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Tabula scalata

Tabula scalata is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Tabula scalata rather than just read about it. In short: Tabula scalata are pictures with two images divided into strips on different sides of a corrugated carrier. Each image can be viewed correctly from a certain angle.

Tabula scalata — main illustration
Tabula scalata — illustration

Key takeaways

  • Tabula scalata belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Tabula scalata to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Tabula scalata from memory before moving on to harder problems.

Reference excerpt

Tabula scalata are pictures with two images divided into strips on different sides of a corrugated carrier. Each image can be viewed correctly from a certain angle. Most tabula scalata have the images in vertical lines so the picture seems to change from one image to another while walking past it. The top image on versions with horizontal strips could be seen via a mirror placed above the picture. Some tabula scalata have the two pictures matched in shape and size, which practically creates a simple type of morphing effect when the viewing angle changes. A variation, known as "triscenorama" or "tabula stritta" has three images: two on each side of perpendicular slats in front of the third picture. The basic idea of tabula scalata and tabula stritta is somewhat similar to that of the ancient triangular periaktos theatre coulisse, of the modern day Trivision billboard, and of lenticular printing.

Terminology The Latin term tabula scalata was introduced in 1646 by Athanasius Kircher and can be roughly translated as "staircase-shaped picture". The terminology in the English language has been somewhat diffuse: many different words have been used for the same type of corrugated pictures. "Perspective picture" and "anamorphic picture" have been common but not very precise terms; these are also used for very different types of pictures. Furthermore, it has been suggested that "anamorphic" should be reserved for the flat type of pictures with a distorted perspective. "Turning pictures" is more precise but less common. The term "double portrait" is not uncommon, but does not cover any tabula scalata that depict different subjects.

History

Paleolithic In 1993, Edward Wachtel suggested that by moving a torch, paleolithic cave paintings were animated. The parallel grooves covering certain animal paintings in the La Mouthe cave were not vandalism, but rather, Tabula scalata that showed a different image depending on the angle it was viewed. An ibex with two heads, and a Mammoth with multiple trunks, when lit with only a torch, would show one head or trunk clearly, then fade, to be replaced by another.

16th Century and later An example of anamorphosis appears on Leonardo da Vinci's "Codex Atlanticus" folio 98 (1515). Although the principle isn't necessarily part of tabula scalata, the need for an oblique vantage point is similar and may have inspired the development of a variation that could be viewed from different sides. The "Zimmern Anamorphosis" on a corrugated panel from circa 1535 (in the collection of Germanisches Nationalmuseum, Nuremberg) shows the portrait of Wilhelm, Count von Zimmern when seen from the left and that of Amalia, Baroness von Zimmern from the right. Tabula scalata were a popular novelty in England since the late 16th century. References can be found in the works of Shakespeare and in other literature of the time. A turning picture of a young woman (often thought to be Mary, Queen of Scots) with a skull on the other side of the vertical wooden prisms was painted by an unknown artist around 1580. The woman's face and the skull are depicted in the same angle, with the woman's eyes, nose and ears matching the corresponding holes in the skull. The pictures do not completely match: the woman's mouth is much smaller and higher than the skull's upper teeth (the jawbone is missing) and the skull is bigger: the back of the head matches the woman's wide collar. An illustration of the basic technique, with a single picture hidden from sight by blank sides of slats when viewed from below, was published in a 1583 book on perspective drawing by Giacomo Barozzi da Vignola and Ignazio Danti. A double portrait of Charles III of Lorraine and his daughter Christine of Lorraine (wife of Ferdinando I de' Medici, Grand Duke of Tuscany) was painted on horizontal wooden prisms by Ludovico Buti in 1593. Christine's portrait was visible via a mirror placed above the painting, while Charles portrait could be seen when looking upwards to the painting located above a door. The painting is now in the collection of the Museo Galileo, Florence. French Minim mathematician and painter Jean François Niceron described the technique in his 1638 ground-breaking book La perspective curieuse, illustrated with a horizontal version of tabula scalata with a mirror showing the image that was hidden on the top side of the prisms. More extant double paintings are known from the 17th century. For instance Gaspard Antoine Bois-Clair made some double portraits in 1692, including one of Danish Prince Frederik IV (when viewed from the left) and his sister Sophie Hedevig (when viewed from the right). Trisceneoramas (with three images) were common at the end of the 19th century as souvenirs for tourists. Many other examples from the time have religious imagery. On October 23, 1906 Hiram C.J. Deeks was granted US patent 834,048 (application November 25, 1904) for a "Material for printing multiple photographs" that used a similar technique. Photographic paper on cardboard was corrugated with a press to form minute ridges that were then exposed to two different images from two different angles. Under this patent H.C.J. Deeks & Co marketed postcards with changing photographs or drawings, first as Puzzle Post Card later as Photochange Post Card. The pictures in some notable examples would change from a person to a skeleton - depicted in similar position and size. Deeks also marketed a Colorchange Post Card with minute corrugations that had identical pictures on each side, but were sprayed with different "liquid pigment or coloring matter" on (parts of) each side. The process was granted US patent No. 856,519 on June 11, 1907 (application filed September 24, 1906). The basic principle of tabula scalata later provided the basis for lenticular printing.

Use on British pound coin The UK Pound Coin introduced in 2017 bears a small embossed image that changes from a "£" symbol to a "1". Described by the Royal Mint as "like a hologram", it is actually a tabula scalata.

References

External links Media related to Tabula scalata at Wikimedia Commons

Illustrations

Tabula scalata: Illustration from Nicéron's 1638 La perspective curieuse
Illustration from Nicéron's 1638 La perspective curieuse
Tabula scalata: Two views of a tabula scalata oil painting from 1580 in the Scottish National Portrait Gallery
Two views of a tabula scalata oil painting from 1580 in the Scottish National Portrait Gallery
Tabula scalata: Tabula scalata illustration in Le dve regole della prospettiva pratica (1583)
Tabula scalata illustration in Le dve regole della prospettiva pratica (1583)

Worked examples

Example 1 — a first encounter with Tabula scalata

Start with the simplest possible case. Write down what Tabula scalata claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Tabula scalata before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Tabula scalata ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Tabula scalata

In research
Tabula scalata appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Tabula scalata in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Tabula scalata is common in secondary-school and first-year university syllabi. It links to neighbouring topics Optical illusions, Optical toys, so understanding it makes those chapters shorter.
In everyday life
Look for Tabula scalata outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Tabula scalata in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Tabula scalata means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Tabula scalata out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Tabula scalata in simple terms?

Tabula scalata are pictures with two images divided into strips on different sides of a corrugated carrier. Each image can be viewed correctly from a certain angle.

Why does Tabula scalata matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Tabula scalata?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Tabula scalata.

Tags

  • Optical illusions
  • Optical toys

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