Copyright © Jonathan Swinton 1999.
Warning! The foliation of many of these images has now been changed as part of the Digital Archive Project. The foliation numbers listed below are now inaccurate.
C24/1 (entitled `Outline of the development of the Daisy') to C24/11 are in Turing's typescript but with a page ordering later proposed by Gandy written at the top right (and corresponding to the foliation number). There then follows some further TS which are likely part of the same paper. (In this folder, there is an unfoliated note by Hoskin whose place is lost asking 'Does this continue on'). C24/12 is indeed likely to continue C24/11 although the next page, C24/13, is part of EIGEN not DAISY. C24/21, C24/22 and C24/23 read as an alternate (perhaps earlier) draft of C24/7.
A confusing point is that Turing says at one point (XX) that $I_0$ near to asymptote at one-third circumference but later that says wavelength less than 1/3 circumference.
Saunders does not reproduce the final handwritten line on C24/10: "(This function calculated in `Subgroup [?] smooth' )".
C27/28: R is relative diffusivity, s is scale of cooking variability relative to k0. R small and s infinite.
F(eta)=eta(I0 + 2 eta - 6 H eta2), with I0 variable.
C24/13 and C24/14 provide a worked example of the theory in section 1 of MTP II, and presumably intended to be incorporated there. It is an example of how orthogonal eigenfunctions can be chosen for a linear model of diffusion between four discrete cells arranged as three satellites around a central cell. The example is based on rougher workings at C27/17 and C27/15. There is a comparable set of working at C27/23 and C27/17v.
A theme dealing with the stability of lattice solutions. (i) C27/47,C27/48,C27,49,C27/50; (ii) C24/56v,C24/57,C24/58,C24/59,C24/60 are a coherent series; also (ii) C24/49, C24/50, C24/51, C24/53, C24/56.
Also N11.
C24/24 precedes C24/54 (or C27/50?).
C27/28
C24/62, C24/63, C24/64, C24/65, C24/66, C24/67, C24/68v, C24/69v, C24/70.
Parameters for given lattice classes: C27/7, C27/8, C27/9, M5. Plots of lattices: C27/52, C27/53, C27/53v, C27/54.
Properties of Fibonacci numbers. C25/26 to C25/29, followed by Hoskin and Richards in C8.
Pattern formation sequences N12, N13, N14, M4, M1.
C27/66 is labelled $7 and seems a different draft of Saunders $8. It has been numbered 23; C27/67
C27/56 MS version of Saunders \S8 predates C27/66. C27/55 cf Saunders \S10.
C27/46v rough (p,q) discussion
C27/46 see class.
The $k$ after I.15.1 is $\left( \frac{2\pi}{J} \right)^\half \left(\frac{\rho}{\eta}\right)^\half$ which is not the same as that on p??: $\left( \frac{2\pi}{J} \right) \left(\frac{\rho}{\Delta^\half}\right)$.
Is he enumerating lattice solutions to see which are stable? but `the phyllotactic systems of botany do not arise in this way' C24/49
Note that sections 7 and 13-18 of the C24 ms are not numbered in the TS.
N10: "Remarks to be incorporated"; M6; M7; M3.
Section II: Saunders has sections 1-7; but C24/15 is entitled '13 Stationary waves in continuous tissue and abstract space' ... and surely continues MTP II. Followed by C24/16, C24/17 and perhaps by C24/26v?
Drafts of material in Saunders MTPII C24/30 p101 (Effects of random disturbances) C24/31 probably follows C24/32 as an earlier draft of Saunders pp102-105 C24/33 Earlier draft of Saunders p99
C24/26v Refers to section 12.7 as general discussion of form of solution
C24/19; C24/27 then C24/29; C24/26; C24/34v to C24/39v.
C24/18
C27/88 to C27/106: Typescript of Wardlaw (1955).
C27/87; C27/30
C24/41, C24/42, C24/46 (?8)
The spherical case done by B Richards: C27/36 to C27/40.
C27/54v
C24/56(?4)v
C24/19v discarded plot of $\half U_0+120 U_0^2 -3600 _0^3$
C24/20 discarded FIRSTART ?
C24/26 discarded draft of MTP section 12
C24/34..C24/39 C24/40 C24/47v C24/48v are drafts of article on `word problem' in Penguin Science News, early 1954.
C27/2v Discarded MUCML coding sheet for IBSEN 4
C27/3v Discarded MUCML coding sheet for Test crystal
C27/5v Discarded coding
C27/14v Discarded MUCML Check sheet for BURSTSB (2)
C27/17v Discarded eigenvalue table X,Y,Z, X', Y', Z' vs 0,1,1',2,2',3
C27/56 discarded MS draft 'Naturally occuring Phyllotactic patterns'
C27/57 continues C27/56