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Apple has released an update to XProtect for all macOS Hero or hooligan: Theseus’ later years BSD flags are incompatible with iCloud Drive Apple has released macOS Tahoe 26.5.1 In memoriam Mary Cassatt: 1, 1868-1880 Solutions to Saturday Mac riddles 362 What Location Services do in macOS Eclectic paintings of Joseph Stella: 2 European myths Last Week on My Mac: Razzle and dazzle Eclectic paintings of Joseph Stella: 1 American landscapes Saturday Mac riddles 362 Protect files with the Locked or Immutable flag Reading Visual Art: 252 Dragonfly What happens in the log when an app crashes as it starts up? Portraits of trees: Introduction Which tasks require mains power? Medium and message: Vast canvases Online reference to external displays for Apple silicon Macs What’s in that phishing email? Hero or hooligan: Theseus and Ariadne Solutions to Saturday Mac riddles 361 How to search document versions Rubens’ Consequences of War Rubens’ Peace and War Saturday Mac riddles 361 How to search Time Machine backups? Naturalists: Contents and artists On Reflection: Extending the image Tackle QuickLook problems Medium and message: Pottery Hero or hooligan: Theseus and the sandals How QuickLook provides thumbnails and previews Last Week on My Mac: Syncing metadata in iCloud Drive Paintings of visits to India 1778-1877 Saturday Mac riddles 360 Naturalists: Sorolla and Zorn On Reflection: Pierre Bonnard 1909-1946 SpotTest 1.2 can display Spotlight metadata directly On Reflection: Pierre Bonnard 1899-1908 How to preserve versions, and how to create versioned PDFs Medium and message: Sculpture What gets synced in iCloud Drive? Hero or hooligan: Perseus 2 Solutions to Saturday Mac riddles 359 Last Week on My Mac: snapshots, the elephant in APFS Paintings of Beatrice Portinari: to 1862 Saturday Mac riddles 359 Naturalists: Into the 20th century How to check whether Spotlight is getting the right metadata On Reflection: Mirror play Hero or hooligan: Perseus 1 The bicentenary of Frederic Edwin Church: 1857-77 Solutions to Saturday Mac riddles 358 macOS virtual machines and audio-video syncing A walk in the parks of Rome, Vienna, Manhattan and Brooklyn Saturday Mac riddles 358 Naturalists: Photography Use Finder tags for categories Control what gets written to the log Medium and message: Tapestry Virtualisation on Apple silicon Macs is different Jerusalem Delivered: Overview and contents The bicentenary of Frederic Edwin Church: 1849-57 Solutions to Saturday Mac riddles 357 Painting Pandora and her box: 1883-1919 Painting Pandora and her box: 1550-1882 Saturday Mac riddles 357 Reading Visual Art: 250 Winged sandals The secret life of the xattr The macOS Natural Language framework and Nalaprop Medium and Message: Stained glass The MACL extended attribute Jerusalem Delivered: 13 Leading characters Solutions to Saturday Mac riddles 356 Privacy: How locations are protected Painting Spring blossom 2 Last Week on My Mac: Don’t be a victim of fraud Painting Spring blossom 1 Saturday Mac riddles 356 Explainer: Recovery Reading Visual Art: 249 Mask Naturalists: Urban poverty On Reflection: Cézanne Privacy: Which folders are protected in Tahoe? Medium and Message: Mosaic Jerusalem Delivered: 12 Delivery Solutions to Saturday Mac riddles 355 Centaurs 2: Revenge Centaurs 1: Fights Saturday Mac riddles 355 Explainer: sandboxes Naturalists: The modern meal Why you can’t trust Privacy & Security Apple has just released an update to macOS Tahoe, to version 26.4.1 On Reflection: Divisionism Please help update CPU frequencies for Apple silicon Macs Commemorating the centenary of the death of John Ferguson Weir Privacy: Files & Folders or Full Disk Access? Jerusalem Delivered: 11 Into Jerusalem Privacy: protected folders
On Reflection: Conclusions and contents
hoakley · 2026-05-27 · via The Eclectic Light Company

Kazimierz Sichulski (1879–1942), Fish (1908), pastel on paperboard, 63 x 82 cm, Muzeum Narodowe w Poznaniu, Poznań, Poland. Wikimedia Commons.

This series looks at two contrasting groups of paintings featuring reflections: those of figures seen mostly in planar mirrors arranged vertically, such as that mounted on a dressing table, and those of landscapes seen reflected by a horizontal water surface like a lake. When intended to be faithful to nature, these should all adhere to the same optical principles.

Introduction
Jan van Eyck, Portrait of Giovanni(?) Arnolfini and his Wife (detail) (1434), oil on oak panel, 82.2 x 60 cm. National Gallery, London (WikiArt).
Jan van Eyck (c 1380-1441), Portrait of Giovanni(?) Arnolfini and his Wife (detail) (1434), oil on oak panel, 82.2 x 60 cm. National Gallery, London. WikiArt.

Optical effects as a theme in the Northern Renaissance, as seen in Jan van Eyck’s most famous painting The Arnolfini Wedding, completed in 1434 (above), and in the landscape behind his Madonna of Chancellor Rolin, probably painted the following year (below).

Jan van Eyck, The Madonna of Chancellor Rolin (detail) (c 1435) oil on panel, 66 x 62 cm. Musée du Louvre, Paris (WikiArt).
Jan van Eyck (c 1390–1441), The Madonna of Chancellor Rolin (detail) (c 1435) oil on panel, 66 x 62 cm. Musée du Louvre, Paris (WikiArt).
Optics

Any faithful depiction of reflections on water should show the following:

  1. a line joining any point on the original with its equivalent on the reflection will be vertical;
  2. an object behind another object in the original will also remain behind that object in the reflection, as reflections preserve depth order;
  3. the further back that an original object is from the water’s edge, the more its reflection will be cropped vertically;
  4. vertical cropping loses the lower section of the original from the reflection, and the upper section remains in the reflection;
  5. the view of each part of the original seen in the reflection will be that as seen from the points of reflection, those being lower than the observer and closer to the original;
  6. what is seen on the (observer’s) left of the original appears on the left of the reflection, and what is seen on the right remains on the right of the reflection;
  7. because the reflection is vertically inverted, what is seen at the top of the original appears at the bottom of the reflection.

Analogous principles apply to reflections in a vertical mirror.

Reflection in a vertical mirror

Selfies

Self-portraits almost invariably rely on painting the reflection seen in a plane mirror.

peetersflowersgoldcupsd1
Clara Peeters (fl 1607-1621), Still Life with Flowers and Gold Cups of Honour (detail) (1612), oil on oak, 59.5 x 49 cm, Staatliche Kunsthalle Karlsruhe, Karlsruhe, Germany. Wikimedia Commons.
The Venus Effect

Defined by Marco Bertamini, Richard Latto and Alice Spooner as occurring “every time the observer sees both an actor (eg Venus) and a mirror, not placed along the observer’s line of sight, and concludes that Venus is seeing her reflection at the same location in the mirror that the observer is seeing.” They were intrigued by “the situations in which we as observers read the scene in a certain way, but the mirror itself is used (deliberately or not) to lead us down the wrong path. More specifically, the mirror shows us something that we accept as the view available to the actor in the scene. However, the actor has a different vantage point from us and therefore the laws of optics imply that he/she cannot be seeing what we see in the mirror.”

velazquezvenus
Diego Velázquez (1599–1660), Venus at Her Mirror, The Toilet of Venus (Rokeby Venus) (1644-48) [101], oil on canvas, 122.5 x 177 cm, The National Gallery, London. Image by Diego Delso, via Wikimedia Commons.
Mirror Play

Where the artist manipulates a reflected image for an effect, whether or not that image remains faithful to optical principles.

velazquezlasmeninas
Diego Velázquez (1599–1660), Las Meninas (The Maids of Honour, Velázquez and the Royal Family) (c 1656-57) [119], oil on canvas, 318 x 276 cm, Museo Nacional del Prado, Madrid, Spain. Wikimedia Commons.
Pierre Bonnard 1899-1908

Early mirror play by Pierre Bonnard (1867-1947).

bonnardwomangettingdressed
Pierre Bonnard (1867-1947), Woman Getting Dressed (1906), oil on canvas, 42 x 58.7 cm, Private collection. The Athenaeum.
Pierre Bonnard 1909-1946

Later mirror play by Pierre Bonnard (1867-1947).

bonnardreflectiontub1909
Pierre Bonnard (1867-1947), Reflection (The Tub) (1909), media not known, 73 x 84.5 cm, Private collection. The Athenaeum.
Extending the image

Where the artist uses a reflection to show more of the motif than can be seen directly, often to add information when developing a story.

The Awakening Conscience 1853 by William Holman Hunt 1827-1910
William Holman Hunt (1827-1910), The Awakening Conscience (1851-53), oil on canvas, 76.2 x 55.9 cm, The Tate Gallery (Presented by Sir Colin and Lady Anderson through the Friends of the Tate Gallery 1976), London. © The Tate Gallery and Photographic Rights © Tate (2016), CC-BY-NC-ND 3.0 (Unported), https://www.tate.org.uk/art/artworks/hunt-the-awakening-conscience-t02075

Reflection on a horizontal water surface

Northern landscapes

Paintings by:
Albrecht Dürer (1471-1528)
Aelbert Cuyp (1620–1691)
Nicolas Poussin (1694-1665), Landscape with a Calm (c 1651)
Claude Lorrain (1604/5–1682)
Canaletto (1697–1768)
Claude-Joseph Vernet (1714–1789)

Nicolas Poussin, Landscape with a Calm (c 1651), oil on canvas, 97 x 131 cm, J. Paul Getty Museum, Los Angeles. Digital image courtesy of the Getty's Open Content Program.
Nicolas Poussin (1694-1665), Landscape with a Calm (c 1651), oil on canvas, 97 x 131 cm, J. Paul Getty Museum, Los Angeles. Digital image courtesy of the Getty’s Open Content Program.
Constable and Turner

Paintings by:
John Constable (1776–1837)
Joseph Mallord William Turner (1775–1851)

turnerfightingtemeraire
Joseph Mallord William Turner (1775–1851), The Fighting Temeraire tugged to her last Berth to be broken up (1839), oil on canvas, 90.7 × 121.6 cm, The National Gallery, London. Wikimedia Commons.
Realism in the late 19th century

Paintings by:
Gustave Caillebotte (1848–1894)
Martín Rico y Ortega (1833–1908)
Eilert Adelsteen Normann (1848–1918)
Laurits Andersen Ring (1854–1933)
Frits Thaulow (1847–1906)
Kazimierz Sichulski (1879–1942)

ringaldertrunks
Laurits Andersen Ring (1854–1933), Alder Trunks (1893), oil on canvas, 52.9 x 73.5 cm, Collection of Her Majesty the Queen Margrethe II, Copenhagen, Denmark. Wikimedia Commons.
Impressionism

Paintings by:
Jean-Baptiste-Camille Corot (1796-1875)
Claude Monet (1840–1926)
Alfred Sisley (1839–1899)

monetautumnonseine1873
Claude Monet (1840-1926), Autumn on the Seine, Argenteuil (1873), oil on canvas, 54.3 × 73.3 cm, High Museum of Art, Atlanta, GA. Wikimedia Commons.
Divisionism

Paintings by:
Georges Seurat (1859–1891)
Camille Pissarro (1830-1903)
Paul Signac (1863-1935)
Théo van Rysselberghe (1862-1926)

Théo van Rysselberghe (1862-1926), Canal in Flanders (1894), oil on canvas, 152.4 x 203.2 cm, Private collection. WikiArt.
Théo van Rysselberghe (1862-1926), Canal in Flanders (1894), oil on canvas, 152.4 x 203.2 cm, Private collection. WikiArt.
Cézanne

Paintings by Paul Cézanne (1839-1906)

cézannelacdannecy
Paul Cézanne, Le Lac d’Annecy (Lake Annecy) (1896) (R805), oil on canvas, 65 x 81 cm, The Courtauld Gallery, London (Samuel Courtauld Trust) (P.1932.SC.60). Wikimedia Commons.
Hodler and Klimt

Paintings by:
Ferdinand Hodler (1853–1918)
Gustav Klimt (1862–1918)

hodlerrhythmiclandscapelakegeneva
Ferdinand Hodler (1853–1918), Rhythmic Landscape on Lake Geneva (1908), oil on canvas, 67 x 91 cm, Private collection. Wikimedia Commons.

References

Brook Taylor (1719) New Principles of Linear Perspective, or the Art of Designing on a Plane the Representations of All Sorts of Objects, in a more General and Simple Method than has been done before, London. (Not available online, and later editions omit much of the material on reflections.)
Cole, Rex Vicat (1921) Perspective, Seeley, Service and Co, London. (Available in various reprints, and Archive.org.)
de Piles, Roger (1708) Cours de Peinture par Principes, Paris. (Available at Archive.org.)
de Valenciennes P-H (1820) Élémens de Perspective Pratique à l’usage des artistes, 2nd edn., Paris.