The Curse of the Dragon Vase is a mystical legend that has fascinated people for centuries. According to the story, the Dragon Vase was a beautiful artifact decorated with intricate dragon designs. It was said to possess incredible powers and bring good fortune to its owner. However, the legend took a dark turn when it was believed that the Dragon Vase was cursed. It was said that anyone who possessed the vase would also inherit the wrath of the dragon spirit trapped inside. The curse would cause misfortune and tragedy to befall the owner and their loved ones.
You're probably not going to notice the extra weight of this rope on a short sport climb, but you'll feel it in your pack or on longer routes.
This is great for soft catches on lead, but can be dangerous or even scary for a seconder, particularly if there are obstacles on a climb that you don t want to hit, like a block or slab. In this Perspective article, we propose that a major philosophical change would benefit this field, a proposition that is based on evaluation of situations in which rodent models have provided useful guidance and in which they have led to disappointments.
The curse would cause misfortune and tragedy to befall the owner and their loved ones. The origins of the curse are unknown, and many believe it to be nothing more than a myth. But there are numerous stories and accounts of people who claim to have experienced the curse firsthand.
Coiling Rope in a Box
What is the longest rope length L of radius r that can fit into a box? The rope is a smooth curve with a tubular neighborhood of radius r, such that the rope does not self-penetrate. For an open curve, each endpoint is surrounded by a ball of radius r. For a box of dimensions $11\frac$ and rope with $r=\frac$, perhaps $L=\frac+\frac<\pi> \approx 1.3$, achieved by a 'U':
I know packing circles in a square is a notoriously difficult problem, but perhaps it is easier to pack a rope in a cube, because the continuity of the curve constrains the options? (I struggle with this every fall, packing a gardening hose in a rectangular tub.) I am more interested in general strategies for how to best coil the rope, rather than specific values of L. It seems that if r is large w.r.t. the box dimensions (as in the above example), no "penny-packing" cross-sectional structure is possible, where one layer nestles in the crevices of the preceding layer.
This is a natural question and surely has been explored, but I didn't find much. Edit 1. It seems a curvature constraint is needed to retain naturalness: The curve should not turn so sharply that the disks of radius r orthogonal to the curve that determine the tubular neighborhood interpenetrate. Edit 2 (26Jun10). See also the MO question concerning decidability. Edit 3 (12Aug10). Here is an observation on the 2D version, where a $1 1 2r$ box may only accommodate one layer of rope. If $k=\frac$ is an even integer, then I can see two natural strategies for coiling the rope within the box:
$\qquad \qquad \qquad \qquad \qquad$ Red is rope core curve, blue marks the rope boundary.
Interestingly, if I have calculated correctly, the length of the red rope curve is identical for the two strategies: $$L = 2 (k-1)[r \pi/2] + 2(k-1)^2 r \;. $$ For $r=\frac$, $k=8$ as illustrated, $L=\frac<7\pi> + \frac \approx 7.5$. (As a check, for $r=\frac$, $k=2$, and $L$ evaluates to $\frac<\pi>+\frac$ as in the first example above.)
- packing-and-covering
- mg.metric-geometry
- dg.differential-geometry
- open-problems
These tales often involve mysterious accidents, financial ruin, and even death. One of the most famous stories about the curse is that of a wealthy collector who acquired the Dragon Vase. He soon found himself plagued by a series of unfortunate events. His business crumbled, his family fell ill, and his home caught fire. Desperate to end the curse, he eventually sold the vase, and the misfortune ceased. The Curse of the Dragon Vase has captured the imagination of many, and it continues to be a popular topic of discussion and debate. Some believe in its supernatural powers, while others dismiss it as mere superstition. Regardless, the legend serves as a cautionary tale about the dangers of greed and the consequences of tampering with the unknown. Today, the Dragon Vase is considered a rare and valuable artifact. It is often featured in museum exhibits and private collections, where it continues to captivate audiences with its beauty and the mystery surrounding its alleged curse. And while the truth behind the curse may never be known, it continues to be a fascinating tale that reminds us of the power of ancient legends and the potential dangers they may hold..
Reviews for "The Curse of Dragon Vasy: A Haunting Legacy"
1. John - 2 stars - I was really disappointed with "Curse of the Dragon Vasy". The storyline was confusing and poorly executed, making it hard for me to follow along. The acting was subpar, with the performances feeling forced and unnatural. The special effects were also lackluster, failing to create a believable world for the characters. Overall, I found it to be a forgettable and underwhelming film.
2. Sarah - 1 star - "Curse of the Dragon Vasy" was a complete waste of my time. The plot was cliché and predictable, with no originality whatsoever. The characters lacked depth and development, making it hard to care about their fates. The dialogue was cringe-worthy, filled with cheesy lines that felt forced. I found myself checking my watch multiple times, hoping for the movie to end. I would not recommend this film to anyone looking for a quality fantasy experience.
3. Michael - 2.5 stars - I had high hopes for "Curse of the Dragon Vasy" as a fan of fantasy movies, but unfortunately, it fell short of my expectations. The pacing of the movie was off, with some scenes dragging on while others felt rushed. The CGI effects were mediocre at best and didn't seamlessly blend with the live-action footage. The character development was lacking, leaving me feeling indifferent towards their struggles. Overall, it had the potential to be a great fantasy film, but it failed to deliver a captivating and immersive experience.