Name:	gyro_LiquidationBasisOfAccountingAccruedClosingCreditForInfrastructureCosts
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Data Type:	xbrli:monetaryItemType
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Period Type:	instant

Amount of earnest money deposit for sale of real estate property.

No definition available.

Name:	gyro_SaleOfRealEstatePropertyEarnestMoneyDeposit
Namespace Prefix:	gyro_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Period for investigation that earnest money deposit is subject to under sale of real estate property.

No definition available.

Name:	gyro_SaleOfRealEstatePropertyEarnestMoneyDepositInvestigationPeriod
Namespace Prefix:	gyro_
Data Type:	xbrli:durationItemType
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Period Type:	duration

Period of termination if fail to obtain all approvals.

No definition available.

Name:	gyro_SaleOfRealEstatePropertyFailureToObtainApprovalsPeriodOfTermination
Namespace Prefix:	gyro_
Data Type:	xbrli:durationItemType
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Period Type:	duration

The infrastructure costs of real estate property.

No definition available.

Name:	gyro_SaleOfRealEstatePropertyInfrastructureCosts
Namespace Prefix:	gyro_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Period after site plan approval for investigation period notice date for sale of real estate property.

No definition available.

Name:	gyro_SaleOfRealEstatePropertyInvestigationPeriodNoticeDatePeriodAfterSitePlanApproval
Namespace Prefix:	gyro_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

Period after waiving of site approval plan contingency for investigation period notice date under sale of real estate property.

No definition available.

Name:	gyro_SaleOfRealEstatePropertyInvestigationPeriodNoticeDatePeriodAfterWaivingOfSiteApprovalPlanContingency
Namespace Prefix:	gyro_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

The purchase price of the real estate property.

No definition available.

Name:	gyro_SaleOfRealEstatePropertyPurchasePrice
Namespace Prefix:	gyro_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Period for subdivision approval for sale of real estate property.

No definition available.

Name:	gyro_SaleOfRealEstatePropertySubdivisionApprovalPeriod
Namespace Prefix:	gyro_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

Area of land held.

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 970
-SubTopic 360
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.12-28(Column A)(Footnote 2))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478979/970-360-S99-1

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Data Type:	dtr-types:areaItemType
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Period Type:	instant

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	srt_StatementGeographicalAxis=gyro_StJamesNewYorkMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: