Henry Dudeney exhibited the 4-piece dissection of an equilateral triangle to a square before the Royal Society at Burlington House on May 17, 1905. I have recently learned more about Henry Dudeney's exhibition. The 1906 Yearbook of the Royal Society contains on pages 140-144 a "Catalogue of objects and experiments exhibited at the conversazione held in the Society's apartments at Burlington House on May 17, 1905." Dudeney presented one of the exhibits.
On page 191 of the May 27, 1905 issue of "The Sphere", we see a drawing of the meeting at which Dudeney exhibited his work. The caption of the drawing reads:The first of two annual conversaziones held by the Royal Society, and confined to men only, took place in Burlington House on May 17, the guests being received by the president, Sir William Huggins. The exhibits were entirely scientific. The most striking demonstrations of the electric order was Sir Oliver Lodge's elaborate arrangements to show the use of electric valves for the production of high-tension continuous current. Mr. Perceval Landon's Lhassa pictures were shown, also photographs taken by the National Antarctic Expedition. Every side of scientific inquiry was illustrated.Apparently only the guests were confined to be men, because exhibit 28 was hosted by a Miss Dorothea M. A. Bates.
The drawing suggests a modern-day poster session at a conference, except that all participants are in much more formal dress. I was not able to identify Dudeney in the drawing. I do not know whether the exhibitors were present and stood next to their exhibits in order to discuss them.
Below is the listing of the 40-some exhibits. The numbers preceded by asterisks indicate those that were Lecture Room Demonstrations. Henry Dudeney's exhibit is number 36.page 140 Year-book of the Royal Society.A report of the May 17th Royal Society conversazione was published in Nature, vol. 72, no. 1856 (May 25, 1905), on pages 90-92. Dudeney's paper was described in one sentence at the end of the report.
CATALOGUE OF OBJECTS AND EXPERIMENTS EXHIBITED AT THE CONVERSAZIONE
HELD IN THE SOCIETY'S APARTMENTS AT BURLINGTON HOUSE ON MAY 17, 1905.
1. Exhibited by Sir William Crookes, F.R.S. Specimens illustrating the Action of Light and of Radium upon Glass.
2. Exhibited by Mr. G. T. Beilby. Phosphorescence caused by the β-rays of Radium.
3. Exhibited by Mr. A. Mallock, F.E.S. - Clock and Chronometer by Thomas Mudge.
4. Exhibited by Mr. E. A. Reeves. 1. Tangent-Micrometer for Theodolites, &c. 2. Endless-Tangent Screw for Sextants.
5. Exhibited by Mr. D. Finlayson, F.L.S. The Ashe-Finlayson Comparascope.
6. Exhibited by Capt. Tizard, C.B., F.R.S. Charts of the Gulf of St. Lawrence, showing the Co-Tidal Lines at Mean Time of Quebec.
7. Exhibited by Prof. J. Milne, F.R.S. The Great Indian Earthquake, April 4, 1905. 1. Five Seismograms from Shide, Isle of Wight. 2. Seismograms of East-West Motion from Edinburgh, Paisley, Beirut, and Toronto.
Catalogue of Objects, &c., exhibited at the Conversazione. page 141
8. Exhibited by Prof. J. A. Fleming, D.Sc, F.B.S. 1. A direct reading Cymometer for measuring the length of the Waves used in Wireless Telegraphy. 2. An Oscillation Valve for rectifying Electrical oscillations and rendering them measurable on an ordinary Galvanometer.
9. Exhibited by Mr. Carl Zeiss. An Optical Appliance to facilitate visual perception of Ultra Microscopic Particles.
10. Exhibited by Mr. S. G. Shattock, F.R.C.S. Skiagrams of the hands of Machnow, the Russian giant, and of O'Brien, the Irish giant.
11. Exhibited by Mr. W. Percival Westell. Photographs illustrating young Cuckoo in the act of ejecting egg and young bird from nest of foster-parent.
12. Exhibited by Sir Archibald Geikie, Sec. M.S. Photographs taken in China by the Carnegie Expedition under Mr. Baily Willis in 1904, illustrating a presumably Glacial Deposit underlying the base of the Cambrian rocks of the region.
13. Exhibited by Sir William Crookes, F.R.S. Photographs of the "Cullinan" Diamond.
14. Exhibited by Dr. Hodgkinson, Capt. Playfair, R.A., and Mr. Coote. 1. Microphotographs of section of gun tube showing change in structure of steel after 2,000 rounds-internal central and external layers at one centimetre intervals. 2. Microphotographs of Alloys of Aluminium with Nickel. 3. Microphotographs of Alloy of Copper with Cobalt and Nickel.
15. Exhibited by Messrs. Isenthal & Co. 1. Resonance Induction Coil and High Potential Apparatus. 2. Resonance Electro Magnet.
page 142 Year-book of the Royal Society.
16. Exhibited by the Director of the National Physical Laboratory. High temperature Electric Furnaces.
17. Exhibited by Sir William Ramsay, K.O.B., F.R.S. Action of Actinium or Emanium emanation on a Sensitive Screen.
18. Exhibited by Mr. T. E. Heath. Stereoscopic views of the Sun and Stars of estimated parallax.
19. Exhibited by Mr. H. J. Brooks. Oil Painting.-A Friday Evening Lecture at the Royal Institution of Great Britain.
20. Exhibited by Mr. C. G. Seligmann. 1. Stone adze heads in various stages of manufacture, and chips from the neighbourhood of Suloga, Woodlark Island, British New Guinea. 2. Photographs of straight haired individuals from Nara district Central Division, British New Guinea. 3. Wood carvings and drawings, principally from Massim district, British New Guinea.
21. Exhibited by Mr. W. Rosenhain. Transverse Sections of Slip-Bands and other Microscopic Features of Metallic Surfaces.
22. Exhibited by Messrs. R. and J. Beck, Ltd. 1. Microscope and Goniometer stage designed by Dr. Evans for examining the optical qualities of minute grains of sand. 2. Set of Petrological Quartz Wedges. (1) Quartz wedge on slip giving 7 orders. (2) Quartz wedge on slip giving 22 orders. (3) Dr. Evans' double quartz with two wedges (placed side by side), which are cut at an angle of 90o from the same plate, showing 7 orders. 3. Photo-micrographic Camera designed by Mr. J. W. Gordon for taking small direct photo-micrographs while the instrument is in use after observation without attention to the adjustments.
Catalogue of Objects, &c., exhibited at the Conversazione. page 143
23. Exhibited by Prof. A. Schuster, F.R.S. Large Echelon Spectroscope.
24. Exhibited by Prof. Ernest Fox Nichols. 1. Torsion Balance, used in Radiation Pressure Measurements, by Nichols and Hull. 2. Vacuum Tube, of Nichols and Hull, to illustrate the Repulsion of Comet Tails by the Sun.
25. Exhibited by The Marine Biological Association. Living Representatives of the Plymouth Marine Fauna.
26. Exhibited by Mr. R. S. Hutton. New models of Laboratory Electric Furnaces.
27. Exhibited by Dr. W. J. Holland, Director of the Carnegie Museum, Pittsburgh, U.S.A. Photographs, Cast, and Model of Skull of Diplodocus, a Jurassic Dinosaur from Wyoming, and other fossils from the middle west of North America.
28. Exhibited by Miss Dorothea M. A. Bate. Remains of Fossil Mammals from Crete.
29. Exhibited by Prof. E. A. Minchin and Mr. W. Woodland. Microscopic preparations illustrating the development of calcareous spicules in various invertebrate animals.
30. Exhibited by Prof. J. B. Farmer, F.R.S., Mr. J. E. S. Moore, and Mr. C. E. Walker. Cellular constituents peculiar to cancerous and reproductive tissues.
31. Exhibited by Dr. Charlton Bastian, F.R.S. The simplest kind of Protoplasm.
32. Exhibited by Mr. R. H. Lock. Specimens of Cross-bred Maize, illustrating inheritance in accordance with Mendel's law.
page 144 Year-book of the Royal Society.
33. Exhibited by Brevet Lieut-Colonel W. B. Leishman, R.A.M.C. The Parasite of "Kala Azar."
34. Exhibited by Mr. H. S. Willson, M.B. The isolation of B. Typhosus from water by means of alum precipitation.
35. Exhibited by Mr. G. F. Herbert Smith. A hand Refractometer.
36. Exhibited by Mr. H. E. Dudeney. A new Problem on Superposition.
37. Exhibited by Mr. B. A. Hadfield, M.Inst.C.E. A Series of Alloys of Iron and Steel tested at Liquid Air Temperature.
38. Exhibited by Mr. Bussell Wright. High Tension Resonance Transformer, and X-Ray Stereoscope.
39. Exhibited by Mr. J. E. Stead, F.R.S. 1. Apparatus for polishing and preparing Metals for microscopic examination. 2. Specimens of Steels in the cast and forged condition containing Phosphorus.
40. Exhibited by Mr. W. Shackleton, F.R.A.S. Mechanical Lantern Slide illustrative of the phenomenon of a total Solar Eclipse.
*41. Exhibited by Dr. Edward A. Wilson. Views of the Antarctic.
*42. Exhibited by Sir Oliver Lodge, F.R.S. Use of Electric Valves for the production of High Tension Continuous Current.
*43. Exhibited by Mr. Perceval Landon. The Road to Lhasa.
* Lecture Room Demonstrations.
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