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Scale of the Universe: Interactive Zoom from Quarks to the Observable Universe

🔭 Grades 6–12 · AP Physics · intro astronomy · powers of ten
Drag, scroll or press Guided zoom to travel through 42 powers of ten. Click any object to focus on it, compare any two, and open 3D views of atoms, DNA, Earth and Moon, the Solar System and the Milky Way. Every size is to scale and comes with its source.

🔭 Zoom from a proton to the universe

Scale of the Universe50 objects · 10⁻¹⁸ m to 10²⁷ m · sizes to scale
Click an object to focus · drag or scroll to zoom

Sizes are rounded values from the sources listed under each object. Drawings are schematic and are not photographs: Earth’s coastlines come from Natural Earth map data (public domain); its colours, clouds and lights, and the surfaces of the Moon, planets and galaxies, are generated in code. Objects are laid out side by side at one common scale: the one in the middle is the one you are zoomed in on, and bigger neighbours run off to the right.

⏳ Light time machine: which star’s light left when you were born?

Light is fast but not instant. When you look at a star you see light that left it years ago, so a star that is as many light-years away as you are years old is showing you light that set off the year you were born.

Looking out is looking back in time

🌌 My address in the universe

Where are you, really? Type your town and country and get your full cosmic address, from your street out to the edge of the observable universe, as a picture you can save or share.

Nothing you type leaves this page: the card is drawn in your browser.

    🚶 Walk the Solar System

    Build a scale model of the Solar System on your playground or street. Put a ball for the Sun at the start, then walk: the table tells you where each planet goes and how small it is. On a phone you can also let the GPS tell you which planet you have reached.

    GPS works outdoors on a phone and is accurate to about 5–10 m, so use a big scale (football or larger). Your location is only used on this device.

    How to use it

    The idea, step by step

    Start with what you know

    You are about 1.7 metres tall. A cricket ball is about 7 centimetres across, a honey bee about 1.3 cm, the width of a human hair about 0.07 mm. Going up, a blue whale is 25 m long, the tallest tree is about 116 m, and Mount Everest rises 8,849 m. Each of these can be pictured. The trouble starts when we go a lot further: Earth is 12,742 km across, the Sun is 109 times wider than that, and the nearest star is 4.25 light-years away. The numbers get too big to feel, so scientists compare sizes by asking how many times bigger.

    Use powers of ten

    Write every length as 10 to some power: 1 m is 10⁰, 1 km is 10³, 1 mm is 10⁻³. Each time the power goes up by one, the length is ten times bigger. A hydrogen atom is about 10⁻¹⁰ m and a person about 10⁰ m, so a person is about ten billion times bigger than an atom: ten powers of ten. To compare two things you only have to subtract their powers.

    Why most of the scale looks empty

    If you zoom from a hydrogen atom to its nucleus you cross a factor of about 63,000, and there is nothing between them but the electron cloud. In the same way, the Sun is 1.4 million km wide but its nearest neighbour is 40 trillion km away: about 29 million Sun-widths. Matter in the universe is gathered in tiny, dense specks (nuclei, planets, stars) separated by enormous gaps. That is why the picture slides past long stretches with little in them.

    The precise version

    The tool plots log₁₀ of each size, so equal steps on the ruler under the picture are equal ratios, not equal lengths. The picture itself uses one true scale at a time: all objects are drawn at the same metres-per-pixel, side by side, so the ones next to the one you are zoomed in on are shown at their real relative sizes. Light travels at c = 299,792,458 m/s, so any size can also be given as a light-crossing time t = d/c, and a light-year (9.46×10¹⁵ m) is just the distance light covers in one year. For the observable universe the crossing time is not a real travel time, because space expands while the light is on its way.

    Try this in the simulation
    1. Focus on the Hydrogen atom, then use Compare with → Proton. About 63,000 times: if the atom were a 200 m stadium, the nucleus would be a 3 mm grain.
    2. Press Guided zoom and count how many stops it takes to get from you to the Earth, and from the Earth to the universe. Which journey is longer on the ruler?
    3. Open the Solar System 3D view. Choose True scale and try to find Earth, then switch to Compressed to see why textbook pictures are never to scale.

    Powers of ten and light-travel time

    x = log₁₀(d / 1 m)The position on the ruler: x = 0 is 1 m, x = −9 is 1 nm, x = 3 is 1 km, x = 26.9 is the observable universe.
    d₂ / d₁ = 10^(x₂ − x₁)How many times bigger? Earth: x = 7.105. Moon: x = 6.541. The difference is 0.564, and 100.564 = 3.67, so Earth is 3.67 times wider than the Moon (12,742 km ÷ 3,475 km = 3.67).
    t = d / cLight-crossing time with c = 3.00×10⁸ m/s. Earth to Sun: d = 1.496×10¹¹ m, so t = 1.496×10¹¹ ÷ 3.00×10⁸ = 499 s = 8 min 19 s.
    1 ly = c × 1 yr = 9.46×10¹⁵ mProxima Centauri: 4.02×10¹⁶ m ÷ 9.46×10¹⁵ m = 4.25 ly, so its light is 4.25 years old when it reaches us.

    Worked example. How many carbon atoms (diameter 1.54×10⁻¹⁰ m) would stretch across a human hair (7×10⁻⁵ m)? 7×10⁻⁵ ÷ 1.54×10⁻¹⁰ = 4.5×10⁵, about 450,000.

    Beyond this scale. The simulation stops at the quark limit (10⁻¹⁸ m) because nothing smaller has been measured. The Planck length, 1.6×10⁻³⁵ m, is a theoretical scale; it is 17 more powers of ten down.

    All 50 objects, smallest to largest

    ObjectSizelog₁₀(m)Light crosses inWhat is measured
    Quarks & electrons< 10⁻¹⁸ m≤ −18—upper limit on size
    Proton1.7 fm−14.775.6 × 10⁻²⁴ sdiameter (2 × charge radius)
    Helium-4 nucleus (alpha particle)3.4 fm−14.471.1 × 10⁻²³ sdiameter (2 × rms charge radius)
    Carbon-12 nucleus4.9 fm−14.311.6 × 10⁻²³ sdiameter (2 × rms charge radius)
    Uranium-238 nucleus11.7 fm−13.933.9 × 10⁻²³ sdiameter (2 × rms charge radius)
    Hydrogen atom106 pm−9.983.5 × 10⁻¹⁹ sdiameter (2 × Bohr radius)
    Carbon atom154 pm−9.815.1 × 10⁻¹⁹ sdiameter (2 × covalent radius)
    Water molecule280 pm−9.559.3 × 10⁻¹⁹ sapproximate diameter
    DNA double helix2 nm−8.706.7 × 10⁻¹⁸ swidth of the helix
    Hemoglobin molecule5.5 nm−8.261.8 × 10⁻¹⁷ sapproximate width
    Ribosome25 nm−7.608.3 × 10⁻¹⁷ sapproximate diameter
    Coronavirus particle100 nm−7.003.3 × 10⁻¹⁶ sapproximate diameter
    E. coli bacterium2 µm−5.706.7 × 10⁻¹⁵ slength
    Red blood cell7.5 µm−5.122.5 × 10⁻¹⁴ sdiameter
    Typical human cell20 µm−4.706.7 × 10⁻¹⁴ stypical diameter
    Human hair (thickness)70 µm−4.152.3 × 10⁻¹³ sthickness
    Paramecium200 µm−3.706.7 × 10⁻¹³ slength
    Honey bee1.3 cm−1.894.3 × 10⁻¹¹ sbody length
    Cricket ball7.2 cm−1.142.4 × 10⁻¹⁰ sdiameter
    Human (adult)1.7 m0.235.7 × 10⁻⁹ sheight
    Blue whale25 m1.408.3 × 10⁻⁸ slength
    Tallest tree116 m2.063.9 × 10⁻⁷ sheight
    Burj Khalifa828 m2.922.8 × 10⁻⁶ sheight
    Mount Everest8,849 m3.953 × 10⁻⁵ sheight above sea level
    Neutron star23 km4.367.7 × 10⁻⁵ sapproximate diameter
    Himalayan mountain range2,400 km6.380.008 slength
    The Moon3,475 km6.540.012 sdiameter
    White dwarf (Sirius B)11,700 km7.070.039 sapproximate diameter
    Earth12,742 km7.110.043 smean diameter
    Jupiter143,000 km8.160.48 sequatorial diameter
    Moon’s orbit769,000 km8.892.6 swidth of the orbit (2 × mean distance)
    The Sun1.39 million km9.144.6 sdiameter
    Sagittarius A* (black hole)25 million km10.401.4 mindiameter of the event horizon
    Earth’s orbit2 AU11.4816.6 minwidth of the orbit (2 AU)
    Betelgeuse6.7 AU12.0055.6 minapproximate diameter
    Solar System (to Neptune’s orbit)60.2 AU12.958.3 hourswidth of Neptune’s orbit
    Heliosphere240 AU13.561.4 daysapproximate width (Voyager 1 left it at 121 AU)
    M87* (black hole)250 AU13.581.5 daysdiameter of the event horizon
    Oort Cloud (hypothetical)3.2 light-years16.483.2 yearsapproximate outer width
    Sun → Proxima Centauri4.2 light-years16.604.2 yearsdistance between the two stars
    Orion Nebula24.3 light-years17.3624.3 yearswidth of the glowing cloud
    Sun → centre of the Galaxy26,000 light-years20.4026,000 yearsdistance
    Milky Way galaxy100,000 light-years20.98100,000 yearsapproximate width of the disk
    Andromeda Galaxy (M31)220,000 light-years21.32220,000 yearsapproximate width of the disk
    Milky Way → Andromeda2.5 million light-years22.382.5 million yearsdistance between the two galaxies
    Local Group10 million light-years22.9810 million yearsapproximate width
    Virgo Supercluster110 million light-years24.02110 million yearsapproximate width
    Laniakea Supercluster520 million light-years24.69518 million yearsapproximate width
    Sloan Great Wall1.4 billion light-years25.111.4 billion yearsapproximate length
    Observable universe93 billion light-years26.9493 billion yearsdiameter

    Common misconceptions

    For teachers

    This page can be embedded in a learning platform or class website. Use Simple for grades 6–9 and Advanced for grades 10–12 and intro university courses.

    Frequently asked questions

    How big is the observable universe?

    The observable universe is about 93 billion light-years across (about 8.8×10²⁶ m). Light has had only 13.8 billion years to arrive, yet the radius is about 46.5 billion light-years, because space has kept expanding while the light travelled. Beyond it there may be more universe, but its light has not had time to reach us.

    What is the smallest thing in the universe?

    Nobody knows. Quarks and electrons behave like points: experiments show they are smaller than about 10⁻¹⁸ m, and no size has ever been measured. The Planck length, about 1.6×10⁻³⁵ m, is a theoretical scale where quantum gravity is expected to matter, not a measured object.

    How much bigger is the Sun than the Earth?

    The Sun is about 109 times wider than Earth, and about 1.3 million Earths would fit inside it by volume. Even so, the Sun is a fairly ordinary star: the red supergiant Betelgeuse is roughly 700 times wider than the Sun.

    Is an atom really mostly empty space?

    It is a simplification. A hydrogen atom is about 63,000 times wider than its nucleus, so the nucleus fills only about 4 parts in 10¹⁵ of its volume. The rest is not empty: it is filled by the electron cloud, a probability pattern, and by fields.

    What is a light-year?

    A light-year is the distance light travels in one year: about 9.46×10¹⁵ m, or 9.46 trillion km. It measures distance, not time. The nearest star after the Sun, Proxima Centauri, is 4.25 light-years away.

    What is an order of magnitude or a power of ten?

    An order of magnitude is a factor of ten. A person (1.7 m) and the Earth (1.3×10⁷ m) differ by almost 7 orders of magnitude, because the Earth is about 7.5 million times bigger. On a logarithmic scale each step of one power of ten is the same distance.

    Why is a logarithmic scale needed?

    The sizes in this simulation span more than 40 powers of ten. On a straight (linear) scale, everything smaller than the largest object would shrink to an invisible dot. A log scale gives each factor of ten equal space, so atoms, cells, planets and galaxies can all be compared.

    How accurate are the sizes?

    Values are rounded and taken from sources such as NASA fact sheets, CODATA, the IAU and published papers; each object lists its source. Many things have no sharp edge (atoms, nebulae, galaxies), so their size depends on how it is defined, and Advanced mode gives the definition and range. The drawings are schematic, but the sizes are to scale.

    Data and sources

    The 3D views (atom, nuclei, DNA, Earth and Moon, Solar System, Milky Way, cosmic web) are built in code by SciSim. Earth, Moon, galaxy and cosmic-web textures are generated schematic images, not photographs, and are labelled as such in each view. Earth’s coastlines are rasterised from the Natural Earth 1:50m land data (public domain, via the world-atlas package).