figure 2, as we move across a period from left to right, we generally find that each element has a smaller covalent radius than the element preceding it. Within each period, the trend in atomic radius decreases as Z increases for example, from K to Kr. Covalent Radii of the Halogen Group Elementsįigure 2. The trends for the entire periodic table can be seen in Figure 1. This trend is illustrated for the covalent radii of the halogens in Table 1 and Figure 1. Consequently, the size of the atom (and its covalent radius) must increase as we increase the distance of the outermost electrons from the nucleus. Thus, the electrons are being added to a region of space that is increasingly distant from the nucleus. We know that as we scan down a group, the principal quantum number, n, increases by one for each element. We will use the covalent radius (Figure 1), which is defined as one-half the distance between the nuclei of two identical atoms when they are joined by a covalent bond (this measurement is possible because atoms within molecules still retain much of their atomic identity). However, there are several practical ways to define the radius of atoms and, thus, to determine their relative sizes that give roughly similar values. The quantum mechanical picture makes it difficult to establish a definite size of an atom. With just a few clicks, you can create three-dimensional versions of the periodic table showing atomic size or graphs of ionization energies from all measured elements. ![]() They are (1) size (radius) of atoms and ions, (2) ionization energies, and (3) electron affinities.Įxplore visualizations of the periodic trends discussed in this section (and many more trends) on the Atomic Number of the Elements website. These properties vary periodically as the electronic structure of the elements changes. An understanding of the electronic structure of the elements allows us to examine some of the properties that govern their chemical behavior. ![]() As we go down the elements in a group, the number of electrons in the valence shell remains constant, but the principal quantum number increases by one each time. Oxygen, at the top of group 16 (6A), is a colorless gas in the middle of the group, selenium is a semiconducting solid and, toward the bottom, polonium is a silver-grey solid that conducts electricity.Īs we go across a period from left to right, we add a proton to the nucleus and an electron to the valence shell with each successive element. For example, as we move down a group, the metallic character of the atoms increases. However, there are also other patterns in chemical properties on the periodic table. ![]() This similarity occurs because the members of a group have the same number and distribution of electrons in their valence shells. The elements in groups (vertical columns) of the periodic table exhibit similar chemical behavior.
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We also work very hard to ensure that no one gives better customer service than we do. The BuyDirect GuaranteeĪt BuyDirectVinylFence, you can expect to get high quality vinyl fencing products at a competitive price. Click here to get started with your do-it-yourself Vinyl Fence Project. So, we developed the “project helper” page on our website to make your project go smoother. We understand that buying a vinyl fence may seem like a complicated do-it- yourself project. With over 18 years of experience in the vinyl fence industry, we understand what it takes to be successful and are committed in providing high quality products, outstanding customer service, and great savings on your next project. ![]() The attractive lattice is east-to-install, cuts easily to the size you want and provides long-lasting beauty that you dont have to maintain. The PVC lattice is designed to last longer than traditional wood lattice, while maintaining colour and withstanding cracks and splits. 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The new Help browser will be packaged in the App bundle (internet access not required to view) this is planned for September 2021 release. Email EazyDraw support to get advance version of the new Help viewer. We have scrapped the Help book and we are adding a dedicated Help browser internal to EazyDraw.Īll 400 help pages are being updated to full compliant HTML5 content. The consensus opinion is that this technology will soon be deprecated. Apple has not updated the Help Book technology since at least 2013. ![]() The issue is well documented on several web forums. But on recent versions of macOS the Help viewer often fails to find the content. It is great when it works and after caches are updated. Click EazyDraw Help Pages to use EazyDraw Help with your favorite browser.Īs we have noted in recent releases, the Apple Help Book technology is now very unreliable. If your audience includes mobile, then P3 images are a must. ![]() This includes live visualization and tagged image export (PNG, JPG, TIFF, PDF, SVG). EazyDraw 10 is fully color managed to author web graphics for these high dynamic range colors.įor professional (or semi-pro) use, EazyDraw 9 provides fully color managed image authoring. Display P3 is rapidly expanding to iPad, iPhones and Microsoft Surface. Mojave has implemented a new Color Space called Display P3 which adapts the movie projector color gamut to computer display technology. The DCI-P3 wide color gamut standard matches the capabilities of newest movie theater digital projection technology. P3, like Adobe RGB is a wide-gamut alternative to sRGB. MacBookPro and iMac models starting with late 2015 are using the new P3 color gamut displays. This is a system setting on the General tab, experiment to get the best choice for your viewing environment. System settings choice for Accent Color is reflected throughout EazyDraw UI. Choose light or dark mode on System Settings, General Tab. Change between light and dark modes on the fly, no need to quit and restart EazyDraw. Stay focused and productive under both light and dark ambient conditions. And guess what: the keyboard is fully scalable - it doesn't need to block half of your iPad's screen! Much of the creative user interface is focused on an amazing keyboard. There are no subscriptions or in app purchases.ĮazyDraw Mobile supports all the newest iOS and iPadOS 13 technology including: light and dark mode, inter and intra App drag and drop, a full finder for file management, export to PDF, PNG, JPG, Color management with wide gamut P3 support, and much more. ![]() You need to visit the App Store using the mobile device. Click these links for more details:Īll Apps on Apple mobile devices must download and install from the App Store. Search for EazyDraw (remember that is with a z) from your iPhone or iPad to download, it is a free download. EazyDraw will run on all iPhones and iPads using iOS 12 or newer. No additional charge.ĮazyDraw for iOS and iPadOS is now available in the Apple mobile App Store. View, edit, export, print, share, or just admire your drawings on the move with your iPhone and / or iPad. but it is their fault they releasing bug-ridden drivers without bothering to test them at all.Apple notarized disk image, App content, contained drivers.ĮazyDraw for Mobile - now with SVG - Free on mobile App Store.ĮazyDraw Mobile Version 2 with SVG support Now Available. I don't necessarily blame Wacom for having difficulty squashing bugs. I'll try this new 6.3.19-6 release, but I have little expectations that it will actually be bug-free - more a matter of if I can live with the bugs it (probably) has. ![]() I'm still using Driver 6.3.15-3 because thus far, it's the last release WITHOUT major bugs. I suppose OSX may have made the difference, when they started REQUIRING reboots upon driver update (didn't need that before). Horrible development and unlike Wacom in the 90s or 2000s. Eventually landing on a driver that seems fairly stable. make 4 more versions, all introducing NEW bugs over the next few months. This seems like standard practice for the folks at Wacom now. It removed ALL functionality of modifier keys (Command, Option, Control) in all apps which weren't "Wacom-aware". WacomTablet_6.3.19-6.dmg was release on Dec 23rd. ![]() ![]() ![]() Ensure demand reflect the needs of the MOB and proactively coordinate with CSC to ensure needs are met.Advise SM on stock levels and liaise with DSM/staff to ensure sufficient stock levels are maintained.Monitor individual training and advise on training requirements.Provide Recurrent Training for MOB personnel.Audit and control aircraft Servicing Sets for correctness and completeness of aircraft maintenance carried out at 1st and 2nd Line.Enforce policies, procedures and directives established by the Company.Ensuring personnel adhere to airworthiness rules and standards in the TAM/MPM, technical publications, and standard procedures.Ensure aircraft maintenance personnel requirements are identified, and personnel are assigned, to support aircraft maintenance and operations.Advise Site Manager on Monthly Aircraft Availability, Mission Reliability, as well cause factors and corrective actions.Plan, supervise corrective and preventive maintenance on MOB aircraft to ensure PIM inspections remain on schedule to meet FCFCL date or better.Ensuring that the Site Manager is briefed on the current status of MOB corrective and scheduled aircraft maintenance.Ensuring aircraft maintenance is adequately scheduled to provide mission capable aircraft to meet flight schedule.Communicate with Squadron Operations staff for all aircraft maintenance and support issues.Position: Associate Professor at CNS, the University of Tokyo since June, 2014 – present Assistant Professor at Institute of Particle and Nuclear Study, KEK from October 2004 to May 2014.Įducation: Doctorate Degree in Science from The University of Tokyo in April 2004.Ĭommunity service: Hold several prestigious positions in Japan, which include Chairman of the RCNP P-PAC (2019-2021), Board Member of the RCNP P-PAC (2016-2017), Chairman of the Unstable Nuclei Division of the Future Project Steering Committee, Japan Nuclear Physics Forum (2016-present), Scientific secretary of JPS Division of Experimental Nuclear Physics (2018-2019), Chairman of RIBF Users Executive Committee (UEC) (2014-2016), Member of RIBF Users Executive Committee (UEC) (2013-2017).Īwards: Japan Nuclear Physics Forum Award for Outstanding Young Physicists in the Experimental Nuclear Physics (2005). In the talk, the speaker will introduce the system of OEDO and discuss the surrogate reactions on 79Se and 130Sn. In spring 2022, we applied this method to the (d,p) reaction with the decelerated 130Sn beam at OEDO to reveal the condition to form the second peak at r-process. This was the first experiment to determine the gamma emission probability without detecting gamma rays. The gamma emission probability was obtained directly from the residual nuclei. The outgoing residues were identified by the first half of the SHARAQ spectrometer. The recoil particles were detected by the SSD-CsI array. The decelerated 79Se was focused on a CD2 target. To determine the CN reaction rate via studying the gamma emission probability, we conducted the (d,p) surrogate reaction on 79Se at the Optimized Energy Degrading Optics (OEDO) beamline – a deceleration and focusing element – at RIBF. In the CN reaction, the gamma emission probability around the neutron threshold is a key quantity. In particular, the peak structure in the abundance is governed by the neutron capture reaction around in the freezing-out phase, where the compound neutron (CN) capture reaction plays an important role. Although the neutron capture rate is the one of the most important to determine the neutron density at the final stage, they have not been well studied experimentally because both the neutron and the nuclei are short-lived. To understand the r-process, several nuclear physics parameters are demanded. ![]() The study on the origin is boosted by a recent finding of kilonova following the discovery of the gravitational wave. Origin of the element in the universe is one of the big questions in modern physics. Place: Meeting room on the 6th floor, Technique Building Nobuaki IMAI (CNS, the University of Tokyo) Title: OEDO Beam Line at RIBF and Its Physics Program ![]() Axels Pawn is also MLA compliant and offers loans with a fixed rate of 35% APR with all fees included. Our cash pawn loans run on a 90-day basis and can be renewed as many times as you need. There is No Minimum or Maximum period for repayment. Depending on the loan amount… We offer Monthly interest charges as low as 2.9% per month (see example below). Some dealers and most are still willing to calculate the value based on the weight.Īxels Pawn has the lowest Cash Pawn Loan interest rates in the area. It is easy and quick math and never fails. Not everyone knows how to use face value, but the experts typically prefer this method. There are a few other exceptions, but generally, the rule above will apply. A Morgan Dollars and Peace Dollars will weigh 26.73 grams. One dollar in coin “Face Value” is equal to 25grams.Įxceptions: A 1965-1970 Half Dollar is only 40% silver. These minted coins are not only based on 90% silver but the weights add up just like the denominations. Do you notice what this weight of 12.5 grams matches? You got it a Half Dollar. Five dimes will weigh 2.5×5=12.5grams and equally fifty cents or a half dollars. Because of the weight silver, half dollars are a great return on exchanging for the silver value.ĭo you notice anything unique about these weights? Half Dollars: A 1892-1915 Silver Barber Half Dollars, 1916-1947 Silver Walking Liberty Half Dollars, 1964 Silver Franklin Half Dollars all have the same exact weight and silver content. Quarters: A 1892-1916 Silver Barber Quarters, 1916-1930 Silver Standing Liberty Quarters, 1932-1964 Silver Washington Quarters all have the same exact weight and silver content of the silver quarters. One dollar in coins, no matter the denomination has the same silver content.ĭimes: A 1892-1916 Silver Barber Dimes, 1916-1945 Silver Mercury Dimes, and 1946-1964 Silver Roosevelt Dimes all have the same exact weight and silver content. When dealing with the majority of pre-1964 coins, the content of silver can be calculated based on “Face Value”. If you take two 50 cent coins, it will equal again one dollar. 10 cents + 10 cents + 10 cents + 10 cents +10 cents + 25 cents + 25 cents is equal to One Dollar. Take five dimes and two quarters and what does this total in currency value or “Face Value”. This is based on the denomination of the coins. If you have 1 Troy Ounce, and a Troy Ounce of silver is worth $24, then the silver content is 90% giving you a silver value of $21.6. You can simply weigh all the coins, and calculate the silver value. There are really two ways to do this based on the silver content. ![]() ![]() Some Tips on How to Value Assorted Silver Coins Dated 1964 and before? Investors who buy junk silver coins often do so to take advantage of the difference between face value and silver value, and to invest in silver at a lower cost. The difference between face value and silver value is that face value is the value assigned to a coin as currency, while silver value is the value of the metal content of the coin based on the current market price of silver. Other first-party games such as Psychonauts 2 (multi-platform) and Microsoft Flight Simulator are also among the highest-rated Xbox games of the year, with scores of 87 and 90 respectively. Hades has a Metacritic score of 93 on Xbox Series X/S, which is followed very closely by Forza Horizon 5, which has a score of 92 on the platform. However, it is certainly rather fascinating to witness it being the highest-rated game on Xbox all throughout 2021, according to review aggregator Metacritic. Let’s just hope that if we ever get a third installment, it doesn’t take nearly as long to develop.Supergiant Games’ roguelike adventure through hell, Hades, has been immensely loved by fans and critics alike, and it isn’t all too much of a surprise that it ended up being one of the best the last couple of years have had to offer. It also presents an opportunity for a whole new generation of gamers to fall in love with Psychonauts' lovable characters and unique gameplay.Īlthough the pacing of the plot is inconsistent towards the middle of the game, the overall story is an emotional journey, chock full of trauma, redemption and character growth. Psychonauts 2 review: VerdictĪll in all, Psychonauts 2 is both a worthy sequel to its predecessor, and a great game on its own merits. It's a letdown, after such an exciting start to the story. This makes it a bit of a hassle to power through several fetch-and-go quests in quick succession. However, one of the only flaws that I found in Psychonauts 2 is that the pacing slows down toward the middle of the game. I was personally glad to see that the developer Double Fine Productions incorporated themes such as mental health and LGBTQ+ representation into the game’s story. Similarly, improved graphics and some quality-of-life gameplay changes aren’t the only examples of progress that Psychonauts has made since 2005. ![]() Psychonauts 2 also introduces a number of new characters with tragic backstories that are bound to tug on your heartstrings. You can expect to see some appearances from the original game’s most prominent characters, including Coach Oleander, Agent Sasha Nein and Agent Milla Vodello, as well as Raz’s love interest, Lili. However, the developers provided an extensive recap of the previous game as soon as you launch Psychonauts 2.Īt the end of the first game, Raz and the team rescue the Grand Head of the Psychonauts, Truman Zanotto, from the clutches of the evil Dr. I first played Psychonauts almost 15 years ago on the PlayStation 2, so my memory of the original game was a bit fuzzy. However, don’t let this scare you away if you haven’t played the 2005 cult classic. Psychonauts 2 review: Plotĭespite the prolonged time period between the release of the two Psychonauts installments, the plot of Psychonauts 2 picks up almost immediately where the original game (and its VR spinoff, Rhombus of Ruin) left off. And even once you’re done with the story, you’re free to roam the Psychonauts HQ to finish off any side quests, or replay each level and pick up anything you missed the first time round. ![]() If you’re the completionist type, then you’ll be glad to hear that every possible level in Psychonauts 2 features hundreds of ‘Figments of Imagination’ to collect, as well as hidden secrets for you to explore. ![]() Taiwan's President Tsai Ing-wen arrived in New York Wednesday for a visit that has triggered threats of reprisal by China if she meets with House speaker Kevin McCarthy - and US warnings for Beijing not to overreact.Tsai is stopping over in the United States en route to Central America, where she will meet with the leaders of Guatemala and Belize to shore up ties with those diplomatic allies. Barnacles liked it so much that we decided to build another table, this time with Duplo baseplates, as that is more suitable for Kwazii. Needless to say, our kids are really enjoying their new toy. The building box has six structures you can build (house, knight’s castle, shop, skyscraper, temple, hotel), compared with the ‘themed’ sets that contain one to two structures at most. We also decided to purchase a medium-sized Lego building box, which we later realised is more value for money than the ‘themed’ Lego sets we had. This tape will not allow you to build across baseplate to tape as it is slightly thicker, but it gave a slightly different texture and an ‘area’ for the kids to assemble their Lego figures, outside of the main building space. We had a small space remaining on the table and instead of cutting up another baseplate, we decided to cut a few strips of the Lego tape we had to fill the space. Before removing the double-sided tape cover to stick the plates down, make several small marks on the table so that you know where to align the base plates – as once you release it, it can’t be removed from the table.Ħ. We stuck the double-sided tape across most areas of the underside, to ensure that there wouldn’t be any ‘hollow’ parts underneath.ĥ. Join the baseplates back together with Lego pieces, then flip over and stick the foam double-sided tape on the underside. Remember to put a cardboard backing underneath when cutting.Ĥ. Run the penknife along the plate firmly a few times, then bend the baseplate up and down. ![]() When cutting the baseplate down to size, flip the baseplate over first before placing a steel ruler at the area to cut, then guide the sharp penknife to cut along the ruler firmly. This will ensure that you can build Lego structures across baseplates.ģ. Important: Join the Lego baseplates together before ascertaining the remaining size required – there should be a small gap between the plates. For the small table we used, the large Lego baseplate fit nicely in the middle with an ideal height, with space on each side that we filled in with smaller cut-to-size baseplates.Ģ. The Lego table decked with structures six of which were from the medium Lego building box we purchased. However, we figured making a Lego table would involve minimal mess, and also create a long-term reward – in the form of independent play for them (and more free time for us) – or so we hope! Perhaps we’re just a little bit lazy to deal with cleaning up mess after the fun. Speaking of which, we still have a craft project that he has been asking us to do since we returned from the United Kingdom about two months ago – it’s still sitting on the shelf. In fact, our firstborn has to pester incessantly if he wants our help to do a craft project. They also love playing at the free play tables at the Lego shops and at Toys ‘R’ Us when we go out as a family, which sparked the idea that maybe we could create a small DIY Lego table for them to play with at home.īefore we continue, we’ll say that we are definitely not crafty parents. However, we soon found that they loved to place their base plates on our sofa – which basically left us with nowhere to sit. Previously, we had bought a couple of Lego base plates for them to play with their Lego sets, so that they would have a base to build on. We figure it’s just a stage which he will eventually outgrow. By that, we mean that Barnacles loves building and Kwazii loves destroying – annoying his elder brother to no end. At the ages of nearly-5 and nearly-2, our two boys (nicknamed Barnacles and Kwazii, respectively), love playing with Lego. The security breach, in this case, is very easy. This acts as a disadvantage as any person with the knowledge to sniff data can easily get knowledge about the user, username, password, and the data being transferred. The data were actually sent in plain text rather than the use of username and password, and the low level of security can be seen due to the early creation of FTP. This explains the slow level of security of the data and the non-authentication of passwords and usernames. OpenSSH (also known as OpenBSD Secure Shell) is a suite of secure networking utilities based on the Secure Shell (SSH) protocol, which provides a secure channel over an unsecured network in a clientserver architecture. FTP is very old and was created before the public network evolution. ![]() It is a protocol that is used for the transfer of files from a local computer to a remote location or from a remote location to a local computer. Used in the transfer of data files, and also allows to insert various commands that can be understood by the remote computer.įTP Stands for file transfer protocol. The network protocol is used for communication between two computers that are connected by an electrical path.Ĭomputers connected by electrical connection. The protocol is used for the transfer of files from a local computer to a remote location and vice versa. Comparison Table Parameters of comparison The SFTP shell interface supports the following commands: Connecting to SFTP Connecting to SFTP uses the same syntax as connecting to a remote system with SSH: sftp username remote hostname or IP address For instance, connecting to a server with the phoenixnap username at the IP address 192.168.100.7: sftp phoenixnap192.168.100. What Pythagoras and his followers did not realize is that this also works for any shape: thus, the area of a pentagon on the hypotenuse is equal to the sum of the pentagons on the other two sides, as it does for a semi-circle or any other regular (or even irregular( shape. He is mainly remembered for what has become known as Pythagoras’ Theorem (or the Pythagorean Theorem): that, for any right-angled triangle, the square of the length of the hypotenuse (the longest side, opposite the right angle) is equal to the sum of the square of the other two sides (or “legs”). Pythagoras discovered that a complete system of mathematics could be constructed, where geometric elements corresponded with numbers, and where integers and their ratios were all that was necessary to establish an entire system of logic and truth. Before Pythagoras, for example, geometry had been merely a collection of rules derived by empirical measurement. However, Pythagoras and his school – as well as a handful of other mathematicians of ancient Greece – was largely responsible for introducing a more rigorous mathematics than what had gone before, building from first principles using axioms and logic. It is a great tribute to the Pythagoreans’ intellectual achievements that they deduced the special place of the number 10 from an abstract mathematical argument rather than from something as mundane as counting the fingers on two hands. The holiest number of all was “ Tetractys” or ten, a triangular number composed of the sum of one, two, three and four. ![]() Odd numbers were thought of as female and even numbers as male. For example, the number one was the generator of all numbers two represented opinion three, harmony four, justice five, marriage six, creation seven, the seven planets or “ wandering stars” etc. The over-riding dictum of Pythagoras’s school was “ All is number” or “ God is number”, and the Pythagoreans effectively practised a kind of numerology or number-worship, and considered each number to have its own character and meaning. Resentment built up against the secrecy and exclusiveness of the Pythagoreans and, in 460 BCE, all their meeting places were burned and destroyed, with at least 50 members killed in Croton alone. There was always a certain amount of friction between the two groups and eventually the sect became caught up in some fierce local fighting and ultimately dispersed. The members were divided into the “ mathematikoi” (or “ learners“), who extended and developed the more mathematical and scientific work that Pythagoras himself began, and the “ akousmatikoi” (or “ listeners“), who focused on the more religious and ritualistic aspects of his teachings. Although Pythagorean thought was largely dominated by mathematics, it was also profoundly mystical, and Pythagoras imposed his quasi-religious philosophies, strict vegetarianism, communal living, secret rites and odd rules on all the members of his school (including bizarre and apparently random edicts about never urinating towards the sun, never marrying a woman who wears gold jewellery, never passing an ass lying in the street, never eating or even touching black fava beans, etc). ![]() The school he established at Croton in southern Italy around 530 BCE was the nucleus of a rather bizarre Pythagorean sect. ![]() Indeed, it is by no means clear whether many (or indeed any) of the theorems ascribed to him were in fact solved by Pythagoras personally or by his followers. He left no mathematical writings himself, and much of what we know about Pythagorean thought comes to us from the writings of Philolaus and other later Pythagorean scholars. But, although his contribution was clearly important, he nevertheless remains a controversial figure. It is sometimes claimed that we owe pure mathematics to Pythagoras, and he is often called the first “true” mathematician. |