A magic square cube is a three-dimensional version of a magic square. A magic square is a grid of numbers where the sum of the numbers in each row, column, and diagonal is the same. Similarly, a magic square cube has the property that the sums of the numbers in each row, column, diagonal, and pillar (vertical columns) are all equal. To visualize a magic square cube, imagine a 3x3x3 cube with numbers from 1 to 27 arranged inside it. Each of the nine layers of the cube is a 3x3 magic square, and the sum of each row, column, diagonal, and pillar is equal. It is quite challenging to construct a magic square cube, as there are fewer possible solutions compared to a regular magic square due to the added constraint of matching sums in the vertical direction as well.
The Blackmagic Studio cameras support the SDI tally standard used on all ATEM live production switchers and the HDMI tally used on ATEM Mini switchers. This means that a director can cut between cameras and the tally information will be sent back to the cameras via the SDI program return feed, lighting up the tally light on the camera whenever it's on air. SDI tally eliminates complex wiring so job setup is faster.
Talkback uses audio channels 15 and 16 in the SDI connection between the camera and the switcher, and in the program return from the switcher to the camera. You can even shoot without a switcher as the large screen makes the camera fantastic for shooting while recording to Blackmagic RAW on a USB flash disk.
It is quite challenging to construct a magic square cube, as there are fewer possible solutions compared to a regular magic square due to the added constraint of matching sums in the vertical direction as well. The concept of magic square cubes can be extended to higher dimensions as well. For example, a 4x4x4 magic cube has 64 numbers arranged in a 4x4x4 grid, and the sums of the rows, columns, diagonals, and pillars are all equal.
Blackmagic Pocket Cinema Camera 4K (MFT)
The Blackmagic Pocket Cam 4K is a predecessor to the BMPCC 6K and provides DCI 4K image capture in RAW and ProRes 422 to CFast 2.0, SD, and external USB -C drives. Key features include:
- Micro 4/3, 18.95 × 10mm, CMOS sensor
- 13 stops of dynamic range
- DCI 4K capture to RAW and ProRes
- Records to CFast 2.0, SD UHS -II, & external USB -C drives
Updated M4/3 DCI 4K Sensor. Blackmagic has made some much needed improvements to the second iteration of the Pocket Cam, and it all starts with a larger, higher resolution sensor. It offers DCI 4K capture up to 60p in 12-bit Blackmagic RAW and a number of 10-bit ProRes 422 options. Frame rates can be extended to 120 fps when shooting in cropped 1080p. Looking for an updated version of this camera with 6K capture? Check out the Blackmagic Pocket Cinema Camera 6K.
Dual ISO Sensitivity. Low-light sensitivity is improved over the gen-one Pocket Cinema Cam by an increase in the sensor size, but also thanks to a new dual ISO feature. It allows users to modify the camera’s native ISO to reduce noise at higher sensitivities. The BMPCC 4K ISO range extends up to ISO 25,600.
Micro 4/3 Lens Compatibility. The camera has an active micro four-thirds lens mount for compatibility with a wide range of lenses from manufacturers like Panasonic & Olympus. Use existing adapters to enable the use of EF lenses, PL lenses, C-mount lenses, and more.
High Battery and Media Demands. To allow the capture of 4K/60 RAW files, the BMPCC 4K takes CFast 2.0 and SD UHS -II, and you’ll only get about 7 minutes per 256GB at that format. External USB -C drives can also be used for longer record times with a lower cost per gigabyte. Power is provided by common Canon LP-E6 or LP-E6n batteries but be warned, this camera will eat through a fully charged battery in approximately one hour. Please plan your power and memory needs accordingly.
Other Features. The camera has a big 5" touchscreen monitor on the back, but video can be monitored externally via the full size HDMI port. It provides high quality audio input and 48V phantom power to microphones via its mini XLR input. Use of professional microphones will require an XLR female to mini XLR adapter cable, which is not included with the rental.
Need an Adapter? Metabones has developed some EF adapters specifically for this camera. Check out the Metabones Canon EF to BMPCC4K Speed Booster T Ultra and the Metabones Canon EF to BMPCC4K Speed Booster T XL.
Need a Memory Card? You’ll need an ultra-fast memory card for a camera this powerful, and we recommend the Sony 128GB SF-G Tough Series UHS -II SDXC . This camera can take full advantage of its superior 299 MB/s max write speed and 300 MB/s max read speed for high-resolution, high-bitrate capture.
Constructing a magic square cube of higher dimensions becomes increasingly complex and requires advanced mathematical techniques. Magic square cubes have been studied for centuries, and they have a fascinating connection to mathematics and symmetries. They have also found applications in various fields, such as computer science and cryptography. Finding and analyzing magic square cubes is an engaging intellectual pursuit for mathematicians and puzzle enthusiasts alike. In conclusion, a magic square cube is a three-dimensional arrangement of numbers where the sums of rows, columns, diagonals, and pillars are equal. It is a challenging mathematical concept that has fascinated scholars for centuries. Constructing and analyzing magic square cubes require intricate mathematical techniques and have applications in various fields..
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