World of Cubes 《魔幻立方体》

 

Leo teaches his cat Pallas all about cubes by applying his knowledge of geometry to their Stone Age world. Funny illustrations and stories provide a humorous introduction to math concepts. Information boxes accompany each story to explore how scientists, architects, and artists have all been inspired by the cubes form and how cubes are applied in the natural and designed world.

 

游戏中必不可少的骰子、神奇的魔方、百变的积木,它们都是立方体。立方体不仅好玩有趣、充满魔力,还非常有用,比如我们用来储物的盒子、纸箱,通常都是方方正正的,是因为这种形状更便于打包和运输。除此以外,方糖、冰块、集装箱、矿物晶体生活和自然界中的立方体可真不少。认识和了解立方体,不妨从观察身边的这些物体开始吧。

 

不过,你有没有想过,如果圆圆的苹果、西瓜、猕猴桃都变成立方体,会是什么样子呢?

 

World of Spheres 《奔跑的球》

 

Leo teaches his cat Pallas all about spheres by applying his knowledge of geometry to their Stone Age world. Entertaining illustrations and stories provide a fun introduction to math concepts, including radius, circumference, and diameter. Information boxes accompany each story to explore real applications of spheres in the natural and designed world.

 

你很难拖动地上的一个大家伙,可却能很容易地让一个球滚动起来,这是为什么?足球、篮球、棒球、乒乓球体育运动中缺了球可不行,它能轻松让全世界的人参与其中。自然界中其实也有许多物体呈球状,晶莹的雨滴、鲜艳的莓果、美丽的花朵,连我们居住的地球,其实也是一个大大的球体。除了容易滚动起来,球体还有哪些特点和作用?我们的地球,又是怎样一个球体呢?

 

World of Squares 《跳舞的方》

 

Leo teaches his cat Pallas all about squares by applying his knowledge of geometry to their Stone Age world. Funny illustrations and stories provide a humorous introduction to math concepts, explaining how lines and angles of equal size form squares that frame, support, and enclose. Information boxes accompany each story to explore real applications of squares in the natural and designed world.

 

方阵、广场、瓷砖、旗帜、地图、画框、屏幕生活中许多东西都是方的。方,总是给人方正规整、舒展大气的感觉,不过,规则的方可并不死板,它也可以灵巧多变。方形的马赛克经过精心的拼嵌,就能呈现出各种各样好看的图案;很多舞蹈都会采用方形的队形,形成一种变化丰富又不失秩序的美感。在对实物的观察中,我们可以逐步认识方的性质和特点,并进一步了解菱形、平行四边形等同类图形,以及它们在实际生活中的作用。

 

World of Triangles 《奇妙的三角》

 

Leo teaches his cat Pallas all about triangles by applying his knowledge of geometry to their Stone Age world. Entertaining illustrations and stories provide a fun introduction to math concepts, explaining that different shapes created by the meeting of three lines are given different names. Information boxes accompany each story to explore real applications of triangles in the natural and designed world.

 

三角形是一种美丽而奇妙的图形。它很醒目,常被用作标志起警示作用;它非常稳固,常被用在建筑中,斜拉桥、桁架、埃菲尔铁塔、山形墙,都用了三角形结构做支撑。生活中的三角形数不胜数:衣架、三脚架、船帆、三角铁;大自然中同样如此:犰狳身上的鳞甲是三角形的,鸟群迁徙时飞成的人字形,也非常接近三角形。三角形为什么如此稳固?它还有哪些奥秘?如何区分等边、等腰和不等边三角形,以及直角、锐角和钝角三角形呢?

 

World of Circles 《飞翔的圆》

 

Leo teaches his cat Pallas all about circles by applying his knowledge of geometry to their Stone Age world. Engaging illustrations and stories provide a fun introduction to math concepts, including tangents, ellipses, and more. Information boxes accompany each story to explore real applications of circles in the natural and designed world.

 

传说中的不列颠国王亚瑟让骑士们围坐在圆桌旁开会,圆形的桌子意味着没有主位,每个人都可以自由地发表意见;古罗马人修建出圆形的露天剧场,即使坐在最后一排,观众也能清楚地听到舞台上哪怕最细微的声音;圆可以滚动,可以旋转,于是便有了车轮、旋转木马、摩天轮圆究竟具有怎样的性质,让它的用途能如此广泛?其实,圆的奥秘也藏于大自然中,找找看,自然界中有哪些圆?

 

World of Lines 《唱歌的线》

 

Leo teaches his cat Pallas all about lines by applying his knowledge of geometry to their Stone Age world. Funny illustrations and stories provide a humorous introduction to math concepts. Leo explains the significance of points and how many points together make up lines and segments. Information boxes accompany each story to explore real applications of lines in the natural and designed world.

 

在五根等距离的平行线上标上音符和记号,就是一首美妙的乐曲;火车行驶在两条平行的铁轨上,咔嚓、咔嚓,一路唱着歌,去往远方在几何中,线是最基本,却也是最抽象的一种图形。虽然随手一画,就可以画出一条线来,但要用文字描述它,还真是不容易。什么是线段、射线?什么是平行线、相交线?不妨从生活中找答案吧。太阳光线、晾衣绳、队列、梯子、十字路,各种各样的线一定能带给你很多启发。另外,你知道纬线、经线、边界线吗?它们是否实际存在,作用又是什么呢?