Actv regular tessellations
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Tessellations are tilings of regular polygons that cover a surface without overlaps or gaps. There are three regular polygons that tessellate on their own: triangles, squares, and hexagons. Semi-regular tessellations use two or more regular polygons, where every vertex has the same configuration of polygons meeting at the corners. Examples of semi-regular tessellations include configurations of triangles and hexagons such as 3,6,3,6 or 3,3,3,3,6.
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Wir erklären Ihnen, wie Sie häufige Konfigurationsprobleme lösen können, die dazu führen können, dass mehr Benutzer gezählt werden als nötig, und wie Sie überflüssige oder ungenutzte Konten identifizieren und entfernen können, um Geld zu sparen. Es gibt auch einige Ansätze, die zu unnötigen Ausgaben führen können, z. B. wenn ein Personendokument anstelle eines Mail-Ins für geteilte Mailboxen verwendet wird. Wir zeigen Ihnen solche Fälle und deren Lösungen. Und natürlich erklären wir Ihnen das neue Lizenzmodell.
Nehmen Sie an diesem Webinar teil, bei dem HCL-Ambassador Marc Thomas und Gastredner Franz Walder Ihnen diese neue Welt näherbringen. Es vermittelt Ihnen die Tools und das Know-how, um den Überblick zu bewahren. Sie werden in der Lage sein, Ihre Kosten durch eine optimierte Domino-Konfiguration zu reduzieren und auch in Zukunft gering zu halten.
Diese Themen werden behandelt
- Reduzierung der Lizenzkosten durch Auffinden und Beheben von Fehlkonfigurationen und überflüssigen Konten
- Wie funktionieren CCB- und CCX-Lizenzen wirklich?
- Verstehen des DLAU-Tools und wie man es am besten nutzt
- Tipps für häufige Problembereiche, wie z. B. Team-Postfächer, Funktions-/Testbenutzer usw.
- Praxisbeispiele und Best Practices zum sofortigen Umsetzen
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Actv regular tessellations
- 1. Tessellations What are tessellations? Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps. Remember the last puzzle you put together? Well, that was a tessellation! The shapes were just really weird. Example: We usually add a few more rules to make things interesting! REGULAR TESSELLATIONS: • RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps. • RULE #2: The tiles must be regular polygons - and all the same. • RULE #3: Each vertex must look the same. What's a vertex? where all the "corners" meet! What can we tessellate using these rules?
- 2. Triangles? Yep! Notice what happens at each vertex! The interior angle of each equilateral triangle is 60 degrees..... 60 + 60 + 60 + 60 + 60 + 60 = 360 degrees Squares? Yep! What happens at each vertex? 90 + 90 + 90 + 90 = 360 degrees again! So, we need to use regular polygons that add up to 360 degrees. Will pentagons work? The interior angle of a pentagon is 108 degrees. . . 108 + 108 + 108 = 324 degrees . . . Nope!
- 3. Hexagons? 120 + 120 + 120 = 360 degrees Yep! Heptagons? No way!! Now we are getting overlaps! Octagons? Nope!
- 4. They'll overlap too. In fact, all polygons with more than six sides will overlap! So, the only regular polygons that tessellate are triangles, squares and hexagons! SEMI-REGULAR TESSELLATIONS: These tessellations are made by using two or more different regular polygons. The rules are still the same. Every vertex must have the exact same configuration. Examples: 3, 6, 3, 6 3, 3, 3, 3, 6 These tessellations are both made up of hexagons and triangles, but their vertex configuration is different. That's why we've named them! To name a tessellation, simply work your way around one vertex counting the number of sides of the polygons that form that vertex. The trick is to go around the vertex in order so that the smallest numbers possible appear first. That's why we wouldn't call our 3, 3, 3, 3, 6 tessellation a 3, 3, 6, 3, 3! Here's another tessellation made up of hexagons and triangles. Can you see why this isn't an official semi-regular tessellation? It breaks the vertex rule! Do you see where?
- 5. Here are some tessellations using squares and triangles: 3, 3, 3, 4, 4 3, 3, 4, 3, 4 Can you see why this one won't be a semi-regular tessellation? MORE SEMI-REGULAR TESSELLATIONS What others semi-regular tessellations can you think of?
- 6. ACTIVITIES Open the Tessellation Creator: http://illuminations.nctm.org/ActivityDetail.aspx?ID=202 1. Create at least two semi-regular tessellations and fill in the following table: Sketch of Semi-Regular Tessellation Vertex Configuration Interior Angle Measures and Sum 2. Which regular shapes can make a configuration that tessellates? Why?