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"To form into a mosaic pattern, as by using small squares of stone or glass." Escher, Penrose, and other "Recreational mathematicians."A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps." Look at American folk art that uses tessellations (such as quilts).Enter your class in one of several online tessellation contests.Use Web resources to extend the lesson:.There are examples from medieval European art as well (e.g., stained glass patterns). The earliest tessellations we can find come from Islamic art circa 3000 BC. Tessellations have been used all around the world for many years. If you can have students point out the three features of tessellations, it will help to make their understanding more concrete and it will also review the definition. Teach students about the history of tessellations and show examples.Encourage students to experiment to see if they can discover other ways to make shapes tessellate.They will notice that only some, not all, can make a pattern that would fit all three of the criteria. Younger students can discover for themselves what shapes tessellate using pattern blocks and lots of space.Have your students teach another class how to tessellate.(For example, ask them to tell you who is adjacent to them or ask them to label the top right vertex of a shape you provide.) To assess an understanding of the vocabulary, create a quiz, or ask them to perform another project that requires an understanding of the terms.Note how the students follow multi-step directions as well as how they cut and trace (manual dexterity).(These were chosen because each tessellates.) Using the Student Directions worksheet, demonstrate how to transform a shape into something that will also tessellate. Provide students with the Shapes worksheet within the Tessellations packet, which has a copy of a square, a rectangle,a rhombus, and a hexagon on it. Define plane (use a concrete example in the room) and show students how the pattern could continue on that plane if it were to go on beyond the confines of the building (e.g., it could continue as a pattern on the ceiling without any gaps or overlaps even if the ceiling were to continue forever, far beyond the walls of your school).Ģ. Third, tessellations can continue on a plane forever.If students have pointed to a pattern in the room that has a gap or an overlap in it, point out that it does not fit the definition of a tessellation. Second, tessellations do not have gaps or overlaps.Tell students that while those are repeated patterns, only some are tessellations because tessellations are a very specific kind of pattern. Generate a list of the words one could use to describe these patterns. Ask students to find examples of repeated patterns in the room. Discuss the three basic attributes of tessellations: Ask students to tell you what they know about the word tessellation. Introduce key vocabulary words: tessellation, polygon, angle, plane, vertex and adjacent.
However, I till put at least 10 points into all stats, even the apparently useless ones, as the stat point cost is only 15 points, which is nearly same cost as 2 points into Encumberance over 30.Burberry's monochrome wallets complement a more tailored appearance, while the label's bolder wallets made with supple leather always make a statement. It's worth keeping points in stats that may seem useless atm, as they will become balanced and you'll want to have some points in them.Īgility has become more useful IMO, but Vitality and Encumberance are still most important for me. Such as your level, surprise attacks, power attacks, weapon range, armor penetration, etc.Īs there's no way in official to re-stat your char, other than wiping it and starting over. the recent rebalance of weapons has opened the way for more things to affect combat damage/mitigation. And changes constantly with each update.ĮG. What stats are useful is heavily dependent on server settings, and what you are trying to achieve. So I'm able to adjust everything to be balanced, so it's fun without the pointless grind. I also experiment with modifying stats directly in the database, which has proven very easy and effective, and does not break anything else in the game. While stats like Encumbrance become very important (as you gather very fast). So things like Grit are of little importance, except in combat. On my server, I have 5x gather/xp/crafting, as well as 0.5 stamina drain for running. but I do not find this noticeable, and have no idea exactly how it affects the speed debuff from armor. As such, once you have access to higher teir armor, Agility is a wasted stat for armor bonus.Īgility is also 'supposed' to give a reduction to the speed debuff due to armor encumbrance. meaning the different is damage mitigation between 10 and 20 armor is MUCH higher than from 80 to 90 Armor. We also know that armor stat is exponentially less effective as it goes up. We know that Agility gives bonus to armor at a 1:1 ratio. As such, it's hard to tell exactly the full extent of what a stat does. The game mechanics are every now and then being rebalanced a lot. Its not useless leveling but once you are at 50 its worth grabbing a golden lotus potion. That make Vit, Stamina and Encumberance far more important If that is the case, then the diminished return on putting points on strength is pretty heavy. Everything else with the right gear makes very little difference (imo). Not really useful unless you're shooting 150 arrows into Rhino King.Īt this stage the only stats that truly seem overly game influencing are Vitality, Encumberance and Grit. The translation of this at 50 is maybe one extra hit to kill a mob with 20 invested into Stength or Acc. Its slightly different with Acc as you add the bow and the arrow damage and add the 10% but it all works out roughly the same. So 10 points strength would take a 40pt damage weapon to 44. What this actually means at level 50 with Heavy Armor and 20 pts Agi + 20 pts Vitality is that a Rocknose will take 7 hits to take down 25% of your health vs 5 hits if you had the same Vitality and 0 Agility. Originally posted by Chem:The stat conversion is pretty straight forward it looks like.Īs you've said AGI is a straight up point for point addition to your armor. |
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