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StarInfo/Lurcock/!SpiroLat/!Help
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
Tape/disk: | Home » Recent acquisitions » Acorn ADFS disks » adfs_AcornUser_199609.adf » Regulars |
Filename: | StarInfo/Lurcock/!SpiroLat/!Help |
Read OK: | ✔ |
File size: | 0C60 bytes |
Load address: | 0000 |
Exec address: | 0000 |
File contents
SpiroLateral 1.01 � 1996 Pontus Lurcock 10.04.1996 ============================================================================ What is a Spirolateral? ----------------------- A Spirolateral might bear a passing resemblance to a Spirograph picture at first but in fact it's more like a subset of Logo. Basically the procedure for drawing one is: Repeat For Length = 1 to n Go forward (drawing a line) for Length units Turn through A degrees, either to the left or to the right Next Until you reach your starting point again A is from 0 to 180 (exclusive), and the sequence of left and right turns is predetermined by the user. How to use the program ---------------------- !SpiroLat requires Acorn's toolbox modules, and the DrawFile module for redrawing. Interactive help is supported. The things you can change in the toolbar are: the order of the spirolateral (n in the pseudocode above; the maximum line length), the angle of the turns, and the direction of each turn. The directions are specified using a sequence of letters: "L", "l" or "<" for left and "R", "r" or ">" for right. Some spirolaterals will not close; they never return to their starting point, preferring to scoot off to infinity (all even-ordered spirolaterals with an equal number of left and right turns do this). When given an infinite spirolateral, !SpiroLat will draw one iteration only, in red. Clicking Menu will bring up a save box from which you can save to file or to another application. The Scale factor only affects the saved drawfile; the file displayed by !SpiroLat is always scaled to fill the window. If the number of letters in the 'Turns' icon is less than the order, the unspecified turns will default to right. A huge variety of different spirolaterals is possible, including some disgustingly large ones which take ages to redraw and don't look very good. In general, the more common factors a spirolateral's angle has with 360, the more simple it will be. This means, for example, that angles which are prime numbers will tend to produce larger, denser patterns. Once you have produced a nice-looking spirolateral, it can be further beautified by some judicious tinkering in !Draw. Most spirolaterals look good if you change the line colour to none, change the fill colour to something pleasant, and make sure the winding rule is even-odd. A few examples can be found in the file 'Examples' within the !SpiroLat directory - though note that they represent only a tiny sample of what is possible :-) Acknowledgements and Stuff -------------------------- I came across spirolaterals in a book by Martin Gardner. I think it was called 'Knotted Doughnuts' - it was a collection of Gardner's Scientific American articles... I'd also like to acknowledge the person who invented the cunning algorithm for finding the length of a spirolateral, but I can't remember his name :-( Thanks also to Jonathan Coxhead for the excellent OSLib, and of course everyone on Arcade... My address, for bug reports, comments, and all the usual stuff: pontus@arcade.demon.co.uk or 9 Monmouth Road, Oxford OX1 4TD
00000000 53 70 69 72 6f 4c 61 74 65 72 61 6c 20 31 2e 30 |SpiroLateral 1.0| 00000010 31 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 |1 | 00000020 a9 20 31 39 39 36 20 50 6f 6e 74 75 73 20 4c 75 |. 1996 Pontus Lu| 00000030 72 63 6f 63 6b 20 20 20 20 20 20 20 20 20 20 20 |rcock | 00000040 31 30 2e 30 34 2e 31 39 39 36 0a 3d 3d 3d 3d 3d |10.04.1996.=====| 00000050 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d |================| * 00000090 3d 3d 3d 3d 3d 3d 3d 0a 0a 0a 57 68 61 74 20 69 |=======...What i| 000000a0 73 20 61 20 53 70 69 72 6f 6c 61 74 65 72 61 6c |s a Spirolateral| 000000b0 3f 0a 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d |?.--------------| 000000c0 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 0a 41 20 53 70 69 |---------..A Spi| 000000d0 72 6f 6c 61 74 65 72 61 6c 20 6d 69 67 68 74 20 |rolateral might | 000000e0 62 65 61 72 20 61 20 70 61 73 73 69 6e 67 20 72 |bear a passing r| 000000f0 65 73 65 6d 62 6c 61 6e 63 65 20 74 6f 20 61 20 |esemblance to a | 00000100 53 70 69 72 6f 67 72 61 70 68 20 70 69 63 74 75 |Spirograph pictu| 00000110 72 65 20 61 74 0a 66 69 72 73 74 20 62 75 74 20 |re at.first but | 00000120 69 6e 20 66 61 63 74 20 69 74 27 73 20 6d 6f 72 |in fact it's mor| 00000130 65 20 6c 69 6b 65 20 61 20 73 75 62 73 65 74 20 |e like a subset | 00000140 6f 66 20 4c 6f 67 6f 2e 20 42 61 73 69 63 61 6c |of Logo. Basical| 00000150 6c 79 20 74 68 65 20 70 72 6f 63 65 64 75 72 65 |ly the procedure| 00000160 0a 66 6f 72 20 64 72 61 77 69 6e 67 20 6f 6e 65 |.for drawing one| 00000170 20 69 73 3a 0a 0a 20 20 52 65 70 65 61 74 0a 20 | is:.. Repeat. | 00000180 20 20 20 46 6f 72 20 4c 65 6e 67 74 68 20 3d 20 | For Length = | 00000190 31 20 74 6f 20 6e 0a 20 20 20 20 20 20 47 6f 20 |1 to n. Go | 000001a0 66 6f 72 77 61 72 64 20 28 64 72 61 77 69 6e 67 |forward (drawing| 000001b0 20 61 20 6c 69 6e 65 29 20 66 6f 72 20 4c 65 6e | a line) for Len| 000001c0 67 74 68 20 75 6e 69 74 73 0a 20 20 20 20 20 20 |gth units. | 000001d0 54 75 72 6e 20 74 68 72 6f 75 67 68 20 41 20 64 |Turn through A d| 000001e0 65 67 72 65 65 73 2c 20 65 69 74 68 65 72 20 74 |egrees, either t| 000001f0 6f 20 74 68 65 20 6c 65 66 74 20 6f 72 20 74 6f |o the left or to| 00000200 20 74 68 65 20 72 69 67 68 74 0a 20 20 20 20 4e | the right. N| 00000210 65 78 74 0a 20 20 55 6e 74 69 6c 20 79 6f 75 20 |ext. Until you | 00000220 72 65 61 63 68 20 79 6f 75 72 20 73 74 61 72 74 |reach your start| 00000230 69 6e 67 20 70 6f 69 6e 74 20 61 67 61 69 6e 0a |ing point again.| 00000240 0a 41 20 69 73 20 66 72 6f 6d 20 30 20 74 6f 20 |.A is from 0 to | 00000250 31 38 30 20 28 65 78 63 6c 75 73 69 76 65 29 2c |180 (exclusive),| 00000260 20 61 6e 64 20 74 68 65 20 73 65 71 75 65 6e 63 | and the sequenc| 00000270 65 20 6f 66 20 6c 65 66 74 20 61 6e 64 20 72 69 |e of left and ri| 00000280 67 68 74 20 74 75 72 6e 73 20 69 73 0a 70 72 65 |ght turns is.pre| 00000290 64 65 74 65 72 6d 69 6e 65 64 20 62 79 20 74 68 |determined by th| 000002a0 65 20 75 73 65 72 2e 0a 0a 0a 48 6f 77 20 74 6f |e user....How to| 000002b0 20 75 73 65 20 74 68 65 20 70 72 6f 67 72 61 6d | use the program| 000002c0 0a 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d |.---------------| 000002d0 2d 2d 2d 2d 2d 2d 2d 0a 0a 21 53 70 69 72 6f 4c |-------..!SpiroL| 000002e0 61 74 20 72 65 71 75 69 72 65 73 20 41 63 6f 72 |at requires Acor| 000002f0 6e 27 73 20 74 6f 6f 6c 62 6f 78 20 6d 6f 64 75 |n's toolbox modu| 00000300 6c 65 73 2c 20 61 6e 64 20 74 68 65 20 44 72 61 |les, and the Dra| 00000310 77 46 69 6c 65 20 6d 6f 64 75 6c 65 20 66 6f 72 |wFile module for| 00000320 0a 72 65 64 72 61 77 69 6e 67 2e 20 49 6e 74 65 |.redrawing. Inte| 00000330 72 61 63 74 69 76 65 20 68 65 6c 70 20 69 73 20 |ractive help is | 00000340 73 75 70 70 6f 72 74 65 64 2e 0a 0a 54 68 65 20 |supported...The | 00000350 74 68 69 6e 67 73 20 79 6f 75 20 63 61 6e 20 63 |things you can c| 00000360 68 61 6e 67 65 20 69 6e 20 74 68 65 20 74 6f 6f |hange in the too| 00000370 6c 62 61 72 20 61 72 65 3a 20 74 68 65 20 6f 72 |lbar are: the or| 00000380 64 65 72 20 6f 66 20 74 68 65 20 73 70 69 72 6f |der of the spiro| 00000390 6c 61 74 65 72 61 6c 0a 28 6e 20 69 6e 20 74 68 |lateral.(n in th| 000003a0 65 20 70 73 65 75 64 6f 63 6f 64 65 20 61 62 6f |e pseudocode abo| 000003b0 76 65 3b 20 74 68 65 20 6d 61 78 69 6d 75 6d 20 |ve; the maximum | 000003c0 6c 69 6e 65 20 6c 65 6e 67 74 68 29 2c 20 74 68 |line length), th| 000003d0 65 20 61 6e 67 6c 65 20 6f 66 20 74 68 65 20 74 |e angle of the t| 000003e0 75 72 6e 73 2c 0a 61 6e 64 20 74 68 65 20 64 69 |urns,.and the di| 000003f0 72 65 63 74 69 6f 6e 20 6f 66 20 65 61 63 68 20 |rection of each | 00000400 74 75 72 6e 2e 20 54 68 65 20 64 69 72 65 63 74 |turn. The direct| 00000410 69 6f 6e 73 20 61 72 65 20 73 70 65 63 69 66 69 |ions are specifi| 00000420 65 64 20 75 73 69 6e 67 20 61 20 73 65 71 75 65 |ed using a seque| 00000430 6e 63 65 0a 6f 66 20 6c 65 74 74 65 72 73 3a 20 |nce.of letters: | 00000440 22 4c 22 2c 20 22 6c 22 20 6f 72 20 22 3c 22 20 |"L", "l" or "<" | 00000450 66 6f 72 20 6c 65 66 74 20 61 6e 64 20 22 52 22 |for left and "R"| 00000460 2c 20 22 72 22 20 6f 72 20 22 3e 22 20 66 6f 72 |, "r" or ">" for| 00000470 20 72 69 67 68 74 2e 0a 0a 53 6f 6d 65 20 73 70 | right...Some sp| 00000480 69 72 6f 6c 61 74 65 72 61 6c 73 20 77 69 6c 6c |irolaterals will| 00000490 20 6e 6f 74 20 63 6c 6f 73 65 3b 20 74 68 65 79 | not close; they| 000004a0 20 6e 65 76 65 72 20 72 65 74 75 72 6e 20 74 6f | never return to| 000004b0 20 74 68 65 69 72 20 73 74 61 72 74 69 6e 67 20 | their starting | 000004c0 70 6f 69 6e 74 2c 0a 70 72 65 66 65 72 72 69 6e |point,.preferrin| 000004d0 67 20 74 6f 20 73 63 6f 6f 74 20 6f 66 66 20 74 |g to scoot off t| 000004e0 6f 20 69 6e 66 69 6e 69 74 79 20 28 61 6c 6c 20 |o infinity (all | 000004f0 65 76 65 6e 2d 6f 72 64 65 72 65 64 20 73 70 69 |even-ordered spi| 00000500 72 6f 6c 61 74 65 72 61 6c 73 20 77 69 74 68 20 |rolaterals with | 00000510 61 6e 0a 65 71 75 61 6c 20 6e 75 6d 62 65 72 20 |an.equal number | 00000520 6f 66 20 6c 65 66 74 20 61 6e 64 20 72 69 67 68 |of left and righ| 00000530 74 20 74 75 72 6e 73 20 64 6f 20 74 68 69 73 29 |t turns do this)| 00000540 2e 20 57 68 65 6e 20 67 69 76 65 6e 20 61 6e 20 |. When given an | 00000550 69 6e 66 69 6e 69 74 65 0a 73 70 69 72 6f 6c 61 |infinite.spirola| 00000560 74 65 72 61 6c 2c 20 21 53 70 69 72 6f 4c 61 74 |teral, !SpiroLat| 00000570 20 77 69 6c 6c 20 64 72 61 77 20 6f 6e 65 20 69 | will draw one i| 00000580 74 65 72 61 74 69 6f 6e 20 6f 6e 6c 79 2c 20 69 |teration only, i| 00000590 6e 20 72 65 64 2e 0a 0a 43 6c 69 63 6b 69 6e 67 |n red...Clicking| 000005a0 20 4d 65 6e 75 20 77 69 6c 6c 20 62 72 69 6e 67 | Menu will bring| 000005b0 20 75 70 20 61 20 73 61 76 65 20 62 6f 78 20 66 | up a save box f| 000005c0 72 6f 6d 20 77 68 69 63 68 20 79 6f 75 20 63 61 |rom which you ca| 000005d0 6e 20 73 61 76 65 20 74 6f 20 66 69 6c 65 20 6f |n save to file o| 000005e0 72 20 74 6f 0a 61 6e 6f 74 68 65 72 20 61 70 70 |r to.another app| 000005f0 6c 69 63 61 74 69 6f 6e 2e 0a 0a 54 68 65 20 53 |lication...The S| 00000600 63 61 6c 65 20 66 61 63 74 6f 72 20 6f 6e 6c 79 |cale factor only| 00000610 20 61 66 66 65 63 74 73 20 74 68 65 20 73 61 76 | affects the sav| 00000620 65 64 20 64 72 61 77 66 69 6c 65 3b 20 74 68 65 |ed drawfile; the| 00000630 20 66 69 6c 65 20 64 69 73 70 6c 61 79 65 64 20 | file displayed | 00000640 62 79 0a 21 53 70 69 72 6f 4c 61 74 20 69 73 20 |by.!SpiroLat is | 00000650 61 6c 77 61 79 73 20 73 63 61 6c 65 64 20 74 6f |always scaled to| 00000660 20 66 69 6c 6c 20 74 68 65 20 77 69 6e 64 6f 77 | fill the window| 00000670 2e 0a 0a 49 66 20 74 68 65 20 6e 75 6d 62 65 72 |...If the number| 00000680 20 6f 66 20 6c 65 74 74 65 72 73 20 69 6e 20 74 | of letters in t| 00000690 68 65 20 27 54 75 72 6e 73 27 20 69 63 6f 6e 20 |he 'Turns' icon | 000006a0 69 73 20 6c 65 73 73 20 74 68 61 6e 20 74 68 65 |is less than the| 000006b0 20 6f 72 64 65 72 2c 20 74 68 65 0a 75 6e 73 70 | order, the.unsp| 000006c0 65 63 69 66 69 65 64 20 74 75 72 6e 73 20 77 69 |ecified turns wi| 000006d0 6c 6c 20 64 65 66 61 75 6c 74 20 74 6f 20 72 69 |ll default to ri| 000006e0 67 68 74 2e 0a 0a 41 20 68 75 67 65 20 76 61 72 |ght...A huge var| 000006f0 69 65 74 79 20 6f 66 20 64 69 66 66 65 72 65 6e |iety of differen| 00000700 74 20 73 70 69 72 6f 6c 61 74 65 72 61 6c 73 20 |t spirolaterals | 00000710 69 73 20 70 6f 73 73 69 62 6c 65 2c 20 69 6e 63 |is possible, inc| 00000720 6c 75 64 69 6e 67 20 73 6f 6d 65 0a 64 69 73 67 |luding some.disg| 00000730 75 73 74 69 6e 67 6c 79 20 6c 61 72 67 65 20 6f |ustingly large o| 00000740 6e 65 73 20 77 68 69 63 68 20 74 61 6b 65 20 61 |nes which take a| 00000750 67 65 73 20 74 6f 20 72 65 64 72 61 77 20 61 6e |ges to redraw an| 00000760 64 20 64 6f 6e 27 74 20 6c 6f 6f 6b 20 76 65 72 |d don't look ver| 00000770 79 20 67 6f 6f 64 2e 0a 49 6e 20 67 65 6e 65 72 |y good..In gener| 00000780 61 6c 2c 20 74 68 65 20 6d 6f 72 65 20 63 6f 6d |al, the more com| 00000790 6d 6f 6e 20 66 61 63 74 6f 72 73 20 61 20 73 70 |mon factors a sp| 000007a0 69 72 6f 6c 61 74 65 72 61 6c 27 73 20 61 6e 67 |irolateral's ang| 000007b0 6c 65 20 68 61 73 20 77 69 74 68 20 33 36 30 2c |le has with 360,| 000007c0 20 74 68 65 0a 6d 6f 72 65 20 73 69 6d 70 6c 65 | the.more simple| 000007d0 20 69 74 20 77 69 6c 6c 20 62 65 2e 20 54 68 69 | it will be. Thi| 000007e0 73 20 6d 65 61 6e 73 2c 20 66 6f 72 20 65 78 61 |s means, for exa| 000007f0 6d 70 6c 65 2c 20 20 74 68 61 74 20 61 6e 67 6c |mple, that angl| 00000800 65 73 20 77 68 69 63 68 20 61 72 65 20 70 72 69 |es which are pri| 00000810 6d 65 0a 6e 75 6d 62 65 72 73 20 77 69 6c 6c 20 |me.numbers will | 00000820 74 65 6e 64 20 74 6f 20 70 72 6f 64 75 63 65 20 |tend to produce | 00000830 6c 61 72 67 65 72 2c 20 64 65 6e 73 65 72 20 70 |larger, denser p| 00000840 61 74 74 65 72 6e 73 2e 0a 0a 4f 6e 63 65 20 79 |atterns...Once y| 00000850 6f 75 20 68 61 76 65 20 70 72 6f 64 75 63 65 64 |ou have produced| 00000860 20 61 20 6e 69 63 65 2d 6c 6f 6f 6b 69 6e 67 20 | a nice-looking | 00000870 73 70 69 72 6f 6c 61 74 65 72 61 6c 2c 20 69 74 |spirolateral, it| 00000880 20 63 61 6e 20 62 65 20 66 75 72 74 68 65 72 0a | can be further.| 00000890 62 65 61 75 74 69 66 69 65 64 20 62 79 20 73 6f |beautified by so| 000008a0 6d 65 20 6a 75 64 69 63 69 6f 75 73 20 74 69 6e |me judicious tin| 000008b0 6b 65 72 69 6e 67 20 69 6e 20 21 44 72 61 77 2e |kering in !Draw.| 000008c0 20 4d 6f 73 74 20 73 70 69 72 6f 6c 61 74 65 72 | Most spirolater| 000008d0 61 6c 73 20 6c 6f 6f 6b 20 67 6f 6f 64 0a 69 66 |als look good.if| 000008e0 20 79 6f 75 20 63 68 61 6e 67 65 20 74 68 65 20 | you change the | 000008f0 6c 69 6e 65 20 63 6f 6c 6f 75 72 20 74 6f 20 6e |line colour to n| 00000900 6f 6e 65 2c 20 63 68 61 6e 67 65 20 74 68 65 20 |one, change the | 00000910 66 69 6c 6c 20 63 6f 6c 6f 75 72 20 74 6f 20 73 |fill colour to s| 00000920 6f 6d 65 74 68 69 6e 67 0a 70 6c 65 61 73 61 6e |omething.pleasan| 00000930 74 2c 20 61 6e 64 20 6d 61 6b 65 20 73 75 72 65 |t, and make sure| 00000940 20 74 68 65 20 77 69 6e 64 69 6e 67 20 72 75 6c | the winding rul| 00000950 65 20 69 73 20 65 76 65 6e 2d 6f 64 64 2e 20 41 |e is even-odd. A| 00000960 20 66 65 77 20 65 78 61 6d 70 6c 65 73 20 63 61 | few examples ca| 00000970 6e 20 62 65 0a 66 6f 75 6e 64 20 69 6e 20 74 68 |n be.found in th| 00000980 65 20 66 69 6c 65 20 27 45 78 61 6d 70 6c 65 73 |e file 'Examples| 00000990 27 20 77 69 74 68 69 6e 20 74 68 65 20 21 53 70 |' within the !Sp| 000009a0 69 72 6f 4c 61 74 20 64 69 72 65 63 74 6f 72 79 |iroLat directory| 000009b0 20 2d 20 74 68 6f 75 67 68 20 6e 6f 74 65 0a 74 | - though note.t| 000009c0 68 61 74 20 74 68 65 79 20 72 65 70 72 65 73 65 |hat they represe| 000009d0 6e 74 20 6f 6e 6c 79 20 61 20 74 69 6e 79 20 73 |nt only a tiny s| 000009e0 61 6d 70 6c 65 20 6f 66 20 77 68 61 74 20 69 73 |ample of what is| 000009f0 20 70 6f 73 73 69 62 6c 65 20 3a 2d 29 0a 0a 0a | possible :-)...| 00000a00 41 63 6b 6e 6f 77 6c 65 64 67 65 6d 65 6e 74 73 |Acknowledgements| 00000a10 20 61 6e 64 20 53 74 75 66 66 0a 2d 2d 2d 2d 2d | and Stuff.-----| 00000a20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d |----------------| 00000a30 2d 2d 2d 2d 2d 0a 0a 49 20 63 61 6d 65 20 61 63 |-----..I came ac| 00000a40 72 6f 73 73 20 73 70 69 72 6f 6c 61 74 65 72 61 |ross spirolatera| 00000a50 6c 73 20 69 6e 20 61 20 62 6f 6f 6b 20 62 79 20 |ls in a book by | 00000a60 4d 61 72 74 69 6e 20 47 61 72 64 6e 65 72 2e 20 |Martin Gardner. | 00000a70 49 20 74 68 69 6e 6b 20 69 74 20 77 61 73 0a 63 |I think it was.c| 00000a80 61 6c 6c 65 64 20 27 4b 6e 6f 74 74 65 64 20 44 |alled 'Knotted D| 00000a90 6f 75 67 68 6e 75 74 73 27 20 2d 20 69 74 20 77 |oughnuts' - it w| 00000aa0 61 73 20 61 20 63 6f 6c 6c 65 63 74 69 6f 6e 20 |as a collection | 00000ab0 6f 66 20 47 61 72 64 6e 65 72 27 73 20 53 63 69 |of Gardner's Sci| 00000ac0 65 6e 74 69 66 69 63 0a 41 6d 65 72 69 63 61 6e |entific.American| 00000ad0 20 61 72 74 69 63 6c 65 73 2e 2e 2e 20 49 27 64 | articles... I'd| 00000ae0 20 61 6c 73 6f 20 6c 69 6b 65 20 74 6f 20 61 63 | also like to ac| 00000af0 6b 6e 6f 77 6c 65 64 67 65 20 74 68 65 20 70 65 |knowledge the pe| 00000b00 72 73 6f 6e 20 77 68 6f 20 69 6e 76 65 6e 74 65 |rson who invente| 00000b10 64 20 74 68 65 0a 63 75 6e 6e 69 6e 67 20 61 6c |d the.cunning al| 00000b20 67 6f 72 69 74 68 6d 20 66 6f 72 20 66 69 6e 64 |gorithm for find| 00000b30 69 6e 67 20 74 68 65 20 6c 65 6e 67 74 68 20 6f |ing the length o| 00000b40 66 20 61 20 73 70 69 72 6f 6c 61 74 65 72 61 6c |f a spirolateral| 00000b50 2c 20 62 75 74 20 49 20 63 61 6e 27 74 0a 72 65 |, but I can't.re| 00000b60 6d 65 6d 62 65 72 20 68 69 73 20 6e 61 6d 65 20 |member his name | 00000b70 3a 2d 28 0a 0a 54 68 61 6e 6b 73 20 61 6c 73 6f |:-(..Thanks also| 00000b80 20 74 6f 20 4a 6f 6e 61 74 68 61 6e 20 43 6f 78 | to Jonathan Cox| 00000b90 68 65 61 64 20 66 6f 72 20 74 68 65 20 65 78 63 |head for the exc| 00000ba0 65 6c 6c 65 6e 74 20 4f 53 4c 69 62 2c 20 61 6e |ellent OSLib, an| 00000bb0 64 20 6f 66 20 63 6f 75 72 73 65 0a 65 76 65 72 |d of course.ever| 00000bc0 79 6f 6e 65 20 6f 6e 20 41 72 63 61 64 65 2e 2e |yone on Arcade..| 00000bd0 2e 0a 0a 0a 4d 79 20 61 64 64 72 65 73 73 2c 20 |....My address, | 00000be0 66 6f 72 20 62 75 67 20 72 65 70 6f 72 74 73 2c |for bug reports,| 00000bf0 20 63 6f 6d 6d 65 6e 74 73 2c 20 61 6e 64 20 61 | comments, and a| 00000c00 6c 6c 20 74 68 65 20 75 73 75 61 6c 20 73 74 75 |ll the usual stu| 00000c10 66 66 3a 0a 0a 20 20 20 20 20 20 20 20 70 6f 6e |ff:.. pon| 00000c20 74 75 73 40 61 72 63 61 64 65 2e 64 65 6d 6f 6e |tus@arcade.demon| 00000c30 2e 63 6f 2e 75 6b 0a 6f 72 20 20 20 20 20 20 39 |.co.uk.or 9| 00000c40 20 4d 6f 6e 6d 6f 75 74 68 20 52 6f 61 64 2c 20 | Monmouth Road, | 00000c50 4f 78 66 6f 72 64 20 4f 58 31 20 34 54 44 0a 0a |Oxford OX1 4TD..| 00000c60