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Hypersphere Mini – Hyperice Nordic

Perfect for travel, the TSA carry-on approved Hypersphere Mini targets your tightest areas with precision to help you move better wherever you roam.

€97,37

In stock

The Hypersphere Mini is a massage ball that fits into the palm of your hand. With three speeds of vibration—low, medium, and high—you can roll it over your muscles, wherever they need some loosening up.

The compact, textured, vibrating Hypersphere Mini is an affordable, travel-friendly massage ball that fitness enthusiasts swear by. Ideal for rolling out after a workout, but also great for those long workdays spending too much time sitting down.

A hard outer shell optimizes vibration intensity and muscle connection

Pinpoint specific areas with three powerful speeds

Hypersphere Mini

The actual device

USB Cable

To plug your device in and charge

Desktop Stand

To rest your device on

Hypersphere routines

Hypersphere Mini review: Powerful and portable relief

Fitness

Health

A small but effective self-massage orb for treatment at home and on the go.

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While they can’t replace the healing hands of a trained professional (at least yet), recovery tools have come a long way in recent years. It wasn’t that long ago that foam rollers—big cylinders of varying firmness that you lay on the floor and then roll back and forth over as a form of self-massage—were a novelty, mostly found in specialty sports stores and elite locker rooms. Now, there’s a whole world of recovery tools that come in just about every size, shape, and texture imaginable, with high-tech features such as vibration, compression, and temperature control.

The Hypersphere Mini by Hyperice, currently priced at $79, is one such techy tool. Roughly the size of a large orange but heavier and with a grippy rubber surface, it’s a deep tissue massager meant to pinpoint muscles that are sore, tight, or generally in need of some care. Like a foam roller, it’s placed on the ground and then rolled across using whatever body part requires attention at the moment: a hip flexor, calf, or hamstring, for example. But unlike lacrosse and tennis balls, which have long been used by athletes for similar purposes as the Hypersphere Mini, this tool ups the massage ante by offering three levels of vibration.

SEE ALSO: The best fitness trackers for keeping up with your goals

After two weeks of daily testing (between five to ten minutes per session), here’s where I stand on the Hypersphere Mini:

The size is great, and actually travel friendly

While most recovery tools purport to be “travel friendly” and are indeed TSA approved, they’re so bulky, long, or heavy that the odds of me actually packing them for a plane trip are slim. The Hypersphere Mini is an exception. It’s slightly smaller than a softball and weighs just one pound, so it would fit fine inside a carry-on (and is TSA approved for that) and also wouldn’t make much of a dent in a checked bag. Not only would it be handy for pre- and post-run self-massage, it may also nudge me to spend a little time on my legs and glutes at the end of a long travel day, which never fails to leave me feeling stiff and tight.

The shape adds versatility

It may take some getting used to for foam roller veterans, but I’ve recently grown to love the shape of the Hypersphere Mini. The orb makes it easy to pinpoint specific areas such as a calf knot, and it’s also a perfect shape for rolling out feet—which, from my marathoner’s opinion, are easy to neglect but critical to keep loose and stay on top of. It’s true that a sphere can’t target as extensive of an area as a cylindrical foam roller can, meaning it’s probably not the best choice for a generally sore back, for example. But as I see it, what you lose in breadth, you make up for in precision.

The texture lets you use it anywhere

One session made clear that the Hypersphere Mini’s surface was thoughtfully designed. The hard outer shell allows for a deep and effective massage, while the grippy rubberized texture prevents it from sliding around smooth surfaces. I tried it out on shaggy carpet, hardwood floors, and a yoga mat, and got in a good massage in each place. In addition, there are shallow ridges all around the sphere that help it stay in place while unattended—something I cannot say for the lacrosse and tennis balls that this tool has replaced.

The vibration packs a punch

For such a small object, the Hypersphere Mini is surprisingly powerful. Even just holding it, it’s apparent that the vibration is strong, and it gets increasingly so as you toggle through the three different levels (low, medium, and high). When it’s on the ground and under the pressure of body weight, it’s even more powerful. I was able to dig as deep as I wanted everywhere I tried, including thicker muscles like glutes that comparable devices often cannot handle.

Interestingly, the regular Hypersphere, which is significantly larger and heavier than the Mini, has a high-torque 30-watt motor, while the Mini’s is 40-watt. That gives the smaller version a leg up, in my books.

The battery life is sufficient

The Hypersphere Mini’s battery lasts two hours, which seems to be standard for at-home recovery devices these days. (That’s comparable to other Hyperice tools I’ve reviewed, including the Hypervolt and Vyper 2.0, and as good as or better than the regular Hypersphere, which lasts up to two hours). Although a bigger batter would be nice and require less frequent charging, a couple of hours actually goes a pretty long way when each use lasts from a few to about ten minutes—a solid self-massage session, especially with the vibration component. If you think you’ll be a more frequent user, keeping the charger nearby and making a habit of juicing it up overnight would be an easy way to ensure it’s always ready when you need it.

Roll with it?

Two weeks into my Hypersphere Mini trial, I don’t have much criticism for this compact, powerful self-massage device. The size, shape, and texture make it easy to use anywhere, whether at home or on the go, and the three levels of vibration provide all the intensity I want in a recovery tool. At its current price of $79, it’s also quite affordable—less than what a typical hour-long in-person massage runs, and with a longer payoff, too.

The only drawback I can think of (besides the fine but not stellar battery life) is that, unlike some devices like the Hypervolt and Venom Back that can be used while seated or standing, the Hypersphere Mini requires some floor space and effort. But handheld devices have their own issues that should be considered too, including the reality that you can get a deeper massage when using pressure from your whole body rather than relying on arm strength alone.

Final verdict: While I’d still recommend pairing at-home bodywork with that by a pro (such as a sports masseuse, soft tissue therapist, or chiropractor), the Hypersphere Mini by Hyperice would be a valuable tool in any active person’s quiver, and seems well worth the cost to me.

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Hypersphere | it’s… What is the Hypersphere?

Stereographic projection of the surface of a 3-sphere onto a three-dimensional space. The figure shows three coordinate directions on a 3-sphere: parallels (red), meridians (blue) and hypermeridians (green). In the original space, these lines are circles and form a rectangular grid on the 3-sphere. Stereographic projection is a conformal mapping, so their images are also circles or lines and are orthogonal to each other.

3D projection of an approximation of a hypersphere in a four-dimensional space Hypersphere is a hypersurface in -dimensional Euclidean space formed by points equidistant from a given point, called the center of the sphere .

  • when the hypersphere degenerates into two points equidistant from the center ;
  • when it is a circle;
  • when a hypersphere is a sphere.
  • when the hypersphere is a 3-sphere.

The distance from the center of the hypersphere to its surface is called the radius of the hypersphere . A hypersphere is an -dimensional submanifold in -dimensional space, all normals to which intersect at its center.

Contents

  • 1 Equations
  • 2 Hyperspherical coordinates
  • 3 Area and volume
  • 4 Hypersphere topology
  • 5 Notes
  • 6 See also
  • 7 References

Equations

Radius hypersphere centered at a point is given as the locus of points satisfying the condition:

Hyperspherical coordinates

As is known, polar coordinates are described as follows:

and spherical coordinates like this:

An n-dimensional ball can be parameterized by the following set hyperspherical coordinates :

The Jacobian of this transformation is

Area and volume

Surface area of ​​a hypersphere of dimension x of unit radius depending on x.

The volume of a hypersphere of dimension x with unit radius depending on x.

The surface area of ​​a hypersphere of dimension and the volume bounded by it (volume of a ball) can be calculated using formulas [1] [2] :

where

a – gamma function. This expression can be given another form:

Here is the double factorial.

Since

then the volumes of the balls satisfy the recurrence relation

The following table shows that the unit sphere and volume take on an extreme size for and respectively.

Areas and volumes of hyperspheres and hyperballs with unit radius
Size 1 (length) 2 (area) 3 (volume) 4 5 6 7 8
Single

sphere

Decimal

entry

6. 2832 12.5664 19.7392 26.3189 31.0063 33.0734 32.4697 29.6866
Single

ball

Decimal

entry

2.0000 3.1416 4.1888 4.9348 5.2638 5.1677 4.7248 4.0587

Topology of the hypersphere

In this section, a sphere is an n-dimensional hypersphere, a ball is an n-dimensional hypersphere, that is, , .

  • The sphere is homeomorphic to the factorization of the ball by its boundary.
  • Ball is homeomorphic to factorization.
  • The sphere is a cellular space. The simplest cell decomposition consists of two cells, homeomorphic and . It is obtained directly from the construction of a sphere as a factor space of a closed ball. A cell partition can also be constructed by induction, splitting along the equator into two n-dimensional cells, homeomorphic, and a sphere, which is their common boundary.

Notes

  1. ↑ Vinogradov I.M. Mathematical encyclopedia. – M .: Nauka, 1977, – v.5, p. 287, article “Sphere” – formula for the volume of an n-dimensional sphere
  2. ↑ L. A. Maksimov, A. V. Mikheenkov, I. Ya. Polishchuk. Lectures on statistical physics. Dolgoprudny, 2011. – p. 35, derivation of the formula for the volume of an n-dimensional sphere through the Euler-Poisson-Gauss integral

See also

  • Hopf bundle

Links

  • Hypersphere (Project d’Amateur). Programs for modeling the approximation of a four-dimensional hypersphere and meridians
  • Hypersphere Imagination Trainer: Rubik’s Cube in 4 or more dimensions

Theory of the hypersphere – Andrey Livadny. Official website of the author ical theory of the hypersphere, published in 2209year by Johann Ivanov-Schmidt, opened the way to the stars for people.

The study of records depicting all the details of the catastrophe that occurred when the main engines of the colonial transport “Alpha” were turned on allowed the young astrophysicist, then unknown to anyone, to suggest that in fact the ship did not die, but was rejected into another spatial dimension (confirmation of his bold hypothesis will be received only a millennium later).

Johann Ivanov-Schmidt characterized the anomaly of space-time as an energy universe, the structure of which is the carrier of all existing gravitational interactions of matter, and also created the first drawings of a hyperdrive, substantiated the very possibility of a controlled transition between the cosmos habitual for a person and the hypersphere space.

His discovery was soon confirmed in practice, which marked the beginning of the era of the Great Exodus.

According to the classical theory, the hypersphere is divided into ten energy levels – they can be represented as spheres nested into each other, penetrated by a grid of horizontal and vertical tension lines.

An arbitrarily chosen section of the contour grid (due to the imperfection of the detection instruments) will display only the most powerful gravitational relationships of the stars closest to each other. Typically, a stable, navigable line of tension links star systems no more than fifteen light-years apart. For example, sixty horizontal lines of force of the hypersphere lead from the solar system, but, moving along one of them, we find ourselves in the so-called “nodal point”, where access is opened to new segments of the most complex extra-spatial web, which, in turn, display the interconnections of the star system that we have reached with its nearest neighbors.

In theory, moving along the lines of tension, the spacecraft is able to reach any star in our Galaxy. From the Solar system, it is necessary to move along the chosen horizontal to one of the sixty available “ascent points”, thus getting to the “nodal junction”, from which new lines of tension originate, leading already to other stars. Sliding repeatedly from node to node, changing the “leading” lines of force of the anomaly, can ultimately lead the spacecraft anywhere.

The grid of contour lines is repeated at each energy level of the hypersphere. At the same time, with each new level, the distance between the points is reduced, eventually tending to zero.

The main instrument of hypersphere navigation is a mass detector, a device that fixes anomaly field lines, so named in the era of “blind jerks”, when it became clear that the most stable lines of the hypersphere connect objects with stellar mass to each other.

The picture shows a mass detector made in a handicraft way by one of the navigators of the era of the Great Exodus. The device is a unique exhibit of the Elian Museum of the History and Archeology of Space.

I will use his example to explain the above.

So, we took a small number of stars, so as not to introduce a traveler. They are located at different distances from the solar system.

Green indicates navigable hypersphere lines connecting star systems less than 15 light-years apart.

The lines of the hypersphere leading to the stars beyond the limits of the scheme (detector resolution) are marked with a blue dotted line.

1. – The solar system. 2, 3. – star systems within a radius of 5 light years from the Sun. 4, 5. – stellar systems within a radius of 10 light years from the Sun. 6, 7, 8. – star systems within a radius of 15 light years from the Sun. 9, 10, 11 – star systems within a radius of 20 light years from the Sun.

The colonial transports of the Exodus era moved along the green navigation lines. They could try to turn on the low-frequency generators and make a transition to the “normal” metric, or change the navigation line at the nodal point and move on.

For example, to get to star #9 (it is located outside the jump range), you can use different routes:

1-3-4-9 1-4-9 1-6-4-91-2-9 1-7-9 1-8-7-9

The main problem of hypersphere navigation was that navigators and pilots, not possessing the skills of flying in the hypersphere, often did not have time to respond to the appearance of a nodal point where “surfacing” is possible. Therefore, most of the colonial transports continued to move along the grid of lines of tension until the ship began to lose power. Thus, as a result of “blind jerks”, most of the ships ended up hundreds, and sometimes thousands of light years from the solar system, without the opportunity to return, repeat the route they had traveled.

Hyperdrive

High frequency generators are used for diving into the hypersphere, low frequency generators for ascent. The principle of their work is based on the knowledge that the hypersphere is an area of ​​specific energies. When a material object (in particular, a spaceship) creates a field in the circuit of generators with characteristics that are unacceptable for the physics of our continuum, a funnel of hyperspace transition appears, and it is rejected into the hypersphere. To ascend, a reverse process is required. Low-frequency generators create a field that does not correspond to the surrounding energy, and the hypersphere seeks to “push” an object unusual for it into the metrics of three-dimensional space.

All modern hyperspheric navigation is built on this principle, they are used by HF (Hypersphere Frequency) stations to implement hyperspatial communications between worlds.

Over a millennium of active research, Mankind has brought the hyperdrive to a certain degree of perfection. Modern ships move freely within the four energy levels of the anomaly, using horizontal lines of tension as guiding threads leading from star to star. Accurate hyperspheric navigation instruments have been created, pilots have learned to calculate energetically favorable points of descent and ascent. In the modern arsenal of any pilot, there is a wealth of experience accumulated by his predecessors and a wide range of devices that allow the ship to stay both in the hypersphere itself and on the border of two metrics for a long time. This method is widely used by fleet combat units for reconnaissance of surfacing points: by maneuvering low and high frequency generators, the ship is able to remain on the border of two spaces, while it is invisible to enemy detection systems, but has the ability to release small reconnaissance probes.

In each system (depending on the relative position of the star and planets) there are several “energetically favorable” points of immersion and ascent, that is, areas where the ship will spend a minimum of energy to break through the metric. However, in principle, the initiation of a jump is possible at any point in space, but more energy may be needed in this case.

Marked and unmarked hypersphere lines

Each of the mastered star systems has a Hypersphere Frequency station, which, in addition to maintaining the Interstar network, generates a unique navigation mark embedded in the structure of a certain field line. Thus, the pilots know exactly where the given contour leads.

The indisputable value of modern space is systems that are suitable for settlement or have large reserves of resources. Their search is carried out by dispatchers – free pilots, carrying out the most dangerous surfing along the network of unmarked lines of the hypersphere. Explored routes are plotted on special maps, less often they are marked with beacons.

The verticals of the hypersphere (according to the classical theory) reflect the global gravitational interaction of the Nucleus of the Galaxy with all star systems. The verticals pierce ten energy levels and converge at a point located within the central energy cluster, shaped like a miniature model of our Galaxy.

As a rule, the cause of “failures” of spaceships on the vertical of the hypersphere is the excess amount of energy used by the hyperdrive to break through the space metric. The energy universe obeys its own laws, the understanding of which did not come immediately.

If the energy spent to break through the space metric is excessive, then the hypersphere moves the spacecraft to the appropriate energy level. In this case, the transition occurs spontaneously, within the boundaries of the vertical. To enter the horizontal grid, it is necessary to know the exact value of many parameters in order to calibrate high-frequency generators.

In the early hyperdrive models, the ability to accurately calibrate the high and low frequency generators was not provided. Later studies showed that when falling to the Vertical, the pilots made the same type of fatal mistakes – fixing the growing voltage of the accompanying fields, they maximized the power of the high-frequency circuit, which only aggravated the situation, provoking a further uncontrollable breakdown, up to the tenth energy level of the hypersphere.

Later, improved models of hyperdrives allowed spacecraft pilots to manipulate high and low frequency generators to “dive” into the boundaries of the required energy level of the hypersphere.

The question arises: why the first colonial transports, in the absence of effective means of protection, were not destroyed when falling to the Vertical, did not turn into energy flows?

The reason is hidden in the unique properties and structure of the lines of tension themselves: any material body, having got into their boundaries, behaves like a particle, moving at the speed of the energy flow, without experiencing a destructive effect.