Starting September 16, U2: UV Achtung Baby Live at Sphere will feature the spectacular MSG Sphere, an entertainment and musical performance venue located in Paradise, Nevada near the Las Vegas Strip, and now a spherical building, the largest in the world. . world, 366 feet high and 516 feet wide. It has a total of 17,600 seats and a capacity of 20,000 people.

According to the Sphere website, various parts of the entire space have been modeled after mathematical equations century, which were originally created by the architects and engineers of the building through virtual reality before construction began.

Mathematical formulas underlying Sphere:

• sphere area

  Sphere area was used to calculate the square meters of the exosphere, which includes 580,000 square feet of LEDs.

• sphere volume

  Did you know that you can fit the entire Statue of Liberty inside the sphere? Sphere Volume was used to calculate indoor square meters to maximize the size of its immersive technology, from our 160,000 square foot LED media plan (that’s 4 times the size of football fields!) to 17,385 seats inside The Bowl.

• finite element method

  Did you know that many parts of the Sphere were originally built in virtual reality? Our engineers and architects have used Finite element method convert such equations into computer models of key structures around, testing their strength and functionality even before they appear in real life.

• geodetic mathematics

  What does it mean to build the largest spherical building in the world? Lots of triangles. If you look closely at the exoskeleton of the Sphere, you will see the laws geodetic mathematics in action, where hundreds of interlocking triangles create 360° shape and structure for this world’s first immersive location.

• law of sines

  Like any global entertainment icon, the Sphere isn’t going anywhere if it doesn’t know our corners. law of sines it was used to calculate architectural angles throughout the building, from the pitch of the atrium escalators to the curve of the arches in front of you.

• Pi

  In Sphere, almost all the equations you’ll see revert to Pi. Defined as the ratio of any circle’s circumference to its diameter, we can calculate everything from the size of our pizza to the exact location of the best place in the house.

• stereographic projection

  stereographic projection helps explain how immersive visuals work in Sphere. Our custom cameras are inspired by this formula for capturing ultra-wide images that fit perfectly into the Sphere’s curved LED canvas while reflecting the science of how the human eye sees the real world around it.

• Visual acuity

  Have you ever met someone with perfect 20/20 vision? Equation for Visual acuity calculates the smallest point that the eye can see at a certain distance. Your ophthalmologist uses it to determine the prescription. We use it in Sphere to calculate how many pixels it takes to display ultra-high resolution images.

• Snell’s law

  Snell’s law tells how light passes through the lenses of the Sphere immersive cameras. If you’ve ever rotated your lens or moved your camera to better focus an image, this is the equation in action: it allows us to create sharp, perfectly focused 16K images.

• Lens projection formulas

  At The Sphere, our giant LED screen sits above and behind the audience, offering a completely immersive viewing environment. we use projection formulas lenses and the mathematics of spherical trigonometry determine how we display the images we capture onto this giant curved screen.

• Fanger equation

  Sit down, have a drink and make yourself comfortable. Fanger equation predicts how temperature changes are “felt” by the Sphere audience. We use it to calculate everything from the ideal settings for our air conditioning system to the amount of sag needed to make you feel like you’re in a 4D blizzard.

• Line voltage equation

  How can Sphere 4D effect blocks simulate the force of an explosion without an explosion? defining equation of line voltage determines how much air can be forced through a material without breaking or deforming—in our case, 1.499 million cubic feet per minute!

• Venturi effect

  He Venturi effect it’s an equation that fits perfectly with flow, especially the airflow that powers our 4D wind effects. While we prefer a light breeze, Sphere effect units can technically create gusts of up to 140 mph. That’s enough to blow the roof off a building!

• Navier–Stokes equations

  In the Sphere, you can sometimes find yourself in a fog. Navier-Stokes equations. it is a set of formulas used to calculate the flow and strength of our 4D effects, allowing us to create an otherworldly atmosphere in the theatre.

• Shannon–Hartley theorem

  There is nothing worse than falling behind when you are playing a video game. Using hidden math Shannon Hartley’s theoremSphere has been able to create a super-fast wireless environment so that 10,000 people can interact with our screen at the same time from anywhere in the house.

• Huygens–Fresnel principle

  Wavefield synthesis is the magic math behind the best sound in the business. He Huygens–Fresnel principle describes how sound waves propagate and combine into new waveforms. This allows Sphere to optimize sound for your ears, maintain spaciousness at a distance, and create breathtaking soundscapes with realistic fidelity.

• Helmholtz equation

  Helmholtz equation it is used to calculate how 3D sound travels through the Sphere. Behind our LED media bar are 168,000 speakers that use this math to create a realistic 360 sound environment that takes advantage of a new sound technology known as “wavefield synthesis”.

• Comprehensive Kirchhoff-Helmholtz approach

  Kirchhoff–Helmholtz integral this is crystal clear sound from Sphere. In most places, sound dispersion is a major problem, with some seats delivering much better sound than others. At Sphere, the power of mathematics helps us deliver optimal sound for every space in the house.

• Kirchhoff integral theorem

  He Kirchhoff integral theorem this is the hidden equation behind the Sphere’s ability to direct sound like laser beams. With it, we can deliver unique sound experiences to different listening locations throughout the room. Keep an eye on them as you explore.

• wave equation

  Wow, did you feel it? Infrasound is sound that can be felt but not heard. wave equation it is used to program and control the Sphere’s infrasonic seats and audio systems, allowing us to simulate a range of amazing ultrasensory effects, from tidal waves to a complete reversal of gravity.

• Hartley’s law

  At Sphere, we not only send light and music into space, we also receive them. Equations Hartley’s law they communicate how data can be transmitted over long distances. So the next time you see a live broadcast of the Earth, stars, or space sounds in the exosphere, this equation is in action!

• Laplacian

  Take out your phone and take a selfie. Notice how your camera immediately determined where your face was? He Laplacian operator it’s an equation that tells how cameras and computers can figure out what they’re looking at. We use these AI tools in Sphere to help capture and process our own ultra-high resolution images.

• Cauchy Moment Equation

  Hello! What is this smell? Cauchy Moment Equation it was used to size the superheated steam and compressed air pipes and hoses used to create the Orb’s atmospheric effects.

• Sellmeier equation

  By visiting the Sphere, you are likely to be transported to some pretty amazing places, from the far reaches of space to the bottom of the ocean. Sellmeier equation it helps us understand how light is filtered in different environments so we can capture them as close to life as possible.