JPH0915357A - Moon data displaying timepiece - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a moon data displaying timepiece for immediate recognition of the moon phase of the moon at an arbitrary time and a time angle at that time. SOLUTION: A timepiece has a hand-type analog timepiece function, and at the same time a plurality of moon-phase displaying bodies 31a-31l for displaying the moon-phase states from a new moon to a full moon being arranged in a layout corresponding to the time angle of the moon on a timepiece face. Also, a frequency-dividing circuit 4 for counting a current time, a RAM 9 for storing position information on the earth, and a control part 7 for calculating the hour angle data and moon age data of a moon at that time from time information which is counted by the frequency-dividing circuit and the position information stored at the RAM are provided. Also, the timepiece has a means for displaying moon-phase display bodies 31a-31l at a position corresponding to the hour angle data based on the hour angle data and the moon age data of the moon being calculated by the control part in the moon-phase state corresponding to the moon age data.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a month data display clock.

[0002]

2. Description of the Related Art Conventionally, a moon phase display panel is provided on the dial of an analog clock to display the moon phase that changes with the lunar movement of the moon, and the moon phase display panel is rotated to display the phases of the moon. It is known to do so.

In addition to the above-mentioned sloppy movement, there is also known a timepiece which displays only time-angle data indicating the position of the celestial sphere of the moon associated with the diurnal movement of the moon.

[0004]

However, in the prior art, an analog clock that displays the lunar phase of the moon displays only the lunar phase of the moon, and a clock that displays the time-angle data of the moon displays only the time-angle data. In order to know the relationship between the two, it is necessary to compare the lunar phase and angle data of the moon that are displayed separately. The reality is that there is no clock that can be recognized.

Therefore, an object of the present invention is to provide a month data display clock capable of immediately recognizing the moon phase of the moon at an arbitrary time and the time angle at that time.

[0006]

The month data display timepiece of the present invention has a hand-type analog timepiece function and extends from a new moon to a full moon arranged on the dial in an arrangement corresponding to the hour angle of the moon. A plurality of moon phase indicators capable of displaying the phase state, time measuring means for measuring the present time, position information storing means for storing position information on the earth, time information and position information measured by the time measuring means Calculation means for calculating the moon angle data and moon age data at that time from the position information stored in the memory means, and this time angle data based on the moon time angle data and moon age data calculated by this calculation means And a display drive unit for displaying the moon phase indicator at the position corresponding to the above in the moon phase state corresponding to the moon age data.

In the month data display timepiece according to a second aspect of the invention, the moon phase indicator is made to abut two bow-shaped display patterns using a liquid crystal display element, and the two moon-shaped display patterns are provided outside the respective display patterns. 2 using liquid crystal display element
A crescent-shaped display pattern is arranged to form a circular shape as a whole.

The operation of the present invention will be described below.

The time measuring means in the month data display timepiece according to the first aspect measures the present time. The calculation means calculates the hour angle data of the moon and the age data of the moon at that time from the time information measured by the time measuring means and the position information stored in the position information storage means. The display drive means is
Based on the moon angle data and moon age data calculated by the calculating means, the moon phase indicator at the position corresponding to the moon angle data on the dial is displayed in the moon phase state corresponding to the moon age data. As a result, the lunar phase of the moon at any time and the time angle at that time can be recognized at a glance simply by looking at the dial.

According to another aspect of the present invention, there is provided a month data display timepiece in which the moon phase display body is abutted with two bow-shaped display patterns using liquid crystal display elements, and the display patterns are provided on the outer sides of both display patterns. 2 using liquid crystal display element
Since the individual crescent-shaped display patterns are arranged and formed into a circular shape as a whole, the combination of lighting of two bow-shaped display patterns and two crescent-shaped display patterns according to the age data makes it possible to The moon phase indicator can display changes in the moon phase from the full moon to the new moon.

[0011]

Embodiments of the present invention will be described below in detail.

This embodiment shows a case in which the present invention is applied to a needle type analog timepiece, and FIG. 1 is a month data display timepiece of this embodiment. A character composed of a circular liquid crystal display device having a minute hand shaft (not shown) to which a minute hand 21 is attached and a through hole (not shown) of an hour hand shaft (not shown) to which an hour hand 22 is attached to the timepiece body 1. A board 30 is arranged. On the outer periphery of this dial 30, the hour angle 0 of the moon
Using a liquid crystal display element arranged at a position corresponding to 2 o'clock to 22:00 and capable of displaying a lunar phase state from a new moon to a full moon 12
The individual moon phase indicators 31a to 31l are provided, and the year 30. Month. Day. A digital display section 31m for hours, minutes, and seconds is provided, and the display section 2 described later is formed by the above 31a to 31m.

The twelve moon phase indicators 31a to 31
1 is 3 which are adjacent to each other with respect to the center of the dial 30.
They are arranged so as to form a central angle of 0 degree, and are arranged at positions corresponding to 1 o'clock to 12 o'clock of the analog timepiece.
The digital display section 31m shows the year. Month. Day. It is displayed only when the hour, minute, and second time is set, and is not displayed in the normal state. Further, the description of the time setting is omitted below.

The minute hand 2 is provided on the outer peripheral portion of the timepiece body 1.
1, crown 35a to correct the hour hand 22, clock mode,
Operation keys 35b for setting the month data display mode and data input keys 35c, 35d are provided so as to function as the key input unit 6.

FIG. 2 shows a concrete example of the structure of the moon phase display 31a. Two bow-shaped display patterns 32a and 32b using liquid crystal display elements are abutted to each other and the display pattern 32a, A crescent-shaped display pattern 33a, 33b is arranged on the outside of each 32b to form a circular shape as a whole. The lunar phase of every month can be displayed. The other moon phase indicators 31b to 31l are also the moon phase indicators 31a.
It has the same configuration as.

FIG. 3 shows a circuit configuration of the month data display clock according to the present embodiment. The oscillator 3 generates a clock signal having a constant cycle, for example, 32768 Hz, and the frequency dividing circuit 4 is used.
And to the timing signal generating circuit 5. The frequency divider circuit 4 divides the clock signal to generate a timekeeping signal which serves as a reference for the timekeeping operation of the control unit (CPU) 7. In addition, the timing signal creation circuit 5 creates a timing signal for operating each circuit unit (not shown) in the control unit 7.

The key input section 6 is the operation keys 35b to 3b.
An operation signal from 5d is sent to the control unit 7.

Further, the month data display clock of this embodiment is a program ROM (readout) storing various operation programs such as a timekeeping program, a display program, a moon time angle calculation program, and a moon age calculation program.・ Only memory) 8 and RA for storing various data
An M (random access memory) 9, a data ROM 11 that stores constant data and the like necessary for various calculations in the control unit 7, and each moon phase display 31a in the display unit 2
A decoder driver 10 for driving display of 3 to 31 l.

The control unit 7 calculates the current time, calculates the time angle of the moon, calculates the age of the moon, etc. based on various operation programs stored in the program ROM 8, and stores the calculation results in a register of the RAM 9 which will be described later. The data to be displayed is read from the RAM 9 and is output to the decoder driver 10. The decoder driver 10 drives the display of each of the moon phase displays 31a to 31l based on the data from the RAM 9.

FIG. 4 shows the configuration of the register of the RAM 9, in which the moon phase indicator 31a is provided.
To register A ₀ for storing data indicating which to turn any 31l, display Patan 31a, 31b, 32
a, A, 32b, registers A _{1 to} A ₄ , which store data indicating whether or not to turn on the corresponding display patterns, and data to be displayed among data to be described later such as time, time difference, and longitude. A display register A _{5 for} storing is provided.

The mode register Y stores a numerical value M corresponding to the operation mode. For example, M = 0 in the normal state, M = 1 in the time setting mode, and M in the month data setting mode. = 2 is stored. Current time register X
Stores the current time including the time, year, day, day of the week, hour, minute, and second. The register B stores time difference data between the time stored in the current time register X and the Greenwich time. The register C is a register that stores longitude data that is position information, and the register D is a register that stores latitude data that is position information. The time difference, longitude, and latitude data are preset by the operation keys 35b and 35c in the M = 2 month data setting mode.

The register E is a register for storing the age data obtained by the later-described age calculation, and the register G is a register for storing the time angle data obtained by the later-described time angle calculation. In addition, the flag register f ₁
Is a register for storing the flag F0 ₀ set by the carry signal when it is generated every hour, and the flag F ₀
When = 1 is set, the time angle calculation is executed. Flag register f ₂ is a register which stores a flag F ₁ is set by the date carry signal generated every day, age operation is performed when the flag F ₁ = 1 is set.

The register Z is a register for temporarily storing data during calculation, and has a plurality of memory areas Z ₀ and Z _1.
... Z _n .

Next, the operation of the present embodiment having the above configuration will be described. FIG. 5 is a flowchart for explaining the overall processing contents of this embodiment.

The month data display clock of this embodiment is usually
In the HALT state of step S1 in FIG.
If there is no key input, for example, the timekeeping processing in the timekeeping unit equal to or less than the minute unit in step S2 is executed every 16 Hz. In this minute or less time counting process, the time is counted in units of 1/16 second, second and minute, and when the minute reaches 60 minutes, the hour carry signal is output. Then, in the next step S3, it is determined whether or not the hour carry signal is present. When the hour carry signal is generated, "1" is set to the flag F0 of the RAM 9 (S4). Here, the flag F0 is set to "1" because the time angle calculation of the moon, which will be described later, is performed on an hourly basis.

After that, the time counting process of step S5 is executed. In this time unit time counting process, if a time carry signal is generated as a result of the minute or less time counting process in step S2, 1 is added to the hour unit data, and when the added time exceeds 24 hours, the daily carry signal is further added. Output.

Then, in step S6, it is determined whether or not there is a daily carry signal. When the day carry signal occurs,
In step S7, the flag F1 of the RAM 9 is set to "1". Here, the flag F1 is set to "1" because
This is because the age calculation described later is performed on a daily basis.

Then, in the next step S8, the time counting process for the day, month, day of the week, and year is executed. In this day, month, day of the week, and year counting processing, if a day carry signal is generated, the day of the week is changed, and 1 is added to the daily data. Then, as a result of the addition, if monthly or yearly carry occurs, the time data of the month or year is further updated, and the updated time data is transferred to the current time register X of the RAM 9.

After the time counting process is completed as described above, the process proceeds to step S9, and it is determined whether or not the flag F ₀ is set in the flag register f ₀ . Flag F ₀
If = 0, that is, if the hour carry signal is not generated, the process proceeds to the display process of step S15. On the other hand, if the flag F0 is 1, it is the calculation timing for calculating the hour angle of the moon every hour, and the moon angle calculation processing of step S10 is executed.

The moon angle calculation processing in step S10 will be described in detail below. First, the time stored in the present time register X, which is timed by the above-described time counting process, is converted into the Greenwich time based on the time difference data stored in the register B, and the Greenwich time is stored in the register Z0 of the RAM 9.

Next, a variable T for calculating the right ascension of the moon at the time of the Greenwich side star is calculated and stored in the register Z1 of the RAM 9. Here, the variable T is the number of days elapsed from 0:00 January 1, 2000 (Greenwich time: GMT = UT hours) divided by the Julus century (36525 days), where year = YE, month = MN , Day = DA, W = (YE-1
900) / 4, F = FRAC (W), A = INT (14
61 × W), B = INT [(MN + 7) / 10], C =
INT (1-F), D = INT [0.44 × (MN +
4.4)], Z = A + 31 × MN + DA + (B-1) ×
When C−B × D + HO / 24, the variable T is T =
It can be represented by (Z-36556.5) / 36525. In this way, the variable T is calculated, and the calculated value is stored in the register Z1 of the RAM 9.

Next, the Greenwich sidereal time K at UT = 0 is calculated. That is, when Y = Z-250012, the Greenwich sidereal time K is K = 24 × FRAC (0.002
7379 × Y). In this way, the Greenwich sidereal time is calculated, and the calculated value is stored in the register Z2 of the RAM 9.

Next, the RA of the moon at UT = 0 is calculated.

Formula 1 α = 32084.52539 × T + 14.554441 + 0.41925 × COS (477198.868 × T + 44.963) + 0.16358 × COS (962535.762 × T + 166.633) + 0.08494 × COS (413335) .350 × T + 10.740) + 0.07104 × COS (193.140 × T + 324.960) + 0.07048 × COS (964469.900 × T + 41.590) + 0.04389 × COS (890534.220 × T + 145.700)

Then, the RA of the moon: α (m) is α
(M) = 24 × FRAC (α / 24)

From the above formula, the RA of the moon at UT = 0 is calculated, and the calculated value is stored in the register Z3 of the RAM 9.

Next, based on the Greenwich sidereal time and the apparent RA of the moon thus obtained, UT = at Greenwich
Calculate the hour angle JK of the 0:00 month. The hour angle JK of the moon can be calculated by the following equation 2.

Formula 2 JK = K-α (m); (K-α (m) A> 0) K-α + 24; (K-α (m) A <0)

The data of the hour angle JK of the month obtained from the above equation 2 is stored in the register Z4 of the RAM 9.

As described above, since the data of the angle of the moon at UT = 0 o'clock in Greenwich on the day is obtained, the calculation of the angle of the month of the next day is performed. First, the date data at the time stored in the register Z1 is incremented by 1 and stored in the register Zn, and the variable T of the next day which is incremented by 1 is calculated and stored in the register Z5 of the RAM 9.

Next, the next day's UT = 0 hour Greenwich sidereal time and the visual RA of the moon are calculated, and those values are stored in RAM.
9 registers Z6 and Z7. Then, the angle of the moon at UT = 0 o'clock in Greenwich on the next day is obtained from the Greenwich sidereal time on the next day and the visual right longitude of the moon, and the value is stored in the register Z6 of the RAM 9.

By the above calculation, the UT in Greenwich
Since the hour angle of the current day at = 0 o'clock and the hour angle of the next day's month are obtained, the lunar lunar day cycle of the month is calculated next. The lunar lunar diurnal cycle is when the moon's hour angle becomes 0h and then the moon's hour angle becomes 0.
It is the time until it becomes h, and shows the time of one cycle of the diurnal movement of the moon.

Now, assuming that DJK = (angle of the moon at UT = 0 o'clock on the next day)-(angle of the moon at UT = 0 o'clock on the current day), the lunar lunar day cycle LNR can be expressed by Equation 3.

Equation 3 LNR = 576 / DJK DJK> 0 576 / (DJK + 24) DJK <0

From the above equation 3, the lunar lunar cycle LNR is calculated,
The value is stored in the register Z7 of the RAM 9.

Next, the time when the hour angle of the month becomes 0:00 (UT
Time) is calculated. The time when the hour angle is 0 o'clock, that is, the UT hour, can be obtained by UT = (the hour angle of the month on the day UT = 0 hour) − (the lunar day cycle LNR / 24). In Greenwich thus obtained, the time at which the hour angle of the month becomes 0 o'clock is obtained, and the value is stored in the register Z ₈ of the RAM 9.

Next, the time at which the time angle of the moon becomes 0 o'clock at the point during time counting or at the designated point is calculated from the time at which the time angle of the moon at Greenwich obtained at the above-mentioned calculation becomes 0 o'clock. The time t at which the moon angle is 0 o'clock at any point is t =
(Time at which the angle in Greenwich is 0h) + (UT
Time difference with time)-(Lunar diurnal cycle LNR / 24) + (Longitude /
You can ask for it in 15).

By substituting the longitude and the time difference from Greenwich at the designated time point or the designated time point into the above calculation formula, the time at which the hour angle of the moon becomes 0:00 at that point is obtained, and the time is stored in the RAM.
9 in register Z ₉ .

For example, in Tokyo at 139.75 degrees east longitude, the time t at which the time angle of the moon is 0 o'clock is the time difference between Tokyo and Greenwich (+9 hours), and the lunar lunar day cycle LNR (24. 7 o'clock), UT = (time of the day UT = 0 o'clock on the day of the month)-(thick lunar day cycle LNR / 24) calculated from the UT time (20.79 o'clock) at which the time is 0 o'clock. You can ask for it.

Formula 4 t = 20.79 o'clock + 9 o'clock- (24.7 / 24) × 139.75 / 15 = 20.20 o'clock = 20: 12

When the time at which the hour angle of the moon becomes 0 o'clock at any point is obtained by the above calculation, the current hour during time counting or the hour angle of the moon at the designated time is calculated and stored in the register G of the RAM 9. To do.

Lunar lunar diurnal cycle obtained by the above calculation = 2
4.7 o'clock and the time when the moon's hour angle becomes 0h in Tokyo =
20:12 and the desired current time (for example, 11:35
From the time difference with the minute (8.62 o'clock), the time difference of the moon at both times can be obtained by proportional calculation.

When the time angle difference is obtained by the proportional calculation, the time angle difference = 24 × 8.62 ÷ 24.7 = 8.38h. If this time difference is subtracted from the month time 0h (= 24h),
The hour angle of the moon at 11: 35 = 15.62h can be obtained.

That is, by designating the longitude of the arbitrary point and the time difference from Greenwich, it is possible to easily obtain the hour angle of the moon at the arbitrary time at the point by the above-mentioned calculation.

If the calculation of the hour angle of the moon is completed in this way, then in step S11 of FIG. 5, the flag F0 is set to "0".
Reset to. Then, in the next step S12, it is determined whether or not the flag F1 = 1. When the flag F1 = 1,
That is, when 24 hours have passed and the date is changed, the process proceeds to step S13 to execute the age calculation.

In calculating the age of the moon, the current day and the year 2000
TP is the difference from noon (GMT = 12: 00) on January 1st,
Let TL be the day that becomes the reference new month, and TL = TP + 365.
5, G = TL / 29.53. Then, the age of the moon can be simply expressed by Equation 5.

Number of months 5 months = (fractional part of G) × 29.53 (GMT = 12: 00) = (fractional part of G) × 29.53 + 0.5−time difference / 24 (LST = noon)

FIG. 6 is a view for explaining the relationship between the age of the moon and the moon graph (moon phase) obtained by the above-mentioned age calculation. If the moon age data obtained by the above-described age calculation is any value in the range of 0.0 to 1.8 days or 27.8 to 29.53, the moon graph corresponds to the new moon. The data of the age obtained at this time is written in the register E of the RAM 9.

Similarly, if the age data obtained by the above-described age calculation is any value within the range of 13.0 to 16.6 days, the lunar phase corresponds to a full moon. The age data obtained at this time is written in the register E. The same applies to the case where the age data obtained by the calculation is in another angle range, and the relationship between the age and the lunar phase is as shown in the chart of FIG.

When the age calculation in step S13 is completed, the process proceeds to step S14, the flag F ₁ is set to 0, and then the display process in step S15 is executed. In this display processing, the display processing of the moon phase indicators 31a to 31l as shown in FIGS. 7 to 10 is performed based on the data obtained by the above-mentioned moon angle calculation and moon age calculation.

In the example shown in FIG. 7, the current time is 10:00 pm, the hour angle data of the moon stored in the register G of the RAM 9 is 20:00, and the age data stored in the register E is 13.0.
˜16.6 days range. That is, in this case, the moon phase indicator 3 is displayed with respect to the register A ₀ of the display register A based on the hour data of the month stored in the register G at 20:00.
Data for lighting the 1k is written, The data 13 of age stored in the register E. 0 ~ 16. Each display Patan 31a 6 days based on the register A _1, 31b, 32
Data for lighting all of a and 32b is written, and as a result, as shown in FIG. 7, the moon phase indicator 31k at the position of 20 o'clock is displayed in a lit state like a full moon. The angle and phase of the moon can be recognized at a glance.

In the example shown in FIG. 8, the current time is 8:00 pm,
The data of the hour angle of the month stored in the register G of the RAM 9 is 2
At this time, the age data stored in register E is 20.3-2.
This is the case in the range of 4.0 days. That is, in this case, the data for turning on the moon phase indicator 31b is written in the register A ₀ of the display register A based on the data 2 o'clock of the moon angle stored in the register G, and the register E is also written. Data for turning on the display patterns 31a and 32b is written in the register A ₁ based on the moon age data 20.3 to 24.0 stored in the table. As a result, as shown in FIG. The moon phase indicator 31b is displayed in a lit state like a half moon, and the time angle and moon phase of the moon at this time can be recognized at a glance. The non-lighted part of the moon phase indicator 31b is shown in black.

In the example shown in FIG. 9, the current time is 6:00 pm,
The data of the month angle stored in the register G of the RAM 9 is 4
At this time, the age data stored in the register E is 1.9 to 5.
In the case of the range of 6 days. That is, in this case, the data for turning on the moon phase indicator 31c is written to the register A ₀ of the display register A based on the data 4 o'clock of the moon angle stored in the register G, and the register E is also written. Based on the aging data 1.9 to 5.6 days stored in, the data for turning on only the display pattern 32b is written in the register A ₁ , and as a result, as shown in FIG. The moon phase indicator 31c is displayed in a lit state like a crescent moon, and the time angle and moon phase of the moon at this time can be recognized at a glance.

Similarly, in the example shown in FIG. 10, the current time is 10:00 am, the hour angle data of the month stored in the register G of the RAM 9 is 22:00, and the age data stored in the register E is 27.8. -19.53 days. That is,
In this case, the data for turning on the moon phase indicator 31k is written to the register A ₀ of the display register A based on the data 20:00 of the moon angle stored in the register G, and is also stored in the register E. Age data 27.8-1
Display pattern 31a on register A ₁ based on 9.53 days
Data for turning off all of 31b, 32a, and 32b is written. As a result, as shown in FIG. 10, the moon phase indicator 31k at the position of 22:00 is displayed in a non-illuminated state (shown in black). , You can recognize at a glance that the lunar angle and the lunar phase are new moons.

When the operation key 35 is operated in the halt state of step S1 described above, the process proceeds to the key processing of step S17, and M = 0 is set in the mode register Y,
In the time display mode, the moon phase indicators 31a to 31
All 1's are turned off and only the minute hand 21 and the minute hand 22 are displayed as a clock.

[0066]

According to the present invention described in detail above, the following effects can be obtained.

According to the invention described in claim 1, it is possible to provide a month data display clock capable of recognizing the moon phase of the moon at an arbitrary time and the time angle at that time at a glance by simply looking at the dial.

According to the second aspect of the present invention, a combination of lighting of two bow-shaped display patterns and two crescent-shaped display patterns according to the age data makes it possible to display a full moon by each moon phase indicator. It is possible to provide a month data display clock capable of displaying changes in the lunar phase from the month to the new moon.

[Brief description of the drawings]

FIG. 1 is a front view showing a month data display clock according to the present embodiment.

FIG. 2 is an enlarged view showing a moon phase indicator of the month data display clock according to the present embodiment.

FIG. 3 is a block diagram showing a circuit configuration of a month data display clock according to the present embodiment.

FIG. 4 is a configuration diagram of a RAM of the month data display clock according to the present embodiment.

FIG. 5 is a flowchart showing the overall operation of this embodiment.

FIG. 6 is a moon graph (moon phase) according to the present embodiment,
It is a figure which shows the relationship between the age of a moon and the display position on a dial.

FIG. 7 is a diagram showing a display example of a time angle and a moon phase at 10:00 pm on the month data display clock according to the present embodiment.

FIG. 8 is a diagram showing a display example of a time angle and a moon phase at 8:00 pm of the month data display clock according to the present embodiment.

FIG. 9 is a diagram showing a display example of a time angle and a moon phase at 6:00 pm of the month data display clock according to the present embodiment.

FIG. 10: 10 am of the month data display clock according to the present embodiment
It is a figure which shows the display example of a time angle and a moon phase in time.

[Explanation of symbols]

 1 Clock body 2 Display unit 3 Oscillator 4 Dividing circuit 5 Timing signal generating circuit 6 Key input unit 7 Control unit 8 Program ROM 9 RAM 10 Data driver 11 Data ROM 21 Long hand 22 Short hand 31a to 31l Month phase indicator 32a, 32b Display pattern 33a, 33b Display pattern

Claims (2)

[Claims] 1. A plurality of moon phase indicators which have a needle type analog timepiece function and which can display a moon phase state from a new moon to a full moon arranged on a dial in a layout corresponding to the time angle of the moon. The time at which the current time is measured, the position information storage means for storing the position information on the earth, and the time information measured by the time measurement device and the position information stored in the position information storage device. Of the moon angle data and the moon age data of the moon, and the moon phase indicator at the position corresponding to this time angle data based on the moon angle data and the moon age data calculated by this means. Means for displaying in the moon phase state corresponding to, and a month data display clock characterized by having. 2. The moon phase display body is formed by abutting two bow-shaped display patterns using a liquid crystal display element, and using the liquid crystal display element on the outside of each of the two display patterns.
The month data display timepiece according to claim 1, wherein the crescent moon-shaped display patterns are arranged to form a circular shape as a whole.