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3D Universe: murmurs of awakening

Created: 2026-06-08
Author(s):
Amelia Ortiz-Gil (University of Valencia Astronomical Observatory Instituto de Física de Cantabria (IFCA, CSIC-UC)), Emilio Terol (University of Valencia Astronomical Observatory Instituto de Física de Cantabria (IFCA, CSIC-UC)), Alberto Fernández-So (University of Valencia Astronomical Observatory Instituto de Física de Cantabria (IFCA, CSIC-UC))
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Using a tactile 3D model of Ho’oleilana, a real BAO (Baryonic Acoustic Oscillations) structure discovered in the cosmic web, students explore how these ancient ripples shaped the Universe and how astronomers use them as a cosmic ruler to measure distances and study the expansion of the universe. Through hands-on exploration, students identify galaxy clusters and superclusters on the model, recognizing large-scale patterns in the distribution of matter.
Using the 3D models developed in the A Touch of the Universe project, students analyze how matter is distributed across space and how immense gravitational structures shape cosmic dynamics through tactile exploration, guided discussion, and mathematical reasoning. The activity is designed to be inclusive and hands-on, ensuring that complex cosmological phenomena are accessible to all learners, including those who are visually impaired.

Materials
  • 3D printed model of the Ho'oleilana BAO ("Hooleilana.stl") (plain or Braille) . All needed files to print the 3D model can be downloaded from the link: BAO.zip. Unzip the folder and you will find the stl and pdf annotated files in Valencian, Spanish, English and Italian.
  • A computer with an internet connection (and a projector, optional) to show images and videos
  • Pen and paper and/or calculator to write down data about the models and to carry out short calculations
Goals
  • Foster student's descriptive and interpretative skills.
  • Grasp how astronomers study the Universe.
  • Reflect about how to make astronomy accessible to everyone.
  • Encourage scientific thinking about dark energy and the expansion of the Universe.
  • Explore the role of gravity in shaping cosmic structures.
  • Introduce baryonic acoustic oscillations (BAOs) in a visual and tactile way.
Learning Objectives
  • Understand the origin and nature of baryonic acoustic oscillations (BAOs).
  • Identify the structure and significance of Ho’oleilana as a BAO.
  • Explain how BAOs are used to measure cosmic expansion and dark energy.
  • Calculate distances and travel times using scientific notation and real data.
  • Understand astronomical units: the light year as a measure of distance.
Background

Baryonic acoustic oscillations (BAOs)

After the Big Bang, the matter in the universe was almost evenly distributed, like a vast sea of particles. Gravity tried to put this matter together to form structures and galaxies. But when matter came together, it got very hot, and that heat caused matter to push outward. Thus a kind of chain of "bounces" was created: gravity attracted matter, heat pushed it away, and it started again.

This tug-of-war game created something similar to sound waves traveling through the universe, like the ripples spreading in water when you throw a stone. These waves expanded as spherical bubbles, dragging some of the matter with them.

About 380,000 years after the Big Bang, the Universe had cooled enough for the first atoms to form. At that point, gravity won the game, beginning to form galaxies and other large-scale structures. The bubbles of matter that had formed earlier left a kind of "imprint" on the distribution of galaxies: these are the acoustic oscillations of baryons, or baryonic acoustic oscillations (BAOs).

A BAO is essentially a large sphere , a “bubble”, of millions of galaxies. The galaxies are not evenly distributed throughout the sphere but are clustered together on its outer shell, like a massive cosmic bubble.

Although these structures are subtle, they are very important. By studying them, astronomers can better understand how the Universe is expanding and how that expansion has changed over time. By comparing the BAOs size at different epochs with their original size when they froze in the early Universe, astronomers can measure how much the Universe has expanded and how much this expansion has been accelerated due to the presence of a mysterious dark energy.

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Image: Illustration of Hoʻoleilana. Red region (left) shows the enclosed shell with individual galaxies depicted as luminous tiny specks. Photo credit: Frédéric Durillon, Animea Studio; Daniel Pomarède, IRFU, CEA University Paris-Saclay. This work benefited from a government funding by France 2030 (P2I-Graduate School of Physics) under reference ANR-11-IDEX-0003. See https://www.hawaii.edu/news/2023/09/05/bubble-of-galaxies-hooleilana/

Ho’oleilana

Ho’oleilana is a Hawaiian word meaning "murmurs of awakening" and appears in a Hawaiian song of creation that evokes the origin of things.

Ho'oleilana is considered to be a BAO since it is a bubble-like structure with a shell formed by a multitude of galaxies whose radius coincides with what is predicted by the Big Bang theory: about 500 million light years.

The Boötes supercluster is located at the center of Ho'oleilana. On the surface of this cosmic bubble, millions of galaxies are grouped together in larger structures such as the galaxy clusters and superclusters of Coma, Hercules, Leo or the Sloan Great Wall.

It is important to note that this structure is actually very subtle and that it is totally submerged in the general distribution of galaxies that forms the large-scale superstructure of the Universe. Advanced statistical methods are needed to detect this object as an excess over the general distribution of galaxies in the Universe. If we were to consider all galaxies that we can see in this region, the spherical structure would hardly be noticeable.

The 3D model

Ho'oleilana

Image: the printed 3D model

To better illustrate the complexity of Ho'oleilana and to make it accessible to visually impaired publics, we will use a 3D model developed by our group as part of the "A Touch of the Universe" 3D astronomy model collection.

The first thing you notice about the model is its spherical shape: we have in our hands the representation of a bubble of galaxies that originated only 380,000 years after the Big Bang.

The spherical surface is covered with small spheres that represent groups of galaxies, which in turn belong to larger groupings: galaxy clusters and superclusters.

The gaps in the surface of the sphere are real, although some have been exaggerated to allow access to its interior.

Inside, at the very center, we find a group of spheres representing the Boötes supercluster. Thin pillars connect it to the surface of the bubble. These pillars don't exist in reality but are necessary to hold the supercluster in its central position within the model.

On the surface of the bubble, we locate some of the most relevant galaxy clusters and superclusters:

  • Hercules supercluster
  • Coma cluster
  • Leo supercluster
  • Corona Borealis supercluster
  • Ursa Major supercluster
  • Sloan Great Wall

The model has been created by Emilio Terol, from a 3D rendering of the real data made by Daniel Pomarède and published in "Ho’oleilana: An Individual Baryon Acoustic Oscillation?" by R. Brent Tully, Cullan Howlett, and Daniel Pomarède, The Astrophysical Journal (2023).

Full Description

Getting ready:

  1. Start by printing the 3D files for the BAO model. This is something that some students might be able to help with, depending on how knowledgeable they are of 3D printing techniques. You can choose between the plain model or the one labelled with Braille letters.
  2. Print or open on an electronic device the "BAO labelled ENG.pdf" file to be able to identify the different features in the models. They are available also in Spanish and Valencian.

Activity (ages 10-16):

  1. Hand the model out to the students and encourage them to explore it. Tell them to identify different kinds of elements in it and describe them in their own words (for example, a rugous shell with something at the center).
  2. Ask them what they think this model might be about. After a brief exchange of ideas, the teacher may lead the students to the right answer provindingsome clues.
  3. Briefly explain the early universe focusing on the "tug-of-war" between gravity and pressure. sound waves that become frozen 380 000 years after the Big Bang, when matter and radiation decoupled.
  4. To help them visualize this, use a water ripple analogy: when you throw a stone in water you get pressure ripples. In the Universe the ripples on the matter distribution are what we call BAOs.
  5. Watch a video about BAOs to support the explanations.
  6. Introduce Ho'oleilana as a real BAO structure discovered in the universe. You can ask the students to read this article about Ho'oleilana's discovery. In the illustration, have them pay special attention to where our own galaxy, the Milky Way, is located in relation to Ho'oleilana.
  7. Ask the students to find out what “Ho'oleilana” means. Start a discussion about why astronomers chose this name for the BAO and the importance of acknowledging indigenous cultures.
  8. Hand the 3D model back to the students. Explain that the bumps on the model represent groups of of galaxies, that at larger scales form clusters and superclusters.
  9. Point out a large clump at the center: this is the Boötes galaxy supercluster. The structure that keeps it at the center of the bubble does not exist in reality. We use it to keep Boötes in place.
  10. The students may now identify the name of other key clusters and superclusters aided by the "Hooleilana labelled ENG.pdf" file. Non visually-impaired students can help by adding adhesive labels or Braille tags for key structures (Coma cluster, Sloan Great Wall, etc.)
  11. Stress that also the empty spaces in the model are real voids in the galaxy distribution
  12. Explain how BAOs act as a cosmic ruler. Discuss how astronomers use BAOs to study dark energy and the expansion of the Universe.

Activity (ages 16-19+):

  1. Follow all previous steps adapting them to the students age, if necessary.
  2. Useful Questions and Answers to lead the conversation:
    QUESTION:
    The radius of the Ho'oleilana model is about 500 million light years. How long would it take to travel from the Boötes supercluster at the center to the Coma cluster at a velocity equal to the speed of light in vacuum?
    ANSWER:
    It will take 500 million years to travel from Boötes to Coma.
    Stress the fact that a light year is a measure of distance, not time.
    QUESTION:
    The fastest speed reached by a spacecraft ever, NASA's Parker Solar Probe, is 192.22 km/s. Work out how long would it take to travel from Boötes to Coma on board of the Parker Solar Probe. (One light-year is equal to 9.5 trillion, or 9.5x1012, kilometers).
    ANSWER:
    There are 60x60x24x365= 31.5x106 seconds in 1 year
    The Parker Solar Probe maximum velocity in kilometers per year is:
    v= 192.22 km/s x 31.5 x106 s/y = 6.05x109 km/y
    If 1 ly = 9.5x1012 km, then the radius of the Ho'oleilana model in kilometers is:
    r = 500x106 x 9.5x1012 = 4.75 x 1021 km.
    Therefore, the Parker Probe will have to travel for a period of time t:
    t= r / v = 4.75 1021 km / 6.05x109 km/y = 7.85x1011 years.
    That is much longer than the age of the Universe itself, which is 13.8 x 109 years!
Evaluation
  • Students explain clearly the gravity-pressure interaction and formation of sound waves in the early universe to the rest of the class.
  • Students correctly identify Boötes and at least 3 other superclusters using tactile or visual cues when asked by the teacher.
  • Students explain correctly how BAOs serve as a cosmic ruler and relate to dark energy to the rest of the class.
  • Students correctly solve the mathematical problems in the activity.
  • Students make a correct use of the scientific notation when solving mathematical problems.
Curriculum

Physics & Astronomy:

  • Cosmology and the Big Bang Theory: Students explore the early universe, matter-radiation decoupling, and the formation of large-scale structures.
  • Waves and Oscillations: BAOs are introduced as sound waves in the early universe, reinforcing wave behavior and propagation.
  • Scientific Inquiry and Modeling: Students engage with a physical model to understand abstract concepts.
  • Dark Energy and Expansion: The activity introduces current research topics like cosmic acceleration and the role of dark energy.

Mathematics:

  • Scientific Notation and Large Numbers: Students work with astronomical distances and speeds using powers of ten.
  • Unit Conversion and Dimensional Analysis: Calculations involving light-years, kilometers, and time reinforce real-world math applications.
  • Problem Solving and Reasoning: Students apply formulas and logical steps to solve travel time problems across cosmic scales.

Social Sciences:

  • Language and Meaning: The name “Ho’oleilana” opens a discussion on cultural representation in science, promoting inclusivity and respect for indigenous knowledge.

Accessibility and Inclusion:

  • The tactile model supports diverse learners, including visually impaired students, aligning with inclusive education goals.
Further Reading