[net.puzzle] Acute triangles in square puzzle

ebh@hou4b.UUCP (08/10/84)

[Pbeerfcbaqvat cnegf bs pbatehrag yvar-rngre ohtf ner pbatehrag]

>Chmmyr: Tvira n fdhner, svyy gur fdhner pbzcyrgryl
>jvgu NPHGR-NATYRQ gevnatyrf f. g.
>      Nern bs fdhner = Fhz bs gur nernf bs gur nphgr natyrq gevnatyrf

N fbyhgvba, pbaprvirq ol Zvxr Eborefba, naq sbeznyvmrq ol zr:

Tvira:  Fdhner NOPQ, jvgu iregvprf nf fubja:
		O	 N
		 +------+
		 |      |
		 |	|
		 +------+
		P	 Q

Abgngvba:  < = natyr, | = yvar frtzrag

Fgrcf:
	Pbafgehpg |NP naq |OQ.  Ynory gur cbvag jurer gurfr frtzragf
	vagrefrpg R.  (gur pragre cbvag bs gur fdhner)

	Ynory gur zvqcbvagf bs |NO, |OP, |PQ, naq |QN,
	J, K, L, naq M, erfcrpgviryl.

	Svaq n cbvag U ba |NR fhpu gung z<NU > z|UJ, (v.r,
	z<NUJ < 90qrt).

	Svaq n pbeerfcbaqvat cbvag W ba |PR fhpu gung z|RW = z|RU.

	Svaq n cbvag X ba |OR fhpu gung z|RX < z|RU.

	Svaq n pbeerfcbaqvat cbvag Y ba |QR fhpu gung z|RY = z|RX.

	Pbafgehpg frtzragf |UY, |YW, |WX, |XU.  Jung lbh abj unir
	fubhyq ybbx yvxr n fdhner jvgu n qvnzbaq va gur zvqqyr.

	Pbafgehpg natyrf <XJU, <UMY, <YLW, <WKX.

	ERZBIR frtzrag |WU.

Vg vf pyrne gung gur fhz bs gur nernf bs nyy gur gevnatyrf vf rdhny gb
gur nern bs gur fdhner, fvapr gur pbafgehpgvba vf jubyyl pbagnvarq
jvguva gur fdhner.  Vs nalbar jnagf vg, (naq nf fbba nf vg'f pbzcyrgrq,)
V'yy fhozvg n cebbs gung nyy natyrf ner nphgr.