Encloses projections and models relating to geometry of bees' cells.
I find I cannot draw a ⊙ round your
I send you 2 more projections as the more points of view you see it in the better
I also send you some rhombs cut out, with flaps to fasten over the edges, & I advise you to begin with the flap (A)
They are not the same size as Millers, & I do not know if you have any reason for that particular size.
Also a pyramid, with 2 circles on the base to be raised up & the circle on the short diameter will show you exactly how much the obtuse ∠'s are within the sphere
12 of these pyramids would make the Dodec.
You will be surprized how firm the model will feel when put together, but dont be in a hurry & let one flap dry before you paste another,
When you have got the model in your hand, & hold them in the same position as my diagrames, they will all become quite clear.
I think I have answered all your questions.
Over the page I will draw another little diagram to fix the positions of the acute ∠s
- f1 2283.f1Dated by the postmark on a cover associated with the letter (DAR 162: 50).
- f2 2283.f2See enclosure.
- f3 2283.f3The figures have not been found.
- f4 2283.f4See letter from W. H. Miller, [14 May 1858] and n. 2. Associated with William Hallowes Miller's letter are two pasteboard figures labelled ‘Rhombic face of dodecahedron’ (DAR 48 (ser. 2): 1). The angles of the rhombs are marked ‘70o 31.7'’ and ‘109o 28.3'’. See Natural selection, p. 513 and n. 1, where the angles of a rhombic face of a bee's cell are discussed.
- f5 2283.f5The diagrams are in DAR 162: 48/5 and 48/6.