novaTopFlex continues to seek interests in New England, New York, the Mid-Atlantic, and the Great Lakes and Upper Midwest as well. The current focus is centered around northern Wisconsin; however, novaTop is open to suggestions of interests in neighboring Michigan and Minnesota as well. The surrounding area is often associated with Scandinavian and broader Nordic culture, and while Finland is not Scandinavian, the western Upper Peninsula of Michigan is the cultural center of Finnish America.
Month: October 2025
-
Interesting Mathematics Facts
Preamble
novaTopFlex returns to a mathematic conquest of the journey to the top, the gateway to pure mathematic joy and excellence, and all the way to the purest forms of excitement! The novaTop community shall anticipate the highest performance levels possible in every respect in terms of what is considered ideal, desirable, and acceptable, with very high standards to ensure accuracy, fairness, and correctness. Starting with phase one, where a calculator is allowed, recommended, and encouraged, but going into phases two and three, as novaTop approaches the state and national conquest stages, it gets very important to be prepared for every possible next step.
Curious Facts about the Journey
Individuals and groups may understand trigonometry and related mathematics topics at a basic level, but the common people may not know, for instance, that adding the arctangent of one-third to the arctangent of one-seventh results in the arctangent of one-half. Additional quirks also include the identities which occur when cosines of angles are multiplied by cosines of sixty degrees minus the respective angles followed by cosines of sixty degrees plus the respective angles. With both sine and cosine relationships, the identities are identified as triple-angle identities thence divided by four.
Additional formulae can be derived from existing trigonometric properties, including from a baseline understanding of the sine and cosine functions and relationships. But any trigonometric function can be expressed in terms of the remaining functions, depending on the specific context. For instance, sine is the square root of the difference of one and cosine squared, while cosine is the square root of the difference of one and sine squared.
With algebraic formulae intact, cubic functions can be solved with Cardano’s formula for the determinants at a minimum, but the solutions are often difficult if not impossible to achieve. Quartic functions can also be solved using radicals; however, per the Abel-Ruffini theorem, quintic and higher-order functions almost never can be solved in such terms, with the simplest example being “x to the fifth minus x minus one equals zero.”
-
Interesting Quirks about novaTopFlex
- Name: Andrew Kay
- Favorite colors: Blue, violet, magenta, red, and every color from within the spectrum in between
- Favorite city (for privacy reasons, only out of the cities of population over 100,000): Boston
- Favorite state: Vermont
- Community Statement: Unique personalities and unique identities bring light to the table of a certain persona. Depending on the natural state of a certain personality, the roles fulfilled may as well vary dramatically. While the lived experiences of novaTopFlex are often associated with a socio-communal living preference, including the desire for utopia, numerous facets of life beyond the bonding can also be heterological.
- YouTube Channels: novaTopFlex, geoTopFlex, futoTopFlex
-
The novaTopFlex Map of Interests Continued
novaTopFlex continues to discover new interests across New England, New York, the Mid-Atlantic states, and the Great Lakes region. In the region of Yankeedom, individual and community values are always welcomed and the community is frequently more important than the individuals within. Even as far west as places like Jamestown, North Dakota; Aberdeen, South Dakota; or Vermillion, South Dakota, the community is generally valued more deeply than the general individual populations.
-
novaTopFlex Posts Can Be Charged. Why?
The posts of novaTopFlex, whether in text, audio, photo, video, or other form(s), can often be regionally charged because of the cultural disparities between regions. Colin Woodard had written an entire book about the existence of eleven rival cultures in the United States of America alone, with many of these cultures extending across international borders, as well. While the Deep South could see novaTopFlex posts as a lifestyle change from their social scripts and traditional roles being enforced, Yankeedom might see these posts as a form of “common sense.”
Yankeedom, as a region, was chiefly Pilgrim and Puritan at the very beginning but with Pilgrims absorbed into Puritan culture later on and, eventually, the outgrowth of Puritanism and secularization of the region. As such, Yankeedom is the epitome of the separation of church and state, with the Northern New England states ranking as the least religious nationally. In stark contrast to Yankeedom, however, include regions such as the Midlands, Greater Appalachia, and the Deep South, whether through the direct or indirect promotion of conflicting values such as individualization, privatization, or traditional social or hierarchical scripts or otherwise.
-
“Success” through Elizabeth Cady Stanton
When I hear the word “successful,” I often turn to thinking about Elizabeth Cady Stanton, a well-known political and cultural activist regarding equal rights for both sides of the binary, even though the binary itself had not yet been challenged in her era. She was a notable figure from the Seneca Falls Convention in Seneca Falls, New York, for her role in women’s suffrage rights.
-
Neighbors Slow Down the Pace of Life
For someone to be a good neighbor, they must prove that they can slow down one’s pace of life and enforce community while also focusing on enforcing the norms of communal values over stereotypical and/or traditional social scripts. In my personal experience, I have always ever been trapped within a false sense of “safety” by being forced to live in suburbia where, in fact, I am actually at risk of feeling unsafe because of my lack of community and because of the crisis of capitalism.
-
Capitalism Causes Procrastination
I have largely been putting off on my homework until the very last minute, unfortunately, particularly as the capitalist system is well-known for causing procrastination that the system punishes and calls “laziness.” Both “laziness” and “procrastination” are capitalist constructs in the very exact shape and form that results in the concept of deadlines as a capitalist construct, even if indirectly. This is particularly “alarming” and/or “concerning” on my computer science classes as I absolutely doubt that I would ever know absolutely everything perfectly in any meaningful way(s).
-
The Risky Conquests of Talking to Strangers
Honestly, the first time I had ever felt like a grown-up was actually the first time I had gained access to actually talk to strangers over the Internet. Unfortunately, there is no respite nor help and safety is a punishment of the suburbanization crisis, and I have always longed for an escape hatch from society and from general societal norms and toward either perfectly cosmopolitan utopia in Yankeedom or vast expanses of rural areas also in Yankeedom.
-
One Million Dollars for Maine’s State Artist
If I had one million dollars to give away, then I would most likely give the money away to the “Official State Artist of Maine,” Eric Hopkins, of Rockland, Maine and North Haven, Maine. Because Eric Hopkins is well-renowned in the State of Maine for his artwork, and because he has a brother who might be in the LGBTQIA+ community (impossible to know for sure), I would absolutely wish to give my million dollars to give away to Eric Hopkins and his family line, since he was born all the way back in 1951.
-
The novaTop Travel Itinerary: Progress and Surprises
Preamble
novaTopFlex was initially expecting a set of values where alignment could occur specifically within Vermont and Western Massachusetts (the Berkshires and Pioneer Valley). However, even with a certain economic mindset where utopian communal values are highly preferable with a balance of interdependent daylight and independent privacy by night, novaTopFlex continues to identify surprises where energy alignment continues to occur even beyond the northwestern corner of New England and into the remaining states of New England (save for New Hampshire, where values alignment occurs uniquely along U.S. 202), plus New York (both the city and the state), plus New Jersey, Pennsylvania, and perhaps even into the Upper Midwest.
Surprise Interests through History
Throughout the crossroads of such a region of Yankeedom, combinations of modern and traditional interests abound to create a pure and precise collection of locations where novaTop values are most compatible and most commonly interpreted correctly. Such regions include the aforementioned Northeast and Upper Midwest, though surprises could also exist elsewhere, particularly in Columbus, Ohio; Washington, District of Columbia; and Richmond, Virginia.
-
novaTopFlex Interests Outside the Northeast
Even though novaTopFlex may prioritize the Northeastern United States over all other regions of the nation, numerous locations in the Great Lakes region and the Upper Midwest in general may also be of particularly deep interest under similar historical values and common strangles of historical significance with the New England region. Of particular interest to the novaTop community domestically are the northern fifth of Ohio, the northernmost tier of counties in Indiana, all of Michigan, all of Wisconsin, all of Minnesota, Northern Illinois, the northernmost counties of Iowa, and the extreme east of both North Dakota and South Dakota.
-
Yankeedom: Connections Beyond New England
novaTopFlex values are also compatible with cultural logic not just in New England and into New York and the northernmost portions of Pennsylvania but into the Great Lakes region as a whole, plus also into the easternmost stretches of both North Dakota and South Dakota at the westernmost extreme(s). Additional states of interest may include Michigan, Wisconsin, and Minnesota; the northernmost tiers of Ohio, Indiana, Illinois, and Iowa shall also be included.
-
Alfred, New York
How can a very small community in rural Allegany County in Western New York have such an extensive cultural powerhouse? Alfred, located in such a rural area within range of Wellsville (largest community) and Belmont (county seat), is capable of captivating nontraditional lived experiences and even lived experiences in counter cultural movements because of historical contexts of the Burned-over District as well as the modern context in which the Alfred State branch of SUNY coincides with Alfred University. Interestingly, the community contains two colleges but only one stoplight and is associated with the ceramics industry.
