// 黑点P的漂游 Drift of the black point P

一张白纸上有固定的两个黑点F1和F2，还有一个游移不定的黑点P。黑点P被F1和F2拉扯着：点P到F1的距离与其到F2的距离之和始终恒定。黑点P在这样的束缚下游荡的轨迹被称为“椭圆”。

There are two fixed black points F1 and F2 on a piece of white paper, and a black point P that is indeterminate. The black point P is pulled by F1 and F2: the sum of the distance from point P to F1 and its distance from F2 is always constant. The trajectory of the black point P that sways downstream of such a restraint is called an "oval".

// 迷人之处？ Fascination?

数学中的椭圆由两个焦点F1和F2以及动点P定义。在椭圆形的涡旋中，边缘溅起的白色水沫离漩涡中心时近时远，与此同时，当它们靠近F1时就远离了F2，靠近F2时又远离F1。这样此消彼长的矛盾变化是椭圆涡旋比正圆涡旋更加迷人的特质。

The oval in mathematics is defined by two focal points F1 and F2 and the moving point P. In an elliptical vortex, the white water splashing from the edge is near and far from the center of the vortex, and at the same time, when they are close to F1, they are far away from F2, and when they are close to F2, they are far away from F1. This contradictory change is what makes the elliptical vortex more fascinating than the perfect circular vortex.

摄影©罗朗景观©山兮建筑空间摄影

我们被工作与生活拉扯着；

被幻觉与现实拉扯着；

被本我与超我拉扯着；

日子一天一天过，被束缚的我们走过一个又一个椭圆。

椭圆形的生命轨迹大大小小，宽宽窄窄……

却总有一个绝对的中心，这是本真的自我，是灵魂的温床，是生命力的泉眼。

We are struggled between work and life;

Between Illusion and reality;

Between id and superego;

Day after day, being bound, we walked one after another ellipse.

The life track of the oval is large and small, wide and narrow……

However, there must be an absolute center, where we can find the true self, the hotbed of our souls and the spring of vitality.

而我们的生命里总是充满矛盾：工作与生活，伪装与真实，欲望与道德…

矛盾的F1和F2已然恒定，真实的自我却稳居漩涡中心。

But our lives are always full of contradictions: work and life, disguise and truth, desire and morality...

The contradictory F1 and F2 are already constant, but the true self is at the center of the vortex.

// 近日点  Perihelion

“近日点”是地球最靠近太阳的位置。

在我们与生活和工作此消彼长的拉锯中（或者在与生命中其它不可或缺的矛盾的拉锯中），漩涡中心的泉眼就是我们各自的太阳。

The "perihelion" is where the location of the earth is the closest to the sun.

In our twists and turns with life and work, (Or in a saw with other indispensable contradictions in life) the spring of the vortex center is our own sun.

生命总不如正圆般完美，既然矛盾是生命的常态，愿我们总能抵达近日点，平衡我们同F1和F2的距离，在或宽或窄的椭圆轨迹上，始终铭记泉眼深处的“自我”。

Life is not as perfect as a perfect circle. Since contradiction is the normal state of life, we can always reach the nearest point, balance our distance from F1 and F2, and always remember theself in the depths of the spring on the wide or narrow elliptical trajectory.

//  技术难点 Challenges

根据我们以往的经验，漩涡多发生于正圆，因为F点的距离一样，圆弧是等分均衡的，旋转的速度也是均衡的，可形成稳定的漩涡效果。如果要在椭圆的容器中实现漩涡的效果，由于F点的距离不一样，圆弧不均衡。漩涡能旋转的起来吗？

According to our previous experience, the vortex mostly occurs in aperfect circle. Because the distance of the F point is the same, the arc is equally divided, and the rotation speed is also balanced, which can form a stable vortex effect. However if you want to achieve the effect of the vortex in the elliptical container, the arc is not balanced because the distance of the point F is different. Can the vortex spin up?

为了模拟达到旋转的效果，我们在设计之初就做了一个1:10的椭圆形实体模型，来验证可行性。通过实体模型，我们解决了椭圆旋转的问题。没错，可以旋转。

In order to simulate the effect of the rotation, we made a 1:10 elliptical solid model at the beginning of the design to verify the feasibility. Through the solid model, we solved the problem of elliptical rotation. That's right, it can rotate.

摄影©罗朗景观©山兮建筑空间摄影

但是，通过实体模型却发现了另外一个技术难点。椭圆F点的距离天生不一样，意味着旋转的速度始终无法均衡。就像，当你在一条直路上急速开车，突然拐弯，形成飘移。水也是一样，水容易在短边“拐弯”的时候，“飘移”出去。

However, another technical difficulty has been discovered through the physical model. The distance of the elliptical point F is inherently different,meaning that the speed of rotation is never balanced. Just like when you drive fast in a straight road, you suddenly turn and form a drift. Water may have the same problem, when water is “turning” on the short side, it “floats” out.

在实际建造中，由于尺度大大超过实体模型。假设速度和水量得不到平衡，容易瞬间产生水的堆积，势必会产生“飘移”，水景的美感将会大打折扣。

In actual construction, the scale is much larger than the physical model. Assuming that the speed and the amount of water are not balanced, it iseasy to produce water accumulation in an instant, which is bound to produce"floating", and the beauty of the waterscape will be greatly reduced.

//  技术设计及控制 Solutions

基于对问题充分的思考，在技术阶段的施工图中，我们着重解决一些问题。

Based on the full consideration of the problem, in the construction drawing of the technical stage, we focus on solving some certain problems.

第一，我们根据椭圆的造型，设置了更加利于均衡上水的出水口位置。我们向景观设计顾问罗朗建议了土建的做法，他们也对土建的做法进行了优化，确保功能的实现和完成面的美观。

First, we set the position of the water outlet that is more conducive to balancing the water according to the shape of the ellipse. We advised the landscape design consultant LAURENT on the civil construction practices. They also optimized the civil construction practices to ensure the realization ofthe functions and the aesthetics of the finished surfaces.

第二，我们考虑了速度可以调节的阈值范围，为后期调试详尽可能性。每个出水口的速度调节是这个项目的重中之重，难中之难，所以我们设置了可供调节的多种速度组合模式。在调试阶段，我们对多种速度叠加的模式进行了测试，最终选择了最满意的一种。

Second, we considered the threshold range over which the speed can be adjusted for detailed possibilities for later commissioning. The speed adjustment of each outlet is the top priority of this project, which is also the most difficult one, so we set a variety of speed combination modes for adjustment. In the debugging phase, we tested a variety of speed superimposed modes and finally chose the most satisfactory one.

第三，我们考虑了基本无旋动的模式。即便在漩涡不开启的时候，水池也能维持相对静止的状态，并有一点微微动态的旋转。

Third, we considered a mode that is basically non-rotating. Even when the vortex is not turned on, the pool can maintain a relatively static state with a slight dynamic rotation.

// 椭圆水池建造的土建问题

Civil engineering problems in the construction of elliptical pools

椭圆形水池的土建施工难度原本就高，加之漩涡水池的双层构造也很复杂，还要解决防水和严格的水位问题，无疑对园林施工单位带来了很大的挑战。如果椭圆的土建及装饰面等做不到位，对景观美观上会带来不利影响，更为深远的影响是：会影响漩涡效果的形成。

The difficulty of civil construction of the elliptical pool is originally high, and the double-layer structure of the whirlpool is also very complicated. It also solves the problem of waterproofing and strict water level, which undoubtedly brings great challenges to the garden construction companies. If the civil and decorative surfaces of the ellipse are not finished perfectly, it will have an adverse effect on the aesthetics of the landscape. The far-reaching effect is that it will affect the formation of the vortex effect.

土建的水池才是漩涡的容器，容器的问题多，漩涡自然也不可能形成。如果水池不圆滑，会产生阻力；如果水池顶的标高有几毫米的误差，都会加重水的“飘移”。

The civil engineering pool is the container of the vortex. There are many problems with the container, and the vortex is naturally impossible to form. Resistance may occur if the pool is not smooth enough and if the elevation of the top of the pool has a few millimeters of error, it will increase the "floating" problem of the water.

// 建造的过程  The process of construction

实际建造过程中，得力于业主世茂集团山东地区公司，景观设计单位罗朗，园林总包百年园林的全力支持和积极配合，素水团队的专业付出，为这个项目呈现完美的效果保驾护航。

Thanks to the full support and active cooperation of Shimao Group, landscape  Design Laurent, the landscape contractor Bainian. as well as the professional dedication of Sushui Design team, the presentation of this project is proved to be a great success.