morphomatic.org

Morphomatic

A cite on morphological mathematics. Dette er en side om metrisk sirkel geometri som en presentasjon av mitt masterprosjekt. Signaturen på applettene har imidlertid gått ut, og jeg har ikke fått rettet det opp ennå. Her er imidlertid noen sider som er bearbeidet. Her er sider om historisk astronomi utviklet som del av et naturfagprosjekt. Her er materoppgave i metrisk geometri, arbeider i projektiv geometri, og artikler. Morten Eide, matematikk@morphomatic.org.

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Morphomatic | morphomatic.org Reviews

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A cite on morphological mathematics. Dette er en side om metrisk sirkel geometri som en presentasjon av mitt masterprosjekt. Signaturen på applettene har imidlertid gått ut, og jeg har ikke fått rettet det opp ennå. Her er imidlertid noen sider som er bearbeidet. Her er sider om historisk astronomi utviklet som del av et naturfagprosjekt. Her er materoppgave i metrisk geometri, arbeider i projektiv geometri, og artikler. Morten Eide, matematikk@morphomatic.org.

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1 morphomatic

2 oversikt

3 geometri sider

4 appolonius

5 åtte appoloniussirkler

6 appolonius gasket

7 historisk astronomi

8 arbeider

9 coupons

10 reviews

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Morphomatic | morphomatic.org Reviews

https://morphomatic.org

A cite on morphological mathematics. Dette er en side om metrisk sirkel geometri som en presentasjon av mitt masterprosjekt. Signaturen på applettene har imidlertid gått ut, og jeg har ikke fått rettet det opp ennå. Her er imidlertid noen sider som er bearbeidet. Her er sider om historisk astronomi utviklet som del av et naturfagprosjekt. Her er materoppgave i metrisk geometri, arbeider i projektiv geometri, og artikler. Morten Eide, matematikk@morphomatic.org.

INTERNAL PAGES

morphomatic.org

1

Planetsystemet

http://www.morphomatic.org/Astronomi/index.html

Hvordan månefaser blir til. Hippark og jordaksens dreining. Kopernikus' forklaring på planetsløyfer. Galileo Galilei og teleskopet. Sidene er utviklet av Morten Eide - Steinerskolen i Hurum. Applettene er laget med geometriprogrammet Cabri.

2

Morphomatic

http://www.morphomatic.org/Geometry/Apollonius/Appsirkler.html

A cite on morphological mathematics. Experimenting with the eight apollonius circles. Given three circles (blue) and their eight apollonius circles. The radiuses of the apollonius circles are connected by a formula. And this formula is used here. We see for example that the red circle is around the three blue ones, so the sign of the red circle around is positive. In the same manner the sign of the other circles are found. The sum of all the eight inverse radiuses is zero. 1/a 1/b 1/c 1/d 1/e 1/f 1/g 1/h.

3

Morpomatic

http://www.morphomatic.org/Geometry/CircleMetric/GascetF.html

A cite on morfological mathematics. One very special formation of integer circle relations, is what is called the apollonius gasket. This structure starts with a Descartes integer. Theorem: Given three circles a, b c tangent to each other, and two circles d and e tangent to the three. Then the relation of the radiuses of the circles are given by:. If the expression of the inverse radiuses are the same as the circles we get:. Three circles and line. Morten Eide, morteid@math.uio.no.

4

Morphomatic

http://www.morphomatic.org/Geometry/Apollonius/MetricCircle.html

A cite on morphological mathematics. The metric circle geometry has to do with the metric properties of structures that has circles as basic objects. Of these structures there are some only concerning the relations of the radiuses of the circles. Then there is also a very fundamental type that has to do with a kind of distance between circles, and from this theorems can be developed almost endlessly. The apollonius metric theorem. There are eight solutions to the apollonius.

5

Morphomatic

http://www.morphomatic.org/index.html

A cite on morphological mathematics. Dette er en side om metrisk sirkel geometri som en presentasjon av mitt masterprosjekt. Signaturen på applettene har imidlertid gått ut, og jeg har ikke fått rettet det opp ennå. Her er imidlertid noen sider som er bearbeidet. Her er sider om historisk astronomi utviklet som del av et naturfagprosjekt. Her er materoppgave i metrisk geometri, arbeider i projektiv geometri, og artikler. Morten Eide, matematikk@morphomatic.org.

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A cite on morphological mathematics. Dette er en side om metrisk sirkel geometri som en presentasjon av mitt masterprosjekt. Signaturen på applettene har imidlertid gått ut, og jeg har ikke fått rettet det opp ennå. Her er imidlertid noen sider som er bearbeidet. Her er sider om historisk astronomi utviklet som del av et naturfagprosjekt. Her er materoppgave i metrisk geometri, arbeider i projektiv geometri, og artikler. Morten Eide, matematikk@morphomatic.org.

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